Research Article Selection of Key Component Vendor from...
Transcript of Research Article Selection of Key Component Vendor from...
Research ArticleSelection of Key Component Vendor from the Aspects ofCapability Productivity and Reliability
Vincent F Yu1 Catherine W Kuo2 and Luu Quoc Dat13
1 Department of Industrial Management National Taiwan University of Science and Technology No 43 Sec 4 Keelung RoadTaipei 10607 Taiwan
2Graduate Institute of Management National Taiwan University of Science and Technology No 43 Sec 4 Keelung RoadTaipei 10607 Taiwan
3 Faculty of Development Economics University of Economics and Business Vietnam National UniversityNo 144 XuanThuy Road Cau Giay District Hanoi 10000 Vietnam
Correspondence should be addressed to Catherine W Kuo ckworldwide66gmailcom
Received 16 March 2014 Revised 2 June 2014 Accepted 8 June 2014 Published 2 July 2014
Academic Editor W Y Szeto
Copyright copy 2014 Vincent F Yu et al This is an open access article distributed under the Creative Commons Attribution Licensewhich permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited
In a technology-driven industry the appropriate vendorssuppliers can effectively contribute to cobusiness development profits Keycomponent vendors help dynamically drive solution design firms to achieve strong performances especially when an integratedcircuit (IC) component that has technical know-how specifications dominates an electronic solution design This paper presents asystematic framework to examine the decision process for the selection of wireless fidelity (Wi-Fi) IC vendor alternatives from thebusiness ecosystem aspect in order to review the importance of buyer-supplier synergistic effects We implement the fuzzy analytichierarchy process technique which incorporates a vendorrsquos capability productivity and reliability characteristics into a hierarchicalstructure and deploys decision expertsrsquo judgments along with vague data analysis to solve a real-world problem faced by a leadingcompany specialized in the research and design of wireless networking solutions The findings indicate the Taiwanese local vendoris the top priority for alternatives selection and the results contribute significant values to the design firmrsquos operation management
1 Introduction
In the information communication and technology (ICT)industry where technological specifications are phased intoan electronic device the issues of suppliersrsquo competitiveadvantages are measured more in depth than the terms andconditions of pricecost productservice quality or deliveryA key component vendor as part of business supply chaincells is devoted to technological skills so as to achieve marketdriven requirements When a Wi-Fi IC component adoptstechnological specifications deploys a solution design-intechnique dominates 12 of a main board cost and evenshares 13 of the bill-of-material (BOM) cost in one wirelessnetworking device the decision to purchase or replace a keycomponent is more than just a bargaining power negotiationconducted by a single procurement department
Several research studies have released results on theimpacts of vendorsrsquo (suppliersrsquo) characteristics under differ-ent industrial viewpoints so as to examine and measure the
selection of vendorsupplier alternatives Appropriate ven-dorssuppliers can effectively contribute to cobusiness devel-opment profits especially in technology-driven industriesClose buyer-supplier relationships can share business infor-mation and technology development trends [1] During theproduct development stage the decision to integrate prod-uct architecture with a supply chain design is significantlyimportant for industries [2] Thus matching new productfeature developments with the choice of suppliers can impactfirm performance for example when solutions contain newelectronic components and new process techniques in theautomotive industry [3] The stable delivery of goods andtechnology ability are the top two criteria for selecting sup-pliers in the electronics industry [4] Product quality is onedistinct examination attribute of suppliers when outsourcingtechnological specification products that are applied duringa procurement decision process analysis for railway parts [5]Buyersrsquo operations can be severely impacted due to suppliersrsquo
Hindawi Publishing CorporationMathematical Problems in EngineeringVolume 2014 Article ID 124652 7 pageshttpdxdoiorg1011552014124652
2 Mathematical Problems in Engineering
reliability to deliver on time in this outsourced supply chainmanagement era [6] Even appropriate vendor alternativesare implemented when evaluating the quality of productdurability in steel component selection [7] For a notebookmanufacturer the lowest unit cost of an outsourcedTFT-LCDpart is not the first priority for an appropriate supplier [8]whereas for product cost effectiveness quality stability andon-time delivery concerns a garment manufacturing firmrsquostop management evaluates appropriate suppliers through itsRampD marketing and purchasing departmentsrsquo evaluationfeedback [9]
This paper measures and analyzes one Wi-Fi IC vendorrsquosalternatives by looking at the tactics within the enterprisersquosorganizational culture as well as operationmanagement char-acteristics in the wireless networking communications indus-try Following a review of knowledgeable product designengineers project managersrsquo judgments and salespersonsrsquofeedback we find some significant impact factors classifiedas follows (i) sensitivity to market competition the abilitiesof up-to-date advanced technology and the skills of financialmanagement through vendorsrsquo competitiveness capabilities(ii) the fact that product price justifies flexibility productionoutput arrangement and inventory planning management ofvendorsrsquo performance (iii) the confidence in componentsrsquoquality and delivery as well as the risk management of thevendors
Fuzzy analytic hierarchy process which was first pro-posed by [10] has become one of the most widely used toolsformultiple criteria decisionmaking (MCDM)The literaturehas proposed numerous fuzzy analytic hierarchy process(AHP) methods to solve various types of problems [11ndash19]Among the existing AHP approaches the extent analysismethod proposed by [12] is a commonly used approach thatis highly cited and has wide applications The AHP method-ology is utilized to demonstrate a hierarchical structure andto examine the weights of the decision elements reviewedand evaluated by experts while the proposed fuzzy AHPtechnique can effectively consider the vagueness of decisionmakersrsquo opinions on the ranking of alternative suppliersThisstudy applies the fuzzy AHP technique proposed by [12]to incorporate a vendorrsquos capability productivity and relia-bility characteristics into a hierarchical structure to deploydecision expertsrsquo judgment and also implements vague dataanalysis
The remainder of the paper is organized as followsSection 2 presents the research background along with therelated literature Section 3 proposes the fuzzy analytic hier-archy process methodology Section 4 applies the fuzzy AHPmethodology to the selection ofWi-Fi IC component vendoralternatives Finally Section 5 draws conclusions and discus-sions
2 Literature Review
Maximizing profits through cost-expenditure minimizationis the fundamental philosophy of a corporate operationmanagement strategy but reviewing the related influentialelements is an essential and critical process For amore global
industrial environment the issue on firmsrsquo competitionadvantage always stresses their operation and the contribu-tion from suppliersrsquo expertise and how it affects the firmsrsquosuccess Through firmsrsquo synergistic effects suppliersrsquo corecompetence can be integrated into new product design andbusiness development with the benefits being cost reductionand time efficiency Reference [20] highlights the impor-tance of high-tech business success through the synergisticresolution of strategic network effects while [21] examinesthe contribution of IT resource synergy to organizationalperformance and how competitiveness is substantial andflourishing In a technology-driven industry and marketenvironment the outsourced solutions from knowledgeablesuppliers present systematic impacts related to the develop-ment of productsprojects Reference [22] indicates that astrong relationship with suppliers can result in new productdevelopment outsourcing being controlled quite well intechnology-intensive markets Under a complete businessdevelopment ecosystem buyers (customersusers) and sup-pliers (solutionservice providers) are interdependent in avalue-added supply chain network Reference [23] shows thatthe partner selection of direct suppliers is one of the impor-tant success factors for the core business of a mobile businessecosystem Reference [24] analyzes the effect of early supplierinvolvement on project teamrsquos effectiveness Through newprojectproduct developersrsquo and contributorsrsquo coordinationin their supply chain team involvement continual customervalue creation can be achieved Reference [25] points outthat a demand and supply integration mechanism plays atremendous role due to intrateamsrsquo knowledge integrationandmanagement Reference [26] provides insights of coordi-nation between new product development and supply chainmanagement for value creation
Several research studies look at some factors affectingvendor selection criterion as analyzed by the fuzzy set theoryand AHP approaches Reference [13] indicates that steel qual-ity cost and delivery issues for a metal manufacturing com-pany are the major measurement criteria of supplier selec-tion implemented on electronic marketplaces Reference [17]identifies and measures suppliersrsquo technical ability variablefor a washing machine case research on supplier selectionReference [19] concludes that vendorsrsquo financial positionquality and delivery are the top three factors for a multicrite-ria supplier segmentation evaluation applied to a case analysisin the food industry Reference [27] addresses capabilitiesof suppliersrsquo financial technical and production factors thataffect a health product firmrsquos decision on supplier evaluationand selection Furthermore the risks from geographical loca-tion and political and economical stability impact supplierselection [28] and outsourcing risk management due toeconomic environmental crises [29] while the criteria ofrisk in inventory control management [30] are prime factorsacross suppliers and buyers Reference [31] proposes a fuzzylogic approach to supplier evaluation for development
In the electronics industry special material vendorssup-pliers mostly play the key role in devoting their capabilitiesproductivities and reliabilities to support the final prod-uctsolution providers during the new product design or newproject development phases Reference [18] notes that the
Mathematical Problems in Engineering 3
Table 1 Characteristics released on the vendorsupplier selectionreferencesCharacteristics ReferencesDelivery [1 4 6ndash9 13 17 19 27 28]Costprice [1 4 7ndash9 13 17ndash19 27ndash29 32]Quality [1 4 5 7 9 13 17ndash19 27ndash29 32 33]Technology [1 4 7 17 27 33]Risk [1 18 28]Production [4 7 17 27]Finance [4 5 7 17 19 32]Inventory [6 30]
cost criterion is the first priority of concern followed byquality service and risk for a Taiwanese digital consumermanufacturer to select its global suppliers Reference [32]addresses an evaluation process of supplier selection andfirmly identifies technique capability as well as design anddevelopment ability as the two major influential elements inprofessional technology for one electronic manufacturer Inthe initial stage of new product development [33] indicatesthat quality reliability and technological capability are impor-tant subcriteria factors adopted for plastic injection vendorselection by a personal digital assistant (PDA) developerTable 1 reviews the characteristics in the vendorsupplierselection Reference [34] uses a qualitative embedded single-case strategy in shipbuilding industry to explore the impor-tance of supplier capabilities in one shipyard and examineshow consistently the shipyard and its 20 suppliers assess thecapabilities of the suppliers
3 Fuzzy Analytic HierarchyProcess Methodology
This study adopts the extent analysis method proposed by[12] due to its computational simplicity The extent analysismethod is briefly discussed as follows
Let 119883 = 1199091 1199092 119909
119899 be an object set and let 119880 =
1199061 1199062 119906
119898 be a goal set According to [12] each object is
taken and an extent analysis for each goal (119892119894) is performed
respectively Therefore the 119898 extent analysis values for eachobject are obtained as 1198721
1198921198941198722
119892119894 119872
119899
119892119894 119894 = 1 2 119899
where 119872119895119892119894(119895 = 1 2 119898) are triangular fuzzy numbers
(TFNs)Assume that 119872119895
119892119894are the values of extent analysis of the
119894th object for119898 goalsThe value of fuzzy synthetic extent 119878119894is
defined as
119878119894=
119898
sum
119895=1
119872119895
119892119894otimes [
[
119899
sum
119894=1
119898
sum
119895=1
119872119895
119892119894
]
]
minus1
(1)
where sum119898119895=1
119872119895
119892119894= (sum119898
119895=1119897119895 sum119898
119895=1119898119895 sum119898
119895=1119906119895 ) 119895 = 1 2
119898 119894 = 1 2 119899Let119872
1= (1198971 1198981 1199061) and119872
2= (1198972 1198982 1199062) be two TFNs
whereby the degree of possibility of 1198721ge 1198722is defined as
follows
119881 (1198721ge 1198722) = sup119909ge119910
[min (1205831198721
(119909) 1205831198722
(119909))] (2)
y
x0
M1M2
m1m2
D
l1l2 u1u2d
V(M2 ge M1)
Figure 1 The comparison of two fuzzy numbers
The membership degree of possibility is expressed as
119881 (1198721ge 1198722) = ℎ119892119905 (119872
1cap1198722) = 1205831198722
(119889)
=
1 if 1198981ge 1198982
0 if 1198971ge 1199062
1198971minus 1199062
(1198982minus 1199062) minus (119898
1minus 1198971)
otherwise
(3)
where 119889 is the ordinate of the highest intersection point oftwo membership functions 120583
1198721(119909) and 120583
1198722(119909) as shown in
Figure 1The degree of possibility for a convex fuzzy number to be
greater than 119896 convex fuzzy numbers is defined as
119881 (119872 ge 11987211198722 119872
119896) = min119881 (119872 ge 119872
119894)
119894 = 1 2 119896
(4)
The weight vector is given by
1198821015840= (1198891015840(1198601) 1198891015840(1198602) 119889
1015840(119860119899))119879
(5)
where
119860119894(119894 = 1 2 119899) 119889
1015840(119860119894) = min119881 (119878
119894ge 119878119896)
119896 = 1 2 119899 119896 = 119894
(6)
Via normalization we obtain the weight vectors as
119882 = (119889(1198601) 119889(119860
2) 119889(119860
119899))119879
(7)
where119882 is a nonfuzzy numberIn this present case Changrsquos method [12] is applied to
solve a vendor selection and evaluation problem We adopt aldquoLikert scalerdquo of fuzzy numbers starting from 1 to 9 to trans-form the linguistic values into TFNs as shown in Table 2
4 The Empirical Case Analysis
To awireless networking technology-driven firm the intrare-lationship management with its vendors is conducted
4 Mathematical Problems in Engineering
Table 2 Triangular fuzzy conversation scale [11]
Linguistic values Triangular fuzzynumbers
Reciprocal triangularfuzzy scale
(1) Unimportant (U) (1 1 1) (1 1 1)(2) Between U and SL (1 2 3) (13 12 1)(3) Slightly important (SL) (2 3 4) (14 13 12)(4) Between SL and MI (3 4 5) (15 14 13)(5) Moderately important (MI) (4 5 6) (16 15 14)(6) Between MI and SI (5 6 7) (17 16 15)(7) Seriously important (SI) (6 7 8) (18 17 16)(8) Between SI and VSI (7 8 9) (19 18 17)(9) Very seriously important (VSI) (8 9 9) (19 19 18)
Table 3 Fuzzy AHP analysis of key Wi-Fi component IC vendorsrsquo evaluation and selection
Criteria Definition Subcriteria Definition
Capability (1198621)
Expertise andexperiences related tocompetitiveness
Market sensitivitylowast (MS-11986211) To meet market trends and customer
requirements
Technology availability (TA-11986212) To achieve up-to-date technological
specification designFinancial stability (FS-119862
13) To manage financial operation
Productivity (1198622) Flexibilities and
arrangement
Price policy (PP-11986221) To adjust costpricing offerings
Production capacity (PC-11986222) To fulfill just-in-time demand
Inventory strategylowastlowast (IS-11986223) To control materials and allocation of
finished goods
Reliability (1198623)
Accuracy andcommitments onmanagement
Product quality (PQ-11986231) To ensure product performance
On-time delivery (TD-11986232) To arrange delivery schedules
Risk management (RM-11986233) To manage risk factors
Note lowastkey subcriteria for Wi-Fi IC supplier selection lowastlowastmust subcriteria to judge Wi-Fi IC suppliersrsquo performance and management
through global business development so as to overcomethe limitations of technological knowledge To become aqualified key component vendor to fulfill system designersrsquorequirements alternative candidates should be fully and sys-tematically evaluated This research presents a measurementanalysis on a fifty-employee Taiwanese RampD design firmwitha very good track record for five consecutive years in wirelessnetworking solution design The critical decision for thisfirm is to select an appropriate value-added Wi-Fi IC vendorfrom two choices (a) Vendor A is a well-known world-classfirm that specializes in networking computing and mobilesolutions design for home and enterprise users includingapplications utilized on digital homes notebooks tabletsmobile phones mobile routers and so forth (b) Vendor B is apublicly traded IC design company in Taiwan with a broaderrange of high-tech product applications including solutionsfor implementation on computer peripherals communica-tion networks and multimedia Based on a questionnairesurvey feedback from 5 managers (2 electronic engineers 2project managers and one account manager) of each vendorand 7 managers (2 project managers 2 procurement man-agers 1 engineer for firmware 1 electronic engineer and onesales account) of the case studyrsquos design firm received inOcto-ber 2013 we apply a methodology to measure the weights ofthree criteria and nine subcriteria respectively and examinethe weights of the nine subcriteria versus alternatives fromthe final score of fuzzy AHP analysis Table 3 and Figure 2
define the criteria and subcriteria used to evaluate and selectWi-Fi IC vendors
Based on criteria and subcriteria defined in Table 3 and(1)ndash(7) we are able to calculate the importance weights of thecriteria and subcriteria as well as the weights of alternativesversus the subcriteria in Tables 4ndash6
We are now able to obtain the final score of each alterna-tive as Table 7
The data indicates that the vendorrsquos productivity(1198622 055) is a relatively greater concern versus the other
two criteria (see Table 4) On the weights of the subcriteriafinancial stability (119862
13 10) is the most important factor
under the decision choice on the capability term andinventory stability (119862
23 054) and production capability
(11986222 046) impact the greatest upon the productivity issue
while risk management (11986233 052) and on-time delivery
(11986232 048) hold critical weights under the reliability criterion
(see Table 5) For the weights of the two alternatives versusthe nine subcriteria respectively the Fuzzy AHP approachanalysis chooses Vendor B (119860
2 0724 versus119860
1 0276) as the
top priority for alternatives selection (see Tables 6 and 7)
5 Conclusions and Discussions
The selection of key component vendor alternatives involvesmultiple issues that can be systematically examined through
Mathematical Problems in Engineering 5
Table 4 The importance weights of the criteria
Criteria 1198621
1198622
1198623
119882119888
1198621
100 100 100 030 038 048 054 072 087 01198622
208 262 332 100 100 100 055 076 100 0551198623
115 139 184 100 132 180 100 100 100 045
Vendor A Vendor B
MS TA FS PP PC IS PQ TD RM
Selection of the best Wi-Fi IC vendor
Capability Productivity Reliability
Figure 2 Hierarchy of Wi-Fi component IC vendorsrsquo evaluation and selection problem
Table 5 The importance weights of the subcriteria
Subcriteria 11986211
11986212
11986213
119882119888
11986211
100 100 100 096 119 138 033 045 057 011986212
072 084 104 100 100 100 024 031 040 011986213
176 224 300 247 324 424 100 100 100 1Subcriteria 119862
2111986222
11986223
119882119888
11986221
100 100 100 030 040 051 022 028 037 011986222
195 249 331 100 100 100 029 039 047 04611986223
273 356 447 212 259 347 100 100 100 054Subcriteria 119862
3111986232
11986233
119882119888
11986231
100 100 100 020 025 031 025 032 040 011986232
318 400 500 100 100 100 044 057 074 04811986233
247 312 400 135 176 229 100 100 100 052
teamsrsquo analysis under a multicriteria decision process Tar-geting profit maximization a Wi-Fi IC component supplieris driven by a productrsquos bill-of-material (BOM) cost thatresults from the technological specificationsfeatures that arephased in during a new product design stage The insightsfrom this empirical case study identify some important issuesfor the evaluation measurement and analysis actions duringthe decision process for key component vendor selectionin technology-driven industries Through the perspectivesof synergistic effects and business ecosystems we offerthe following key results of our study for industries andacademia (i) The added value of the decision process onWi-Fi IC component vendorsrsquo selection encompasses technologyknow-how the main IC that makes up the main cost ofthe solution main board and the BOM cost performance(ii) The blueprint of the examination factors focuses on
Table 6 The weights of alternatives versus the subcriteria
11988211986211
1198601
1198602
119882119888
1198601
100 100 100 047 059 071 01198602
141 171 212 100 100 100 111988211986212
1198601
1198602
119882119888
1198601
100 100 100 036 049 067 01198602
149 203 276 100 100 100 111988211986213
1198601
1198602
119882119888
1198601
100 100 100 069 087 094 031198602
106 115 144 100 100 100 0711988211986221
1198601
1198602
119882119888
1198601
100 100 100 059 088 117 0441198602
085 113 170 100 100 100 05611988211986222
1198601
1198602
119882119888
1198601
100 100 100 057 076 104 0361198602
096 132 176 100 100 100 06411988211986223
1198601
1198602
119882119888
1198601
100 100 100 053 067 080 01198602
125 150 188 100 100 100 111988211986231
1198601
1198602
119882119888
1198601
100 100 100 043 058 077 0091198602
129 174 235 100 100 100 09111988211986232
1198601
1198602
119882119888
1198601
100 100 100 081 104 119 0521198602
084 096 124 100 100 100 04811988211986233
1198601
1198602
119882119888
1198601
100 100 100 059 079 096 0311198602
104 126 169 100 100 100 069
the evaluation issues of (a) competitiveness capability (b)productivity performance and (c) management reliability(iii) This study bridges gaps in previous research concerning
6 Mathematical Problems in Engineering
Table 7 Final score of each alternative
Alternative Score1198601
02761198602
0724
market sensitivity on market trends and customer require-ments (iv) The key characteristics to look at during the ven-dor selection process come from vendorsrsquo viewpoints and thesolution design firmrsquos examination of the impacts from threecriteria and nine subcriteria (v) The results herein indicatethat the strategic vendor evaluation analysis and report can beused as a reference by a firmrsquos operation management whenplanning a strategy for resource allocation
In an ICT technology-driven and customer-centric busi-ness ecosystem firms need to structure a value chain mech-anism through knowledge sharing network collaborationwith key suppliers and customers The scope and scale offuture research should integrate cross-functional cooperationamong teams to widely investigate the supply chain value ina global and dynamic context Given these issues we notethe following (1) Open innovation (OI) which involves agreater number of ideas knowledge areas and experiencescontributed by external partners is the key antecedent ofstrategic decisions made by firms (2) Knowledge manage-ment (KM) which drives firms by sharing and deployingknowledge to organizations for objective achievement is amultidisciplined theoretical approach suitable for industrialpractitioners in research and analysis Therefore in order tobuild up different research criteria that can be integrated withquantitativemeasurement analysis theories for future studieswe propose research objectives on customer value creationand supply chain value through the use of multipurposemodels
Conflict of Interests
The authors declare that there is no conflict of interestsregarding the publication of this paper
References
[1] AH I Lee ldquoA fuzzy supplier selectionmodelwith the consider-ation of benefits opportunities costs and risksrdquo Expert Systemswith Applications vol 36 no 2 pp 2879ndash2893 2009
[2] B Nepal L Monplaisir and O Famuyiwa ldquoMatching productarchitecture with supply chain designrdquo European Journal ofOperational Research vol 216 no 2 pp 312ndash325 2012
[3] M Pero N Abdelkafi A Sianesi and T Blecker ldquoA frameworkfor the alignment of new product development and supplychainsrdquo Supply Chain Management vol 15 no 2 pp 115ndash1282010
[4] B Chang C Chang and C Wu ldquoFuzzy DEMATEL methodfor developing supplier selection criteriardquo Expert Systems withApplications vol 38 no 3 pp 1850ndash1858 2011
[5] G Bruno E Esposito A Genovese andR Passaro ldquoAHP-basedapproaches for supplier evaluation problems and perspectivesrdquoJournal of Purchasing and Supply Management vol 18 no 3 pp159ndash172 2012
[6] E Elahi ldquoOutsourcing through competition what is the bestcompetition parameterrdquo International Journal of ProductionEconomics vol 144 no 1 pp 370ndash382 2013
[7] M Punniyamoorthy PMathiyalagan and P Parthiban ldquoA stra-tegic model using structural equation modeling and fuzzy logicin supplier selectionrdquo Expert Systems with Applications vol 38no 1 pp 458ndash474 2011
[8] A H I Lee H Kang and C Chang ldquoFuzzy multiple goal pro-gramming applied to TFT-LCD supplier selection by down-stream manufacturersrdquo Expert Systems with Applications vol36 no 3 pp 6318ndash6325 2009
[9] K Shaw R Shankar S S Yadav and L S Thakur ldquoSupplierselection using fuzzy AHP and fuzzy multi-objective linearprogramming for developing low carbon supply chainrdquo ExpertSystems with Applications vol 39 no 9 pp 8182ndash8192 2012
[10] P J M van Laarhoven and W Pedrycz ldquoA fuzzy extension ofSaatyrsquos priority theoryrdquo Fuzzy Sets and Systems vol 11 no 3 pp229ndash241 1983
[11] K P Anagnostopoulos M Gratziou and A P VavatsikosldquoUsing the fuzzy analytic hierarchy process for selecting waste-water facilities at prefectrure levelrdquo European Water pp 15ndash242007
[12] D Chang ldquoApplications of the extent analysis method on fuzzyAHPrdquo European Journal of Operational Research vol 95 no 3pp 649ndash655 1996
[13] I Chamodrakas D Batis and D Martakos ldquoSupplier selectionin electronic marketplaces using satisficing and fuzzy AHPrdquoExpert Systems with Applications vol 37 no 1 pp 490ndash4982010
[14] C A Bana e Costa and J-C Vansnick ldquoA critical analysis of theeigenvalue method used to derive priorities in AHPrdquo EuropeanJournal of Operational Research vol 187 no 3 pp 1422ndash14282008
[15] O Cakir ldquoOn the order of the preference intensities in fuzzyAHPrdquo Computers and Industrial Engineering vol 54 no 4 pp993ndash1005 2008
[16] LMikhailov ldquoDeriving priorities from fuzzy pairwise compari-son judgementsrdquo Fuzzy Sets and Systems vol 134 no 3 pp 365ndash385 2003
[17] O Kilincci and S A Onal ldquoFuzzy AHP approach for supplierselection in a washing machine companyrdquo Expert Systems withApplications vol 38 no 8 pp 9656ndash9664 2011
[18] C Ku C Chang and H Ho ldquoGlobal supplier selection usingfuzzy analytic hierarchy process and fuzzy goal programmingrdquoQuality and Quantity vol 44 no 4 pp 623ndash640 2010
[19] J Rezaei and R Ortt ldquoMulti-criteria supplier segmentationusing a fuzzy preference relations basedAHPrdquoEuropean Journalof Operational Research vol 225 no 1 pp 75ndash84 2013
[20] S Shim and B Lee ldquoSustainable competitive advantage of asystem goods innovator in a market with network effects andentry threatsrdquo Decision Support Systems vol 52 no 2 pp 308ndash317 2012
[21] J-L Chen ldquoThe synergistic effects of IT-enabled resources onorganizational capabilities and firm performancerdquo Informationand Management vol 49 no 3-4 pp 142ndash150 2012
[22] N Harmancioglu ldquoPortfolio of controls in outsourcing rela-tionships for global new product developmentrdquo IndustrialMarketing Management vol 38 no 4 pp 394ndash403 2009
[23] J Zhang and X Liang ldquoBusiness ecosystem strategies of mobilenetwork operators in the 3G era the case of China MobilerdquoTelecommunications Policy vol 35 no 2 pp 156ndash171 2011
Mathematical Problems in Engineering 7
[24] S J Wu and G L Ragatz ldquoEvaluating the total effect of earlysupplier involvement on project team effectiveness collabora-tion and interactionrdquo International Journal of Integrated SupplyManagement vol 5 no 3 pp 239ndash259 2010
[25] T L Esper A E Ellinger T P Stank D J Flint and M MoonldquoDemand and supply integration a conceptual framework ofvalue creation through knowledge managementrdquo Journal of theAcademy of Marketing Science vol 38 no 1 pp 5ndash18 2010
[26] P Hilletofth and D Eriksson ldquoCoordinating new productdevelopment with supply chain managementrdquo Industrial Man-agement and Data Systems vol 111 no 2 pp 264ndash281 2011
[27] J Roshandel S S Miri-Nargesi and L Hatami-ShirkouhildquoEvaluating and selecting the supplier in detergent productionindustry using hierarchical fuzzy TOPSISrdquo Applied Mathemat-ical Modelling vol 37 no 24 pp 10170ndash10181 2013
[28] A Zouggari and L Benyoucef ldquoSimulation based fuzzy TOPSISapproach for group multi-criteria supplier selection problemrdquoEngineering Applications of Artificial Intelligence vol 25 no 3pp 507ndash519 2012
[29] DWu D DWu Y Zhang and D L Olson ldquoSupply chain out-sourcing risk using an integrated stochastic-fuzzy optimizationapproachrdquo Information Sciences vol 235 pp 242ndash258 2013
[30] Y Kristianto P Helo J R Jiao and M Sandhu ldquoAdaptive fuzzyvendor managed inventory control for mitigating the Bull-whip effect in supply chainsrdquo European Journal of OperationalResearch vol 216 no 2 pp 346ndash355 2012
[31] LOsiro F R Lima-Junior andLC RCarpinetti ldquoA fuzzy logicapproach to supplier evaluation for developmentrdquo InternationalJournal of Production Economics vol 153 pp 95ndash112 2014
[32] Y Chen and R Chao ldquoSupplier selection using consistent fuzzypreference relationsrdquo Expert Systems with Applications vol 39no 3 pp 3233ndash3240 2012
[33] C-Y Shen and K-T Yu ldquoEnhancing the efficacy of supplierselection decision-making on the initial stage of new productdevelopment a hybrid fuzzy approach considering the strategicand operational factors simultaneouslyrdquo Expert Systems withApplications vol 36 no 8 pp 11271ndash11281 2009
[34] I Ruuska T Ahola M Martinsuo and T Westerholm ldquoSup-plier capabilities in large shipbuilding projectsrdquo InternationalJournal of Project Management vol 31 no 4 pp 542ndash553 2013
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Volume 2014 Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Stochastic AnalysisInternational Journal of
2 Mathematical Problems in Engineering
reliability to deliver on time in this outsourced supply chainmanagement era [6] Even appropriate vendor alternativesare implemented when evaluating the quality of productdurability in steel component selection [7] For a notebookmanufacturer the lowest unit cost of an outsourcedTFT-LCDpart is not the first priority for an appropriate supplier [8]whereas for product cost effectiveness quality stability andon-time delivery concerns a garment manufacturing firmrsquostop management evaluates appropriate suppliers through itsRampD marketing and purchasing departmentsrsquo evaluationfeedback [9]
This paper measures and analyzes one Wi-Fi IC vendorrsquosalternatives by looking at the tactics within the enterprisersquosorganizational culture as well as operationmanagement char-acteristics in the wireless networking communications indus-try Following a review of knowledgeable product designengineers project managersrsquo judgments and salespersonsrsquofeedback we find some significant impact factors classifiedas follows (i) sensitivity to market competition the abilitiesof up-to-date advanced technology and the skills of financialmanagement through vendorsrsquo competitiveness capabilities(ii) the fact that product price justifies flexibility productionoutput arrangement and inventory planning management ofvendorsrsquo performance (iii) the confidence in componentsrsquoquality and delivery as well as the risk management of thevendors
Fuzzy analytic hierarchy process which was first pro-posed by [10] has become one of the most widely used toolsformultiple criteria decisionmaking (MCDM)The literaturehas proposed numerous fuzzy analytic hierarchy process(AHP) methods to solve various types of problems [11ndash19]Among the existing AHP approaches the extent analysismethod proposed by [12] is a commonly used approach thatis highly cited and has wide applications The AHP method-ology is utilized to demonstrate a hierarchical structure andto examine the weights of the decision elements reviewedand evaluated by experts while the proposed fuzzy AHPtechnique can effectively consider the vagueness of decisionmakersrsquo opinions on the ranking of alternative suppliersThisstudy applies the fuzzy AHP technique proposed by [12]to incorporate a vendorrsquos capability productivity and relia-bility characteristics into a hierarchical structure to deploydecision expertsrsquo judgment and also implements vague dataanalysis
The remainder of the paper is organized as followsSection 2 presents the research background along with therelated literature Section 3 proposes the fuzzy analytic hier-archy process methodology Section 4 applies the fuzzy AHPmethodology to the selection ofWi-Fi IC component vendoralternatives Finally Section 5 draws conclusions and discus-sions
2 Literature Review
Maximizing profits through cost-expenditure minimizationis the fundamental philosophy of a corporate operationmanagement strategy but reviewing the related influentialelements is an essential and critical process For amore global
industrial environment the issue on firmsrsquo competitionadvantage always stresses their operation and the contribu-tion from suppliersrsquo expertise and how it affects the firmsrsquosuccess Through firmsrsquo synergistic effects suppliersrsquo corecompetence can be integrated into new product design andbusiness development with the benefits being cost reductionand time efficiency Reference [20] highlights the impor-tance of high-tech business success through the synergisticresolution of strategic network effects while [21] examinesthe contribution of IT resource synergy to organizationalperformance and how competitiveness is substantial andflourishing In a technology-driven industry and marketenvironment the outsourced solutions from knowledgeablesuppliers present systematic impacts related to the develop-ment of productsprojects Reference [22] indicates that astrong relationship with suppliers can result in new productdevelopment outsourcing being controlled quite well intechnology-intensive markets Under a complete businessdevelopment ecosystem buyers (customersusers) and sup-pliers (solutionservice providers) are interdependent in avalue-added supply chain network Reference [23] shows thatthe partner selection of direct suppliers is one of the impor-tant success factors for the core business of a mobile businessecosystem Reference [24] analyzes the effect of early supplierinvolvement on project teamrsquos effectiveness Through newprojectproduct developersrsquo and contributorsrsquo coordinationin their supply chain team involvement continual customervalue creation can be achieved Reference [25] points outthat a demand and supply integration mechanism plays atremendous role due to intrateamsrsquo knowledge integrationandmanagement Reference [26] provides insights of coordi-nation between new product development and supply chainmanagement for value creation
Several research studies look at some factors affectingvendor selection criterion as analyzed by the fuzzy set theoryand AHP approaches Reference [13] indicates that steel qual-ity cost and delivery issues for a metal manufacturing com-pany are the major measurement criteria of supplier selec-tion implemented on electronic marketplaces Reference [17]identifies and measures suppliersrsquo technical ability variablefor a washing machine case research on supplier selectionReference [19] concludes that vendorsrsquo financial positionquality and delivery are the top three factors for a multicrite-ria supplier segmentation evaluation applied to a case analysisin the food industry Reference [27] addresses capabilitiesof suppliersrsquo financial technical and production factors thataffect a health product firmrsquos decision on supplier evaluationand selection Furthermore the risks from geographical loca-tion and political and economical stability impact supplierselection [28] and outsourcing risk management due toeconomic environmental crises [29] while the criteria ofrisk in inventory control management [30] are prime factorsacross suppliers and buyers Reference [31] proposes a fuzzylogic approach to supplier evaluation for development
In the electronics industry special material vendorssup-pliers mostly play the key role in devoting their capabilitiesproductivities and reliabilities to support the final prod-uctsolution providers during the new product design or newproject development phases Reference [18] notes that the
Mathematical Problems in Engineering 3
Table 1 Characteristics released on the vendorsupplier selectionreferencesCharacteristics ReferencesDelivery [1 4 6ndash9 13 17 19 27 28]Costprice [1 4 7ndash9 13 17ndash19 27ndash29 32]Quality [1 4 5 7 9 13 17ndash19 27ndash29 32 33]Technology [1 4 7 17 27 33]Risk [1 18 28]Production [4 7 17 27]Finance [4 5 7 17 19 32]Inventory [6 30]
cost criterion is the first priority of concern followed byquality service and risk for a Taiwanese digital consumermanufacturer to select its global suppliers Reference [32]addresses an evaluation process of supplier selection andfirmly identifies technique capability as well as design anddevelopment ability as the two major influential elements inprofessional technology for one electronic manufacturer Inthe initial stage of new product development [33] indicatesthat quality reliability and technological capability are impor-tant subcriteria factors adopted for plastic injection vendorselection by a personal digital assistant (PDA) developerTable 1 reviews the characteristics in the vendorsupplierselection Reference [34] uses a qualitative embedded single-case strategy in shipbuilding industry to explore the impor-tance of supplier capabilities in one shipyard and examineshow consistently the shipyard and its 20 suppliers assess thecapabilities of the suppliers
3 Fuzzy Analytic HierarchyProcess Methodology
This study adopts the extent analysis method proposed by[12] due to its computational simplicity The extent analysismethod is briefly discussed as follows
Let 119883 = 1199091 1199092 119909
119899 be an object set and let 119880 =
1199061 1199062 119906
119898 be a goal set According to [12] each object is
taken and an extent analysis for each goal (119892119894) is performed
respectively Therefore the 119898 extent analysis values for eachobject are obtained as 1198721
1198921198941198722
119892119894 119872
119899
119892119894 119894 = 1 2 119899
where 119872119895119892119894(119895 = 1 2 119898) are triangular fuzzy numbers
(TFNs)Assume that 119872119895
119892119894are the values of extent analysis of the
119894th object for119898 goalsThe value of fuzzy synthetic extent 119878119894is
defined as
119878119894=
119898
sum
119895=1
119872119895
119892119894otimes [
[
119899
sum
119894=1
119898
sum
119895=1
119872119895
119892119894
]
]
minus1
(1)
where sum119898119895=1
119872119895
119892119894= (sum119898
119895=1119897119895 sum119898
119895=1119898119895 sum119898
119895=1119906119895 ) 119895 = 1 2
119898 119894 = 1 2 119899Let119872
1= (1198971 1198981 1199061) and119872
2= (1198972 1198982 1199062) be two TFNs
whereby the degree of possibility of 1198721ge 1198722is defined as
follows
119881 (1198721ge 1198722) = sup119909ge119910
[min (1205831198721
(119909) 1205831198722
(119909))] (2)
y
x0
M1M2
m1m2
D
l1l2 u1u2d
V(M2 ge M1)
Figure 1 The comparison of two fuzzy numbers
The membership degree of possibility is expressed as
119881 (1198721ge 1198722) = ℎ119892119905 (119872
1cap1198722) = 1205831198722
(119889)
=
1 if 1198981ge 1198982
0 if 1198971ge 1199062
1198971minus 1199062
(1198982minus 1199062) minus (119898
1minus 1198971)
otherwise
(3)
where 119889 is the ordinate of the highest intersection point oftwo membership functions 120583
1198721(119909) and 120583
1198722(119909) as shown in
Figure 1The degree of possibility for a convex fuzzy number to be
greater than 119896 convex fuzzy numbers is defined as
119881 (119872 ge 11987211198722 119872
119896) = min119881 (119872 ge 119872
119894)
119894 = 1 2 119896
(4)
The weight vector is given by
1198821015840= (1198891015840(1198601) 1198891015840(1198602) 119889
1015840(119860119899))119879
(5)
where
119860119894(119894 = 1 2 119899) 119889
1015840(119860119894) = min119881 (119878
119894ge 119878119896)
119896 = 1 2 119899 119896 = 119894
(6)
Via normalization we obtain the weight vectors as
119882 = (119889(1198601) 119889(119860
2) 119889(119860
119899))119879
(7)
where119882 is a nonfuzzy numberIn this present case Changrsquos method [12] is applied to
solve a vendor selection and evaluation problem We adopt aldquoLikert scalerdquo of fuzzy numbers starting from 1 to 9 to trans-form the linguistic values into TFNs as shown in Table 2
4 The Empirical Case Analysis
To awireless networking technology-driven firm the intrare-lationship management with its vendors is conducted
4 Mathematical Problems in Engineering
Table 2 Triangular fuzzy conversation scale [11]
Linguistic values Triangular fuzzynumbers
Reciprocal triangularfuzzy scale
(1) Unimportant (U) (1 1 1) (1 1 1)(2) Between U and SL (1 2 3) (13 12 1)(3) Slightly important (SL) (2 3 4) (14 13 12)(4) Between SL and MI (3 4 5) (15 14 13)(5) Moderately important (MI) (4 5 6) (16 15 14)(6) Between MI and SI (5 6 7) (17 16 15)(7) Seriously important (SI) (6 7 8) (18 17 16)(8) Between SI and VSI (7 8 9) (19 18 17)(9) Very seriously important (VSI) (8 9 9) (19 19 18)
Table 3 Fuzzy AHP analysis of key Wi-Fi component IC vendorsrsquo evaluation and selection
Criteria Definition Subcriteria Definition
Capability (1198621)
Expertise andexperiences related tocompetitiveness
Market sensitivitylowast (MS-11986211) To meet market trends and customer
requirements
Technology availability (TA-11986212) To achieve up-to-date technological
specification designFinancial stability (FS-119862
13) To manage financial operation
Productivity (1198622) Flexibilities and
arrangement
Price policy (PP-11986221) To adjust costpricing offerings
Production capacity (PC-11986222) To fulfill just-in-time demand
Inventory strategylowastlowast (IS-11986223) To control materials and allocation of
finished goods
Reliability (1198623)
Accuracy andcommitments onmanagement
Product quality (PQ-11986231) To ensure product performance
On-time delivery (TD-11986232) To arrange delivery schedules
Risk management (RM-11986233) To manage risk factors
Note lowastkey subcriteria for Wi-Fi IC supplier selection lowastlowastmust subcriteria to judge Wi-Fi IC suppliersrsquo performance and management
through global business development so as to overcomethe limitations of technological knowledge To become aqualified key component vendor to fulfill system designersrsquorequirements alternative candidates should be fully and sys-tematically evaluated This research presents a measurementanalysis on a fifty-employee Taiwanese RampD design firmwitha very good track record for five consecutive years in wirelessnetworking solution design The critical decision for thisfirm is to select an appropriate value-added Wi-Fi IC vendorfrom two choices (a) Vendor A is a well-known world-classfirm that specializes in networking computing and mobilesolutions design for home and enterprise users includingapplications utilized on digital homes notebooks tabletsmobile phones mobile routers and so forth (b) Vendor B is apublicly traded IC design company in Taiwan with a broaderrange of high-tech product applications including solutionsfor implementation on computer peripherals communica-tion networks and multimedia Based on a questionnairesurvey feedback from 5 managers (2 electronic engineers 2project managers and one account manager) of each vendorand 7 managers (2 project managers 2 procurement man-agers 1 engineer for firmware 1 electronic engineer and onesales account) of the case studyrsquos design firm received inOcto-ber 2013 we apply a methodology to measure the weights ofthree criteria and nine subcriteria respectively and examinethe weights of the nine subcriteria versus alternatives fromthe final score of fuzzy AHP analysis Table 3 and Figure 2
define the criteria and subcriteria used to evaluate and selectWi-Fi IC vendors
Based on criteria and subcriteria defined in Table 3 and(1)ndash(7) we are able to calculate the importance weights of thecriteria and subcriteria as well as the weights of alternativesversus the subcriteria in Tables 4ndash6
We are now able to obtain the final score of each alterna-tive as Table 7
The data indicates that the vendorrsquos productivity(1198622 055) is a relatively greater concern versus the other
two criteria (see Table 4) On the weights of the subcriteriafinancial stability (119862
13 10) is the most important factor
under the decision choice on the capability term andinventory stability (119862
23 054) and production capability
(11986222 046) impact the greatest upon the productivity issue
while risk management (11986233 052) and on-time delivery
(11986232 048) hold critical weights under the reliability criterion
(see Table 5) For the weights of the two alternatives versusthe nine subcriteria respectively the Fuzzy AHP approachanalysis chooses Vendor B (119860
2 0724 versus119860
1 0276) as the
top priority for alternatives selection (see Tables 6 and 7)
5 Conclusions and Discussions
The selection of key component vendor alternatives involvesmultiple issues that can be systematically examined through
Mathematical Problems in Engineering 5
Table 4 The importance weights of the criteria
Criteria 1198621
1198622
1198623
119882119888
1198621
100 100 100 030 038 048 054 072 087 01198622
208 262 332 100 100 100 055 076 100 0551198623
115 139 184 100 132 180 100 100 100 045
Vendor A Vendor B
MS TA FS PP PC IS PQ TD RM
Selection of the best Wi-Fi IC vendor
Capability Productivity Reliability
Figure 2 Hierarchy of Wi-Fi component IC vendorsrsquo evaluation and selection problem
Table 5 The importance weights of the subcriteria
Subcriteria 11986211
11986212
11986213
119882119888
11986211
100 100 100 096 119 138 033 045 057 011986212
072 084 104 100 100 100 024 031 040 011986213
176 224 300 247 324 424 100 100 100 1Subcriteria 119862
2111986222
11986223
119882119888
11986221
100 100 100 030 040 051 022 028 037 011986222
195 249 331 100 100 100 029 039 047 04611986223
273 356 447 212 259 347 100 100 100 054Subcriteria 119862
3111986232
11986233
119882119888
11986231
100 100 100 020 025 031 025 032 040 011986232
318 400 500 100 100 100 044 057 074 04811986233
247 312 400 135 176 229 100 100 100 052
teamsrsquo analysis under a multicriteria decision process Tar-geting profit maximization a Wi-Fi IC component supplieris driven by a productrsquos bill-of-material (BOM) cost thatresults from the technological specificationsfeatures that arephased in during a new product design stage The insightsfrom this empirical case study identify some important issuesfor the evaluation measurement and analysis actions duringthe decision process for key component vendor selectionin technology-driven industries Through the perspectivesof synergistic effects and business ecosystems we offerthe following key results of our study for industries andacademia (i) The added value of the decision process onWi-Fi IC component vendorsrsquo selection encompasses technologyknow-how the main IC that makes up the main cost ofthe solution main board and the BOM cost performance(ii) The blueprint of the examination factors focuses on
Table 6 The weights of alternatives versus the subcriteria
11988211986211
1198601
1198602
119882119888
1198601
100 100 100 047 059 071 01198602
141 171 212 100 100 100 111988211986212
1198601
1198602
119882119888
1198601
100 100 100 036 049 067 01198602
149 203 276 100 100 100 111988211986213
1198601
1198602
119882119888
1198601
100 100 100 069 087 094 031198602
106 115 144 100 100 100 0711988211986221
1198601
1198602
119882119888
1198601
100 100 100 059 088 117 0441198602
085 113 170 100 100 100 05611988211986222
1198601
1198602
119882119888
1198601
100 100 100 057 076 104 0361198602
096 132 176 100 100 100 06411988211986223
1198601
1198602
119882119888
1198601
100 100 100 053 067 080 01198602
125 150 188 100 100 100 111988211986231
1198601
1198602
119882119888
1198601
100 100 100 043 058 077 0091198602
129 174 235 100 100 100 09111988211986232
1198601
1198602
119882119888
1198601
100 100 100 081 104 119 0521198602
084 096 124 100 100 100 04811988211986233
1198601
1198602
119882119888
1198601
100 100 100 059 079 096 0311198602
104 126 169 100 100 100 069
the evaluation issues of (a) competitiveness capability (b)productivity performance and (c) management reliability(iii) This study bridges gaps in previous research concerning
6 Mathematical Problems in Engineering
Table 7 Final score of each alternative
Alternative Score1198601
02761198602
0724
market sensitivity on market trends and customer require-ments (iv) The key characteristics to look at during the ven-dor selection process come from vendorsrsquo viewpoints and thesolution design firmrsquos examination of the impacts from threecriteria and nine subcriteria (v) The results herein indicatethat the strategic vendor evaluation analysis and report can beused as a reference by a firmrsquos operation management whenplanning a strategy for resource allocation
In an ICT technology-driven and customer-centric busi-ness ecosystem firms need to structure a value chain mech-anism through knowledge sharing network collaborationwith key suppliers and customers The scope and scale offuture research should integrate cross-functional cooperationamong teams to widely investigate the supply chain value ina global and dynamic context Given these issues we notethe following (1) Open innovation (OI) which involves agreater number of ideas knowledge areas and experiencescontributed by external partners is the key antecedent ofstrategic decisions made by firms (2) Knowledge manage-ment (KM) which drives firms by sharing and deployingknowledge to organizations for objective achievement is amultidisciplined theoretical approach suitable for industrialpractitioners in research and analysis Therefore in order tobuild up different research criteria that can be integrated withquantitativemeasurement analysis theories for future studieswe propose research objectives on customer value creationand supply chain value through the use of multipurposemodels
Conflict of Interests
The authors declare that there is no conflict of interestsregarding the publication of this paper
References
[1] AH I Lee ldquoA fuzzy supplier selectionmodelwith the consider-ation of benefits opportunities costs and risksrdquo Expert Systemswith Applications vol 36 no 2 pp 2879ndash2893 2009
[2] B Nepal L Monplaisir and O Famuyiwa ldquoMatching productarchitecture with supply chain designrdquo European Journal ofOperational Research vol 216 no 2 pp 312ndash325 2012
[3] M Pero N Abdelkafi A Sianesi and T Blecker ldquoA frameworkfor the alignment of new product development and supplychainsrdquo Supply Chain Management vol 15 no 2 pp 115ndash1282010
[4] B Chang C Chang and C Wu ldquoFuzzy DEMATEL methodfor developing supplier selection criteriardquo Expert Systems withApplications vol 38 no 3 pp 1850ndash1858 2011
[5] G Bruno E Esposito A Genovese andR Passaro ldquoAHP-basedapproaches for supplier evaluation problems and perspectivesrdquoJournal of Purchasing and Supply Management vol 18 no 3 pp159ndash172 2012
[6] E Elahi ldquoOutsourcing through competition what is the bestcompetition parameterrdquo International Journal of ProductionEconomics vol 144 no 1 pp 370ndash382 2013
[7] M Punniyamoorthy PMathiyalagan and P Parthiban ldquoA stra-tegic model using structural equation modeling and fuzzy logicin supplier selectionrdquo Expert Systems with Applications vol 38no 1 pp 458ndash474 2011
[8] A H I Lee H Kang and C Chang ldquoFuzzy multiple goal pro-gramming applied to TFT-LCD supplier selection by down-stream manufacturersrdquo Expert Systems with Applications vol36 no 3 pp 6318ndash6325 2009
[9] K Shaw R Shankar S S Yadav and L S Thakur ldquoSupplierselection using fuzzy AHP and fuzzy multi-objective linearprogramming for developing low carbon supply chainrdquo ExpertSystems with Applications vol 39 no 9 pp 8182ndash8192 2012
[10] P J M van Laarhoven and W Pedrycz ldquoA fuzzy extension ofSaatyrsquos priority theoryrdquo Fuzzy Sets and Systems vol 11 no 3 pp229ndash241 1983
[11] K P Anagnostopoulos M Gratziou and A P VavatsikosldquoUsing the fuzzy analytic hierarchy process for selecting waste-water facilities at prefectrure levelrdquo European Water pp 15ndash242007
[12] D Chang ldquoApplications of the extent analysis method on fuzzyAHPrdquo European Journal of Operational Research vol 95 no 3pp 649ndash655 1996
[13] I Chamodrakas D Batis and D Martakos ldquoSupplier selectionin electronic marketplaces using satisficing and fuzzy AHPrdquoExpert Systems with Applications vol 37 no 1 pp 490ndash4982010
[14] C A Bana e Costa and J-C Vansnick ldquoA critical analysis of theeigenvalue method used to derive priorities in AHPrdquo EuropeanJournal of Operational Research vol 187 no 3 pp 1422ndash14282008
[15] O Cakir ldquoOn the order of the preference intensities in fuzzyAHPrdquo Computers and Industrial Engineering vol 54 no 4 pp993ndash1005 2008
[16] LMikhailov ldquoDeriving priorities from fuzzy pairwise compari-son judgementsrdquo Fuzzy Sets and Systems vol 134 no 3 pp 365ndash385 2003
[17] O Kilincci and S A Onal ldquoFuzzy AHP approach for supplierselection in a washing machine companyrdquo Expert Systems withApplications vol 38 no 8 pp 9656ndash9664 2011
[18] C Ku C Chang and H Ho ldquoGlobal supplier selection usingfuzzy analytic hierarchy process and fuzzy goal programmingrdquoQuality and Quantity vol 44 no 4 pp 623ndash640 2010
[19] J Rezaei and R Ortt ldquoMulti-criteria supplier segmentationusing a fuzzy preference relations basedAHPrdquoEuropean Journalof Operational Research vol 225 no 1 pp 75ndash84 2013
[20] S Shim and B Lee ldquoSustainable competitive advantage of asystem goods innovator in a market with network effects andentry threatsrdquo Decision Support Systems vol 52 no 2 pp 308ndash317 2012
[21] J-L Chen ldquoThe synergistic effects of IT-enabled resources onorganizational capabilities and firm performancerdquo Informationand Management vol 49 no 3-4 pp 142ndash150 2012
[22] N Harmancioglu ldquoPortfolio of controls in outsourcing rela-tionships for global new product developmentrdquo IndustrialMarketing Management vol 38 no 4 pp 394ndash403 2009
[23] J Zhang and X Liang ldquoBusiness ecosystem strategies of mobilenetwork operators in the 3G era the case of China MobilerdquoTelecommunications Policy vol 35 no 2 pp 156ndash171 2011
Mathematical Problems in Engineering 7
[24] S J Wu and G L Ragatz ldquoEvaluating the total effect of earlysupplier involvement on project team effectiveness collabora-tion and interactionrdquo International Journal of Integrated SupplyManagement vol 5 no 3 pp 239ndash259 2010
[25] T L Esper A E Ellinger T P Stank D J Flint and M MoonldquoDemand and supply integration a conceptual framework ofvalue creation through knowledge managementrdquo Journal of theAcademy of Marketing Science vol 38 no 1 pp 5ndash18 2010
[26] P Hilletofth and D Eriksson ldquoCoordinating new productdevelopment with supply chain managementrdquo Industrial Man-agement and Data Systems vol 111 no 2 pp 264ndash281 2011
[27] J Roshandel S S Miri-Nargesi and L Hatami-ShirkouhildquoEvaluating and selecting the supplier in detergent productionindustry using hierarchical fuzzy TOPSISrdquo Applied Mathemat-ical Modelling vol 37 no 24 pp 10170ndash10181 2013
[28] A Zouggari and L Benyoucef ldquoSimulation based fuzzy TOPSISapproach for group multi-criteria supplier selection problemrdquoEngineering Applications of Artificial Intelligence vol 25 no 3pp 507ndash519 2012
[29] DWu D DWu Y Zhang and D L Olson ldquoSupply chain out-sourcing risk using an integrated stochastic-fuzzy optimizationapproachrdquo Information Sciences vol 235 pp 242ndash258 2013
[30] Y Kristianto P Helo J R Jiao and M Sandhu ldquoAdaptive fuzzyvendor managed inventory control for mitigating the Bull-whip effect in supply chainsrdquo European Journal of OperationalResearch vol 216 no 2 pp 346ndash355 2012
[31] LOsiro F R Lima-Junior andLC RCarpinetti ldquoA fuzzy logicapproach to supplier evaluation for developmentrdquo InternationalJournal of Production Economics vol 153 pp 95ndash112 2014
[32] Y Chen and R Chao ldquoSupplier selection using consistent fuzzypreference relationsrdquo Expert Systems with Applications vol 39no 3 pp 3233ndash3240 2012
[33] C-Y Shen and K-T Yu ldquoEnhancing the efficacy of supplierselection decision-making on the initial stage of new productdevelopment a hybrid fuzzy approach considering the strategicand operational factors simultaneouslyrdquo Expert Systems withApplications vol 36 no 8 pp 11271ndash11281 2009
[34] I Ruuska T Ahola M Martinsuo and T Westerholm ldquoSup-plier capabilities in large shipbuilding projectsrdquo InternationalJournal of Project Management vol 31 no 4 pp 542ndash553 2013
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Volume 2014 Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Stochastic AnalysisInternational Journal of
Mathematical Problems in Engineering 3
Table 1 Characteristics released on the vendorsupplier selectionreferencesCharacteristics ReferencesDelivery [1 4 6ndash9 13 17 19 27 28]Costprice [1 4 7ndash9 13 17ndash19 27ndash29 32]Quality [1 4 5 7 9 13 17ndash19 27ndash29 32 33]Technology [1 4 7 17 27 33]Risk [1 18 28]Production [4 7 17 27]Finance [4 5 7 17 19 32]Inventory [6 30]
cost criterion is the first priority of concern followed byquality service and risk for a Taiwanese digital consumermanufacturer to select its global suppliers Reference [32]addresses an evaluation process of supplier selection andfirmly identifies technique capability as well as design anddevelopment ability as the two major influential elements inprofessional technology for one electronic manufacturer Inthe initial stage of new product development [33] indicatesthat quality reliability and technological capability are impor-tant subcriteria factors adopted for plastic injection vendorselection by a personal digital assistant (PDA) developerTable 1 reviews the characteristics in the vendorsupplierselection Reference [34] uses a qualitative embedded single-case strategy in shipbuilding industry to explore the impor-tance of supplier capabilities in one shipyard and examineshow consistently the shipyard and its 20 suppliers assess thecapabilities of the suppliers
3 Fuzzy Analytic HierarchyProcess Methodology
This study adopts the extent analysis method proposed by[12] due to its computational simplicity The extent analysismethod is briefly discussed as follows
Let 119883 = 1199091 1199092 119909
119899 be an object set and let 119880 =
1199061 1199062 119906
119898 be a goal set According to [12] each object is
taken and an extent analysis for each goal (119892119894) is performed
respectively Therefore the 119898 extent analysis values for eachobject are obtained as 1198721
1198921198941198722
119892119894 119872
119899
119892119894 119894 = 1 2 119899
where 119872119895119892119894(119895 = 1 2 119898) are triangular fuzzy numbers
(TFNs)Assume that 119872119895
119892119894are the values of extent analysis of the
119894th object for119898 goalsThe value of fuzzy synthetic extent 119878119894is
defined as
119878119894=
119898
sum
119895=1
119872119895
119892119894otimes [
[
119899
sum
119894=1
119898
sum
119895=1
119872119895
119892119894
]
]
minus1
(1)
where sum119898119895=1
119872119895
119892119894= (sum119898
119895=1119897119895 sum119898
119895=1119898119895 sum119898
119895=1119906119895 ) 119895 = 1 2
119898 119894 = 1 2 119899Let119872
1= (1198971 1198981 1199061) and119872
2= (1198972 1198982 1199062) be two TFNs
whereby the degree of possibility of 1198721ge 1198722is defined as
follows
119881 (1198721ge 1198722) = sup119909ge119910
[min (1205831198721
(119909) 1205831198722
(119909))] (2)
y
x0
M1M2
m1m2
D
l1l2 u1u2d
V(M2 ge M1)
Figure 1 The comparison of two fuzzy numbers
The membership degree of possibility is expressed as
119881 (1198721ge 1198722) = ℎ119892119905 (119872
1cap1198722) = 1205831198722
(119889)
=
1 if 1198981ge 1198982
0 if 1198971ge 1199062
1198971minus 1199062
(1198982minus 1199062) minus (119898
1minus 1198971)
otherwise
(3)
where 119889 is the ordinate of the highest intersection point oftwo membership functions 120583
1198721(119909) and 120583
1198722(119909) as shown in
Figure 1The degree of possibility for a convex fuzzy number to be
greater than 119896 convex fuzzy numbers is defined as
119881 (119872 ge 11987211198722 119872
119896) = min119881 (119872 ge 119872
119894)
119894 = 1 2 119896
(4)
The weight vector is given by
1198821015840= (1198891015840(1198601) 1198891015840(1198602) 119889
1015840(119860119899))119879
(5)
where
119860119894(119894 = 1 2 119899) 119889
1015840(119860119894) = min119881 (119878
119894ge 119878119896)
119896 = 1 2 119899 119896 = 119894
(6)
Via normalization we obtain the weight vectors as
119882 = (119889(1198601) 119889(119860
2) 119889(119860
119899))119879
(7)
where119882 is a nonfuzzy numberIn this present case Changrsquos method [12] is applied to
solve a vendor selection and evaluation problem We adopt aldquoLikert scalerdquo of fuzzy numbers starting from 1 to 9 to trans-form the linguistic values into TFNs as shown in Table 2
4 The Empirical Case Analysis
To awireless networking technology-driven firm the intrare-lationship management with its vendors is conducted
4 Mathematical Problems in Engineering
Table 2 Triangular fuzzy conversation scale [11]
Linguistic values Triangular fuzzynumbers
Reciprocal triangularfuzzy scale
(1) Unimportant (U) (1 1 1) (1 1 1)(2) Between U and SL (1 2 3) (13 12 1)(3) Slightly important (SL) (2 3 4) (14 13 12)(4) Between SL and MI (3 4 5) (15 14 13)(5) Moderately important (MI) (4 5 6) (16 15 14)(6) Between MI and SI (5 6 7) (17 16 15)(7) Seriously important (SI) (6 7 8) (18 17 16)(8) Between SI and VSI (7 8 9) (19 18 17)(9) Very seriously important (VSI) (8 9 9) (19 19 18)
Table 3 Fuzzy AHP analysis of key Wi-Fi component IC vendorsrsquo evaluation and selection
Criteria Definition Subcriteria Definition
Capability (1198621)
Expertise andexperiences related tocompetitiveness
Market sensitivitylowast (MS-11986211) To meet market trends and customer
requirements
Technology availability (TA-11986212) To achieve up-to-date technological
specification designFinancial stability (FS-119862
13) To manage financial operation
Productivity (1198622) Flexibilities and
arrangement
Price policy (PP-11986221) To adjust costpricing offerings
Production capacity (PC-11986222) To fulfill just-in-time demand
Inventory strategylowastlowast (IS-11986223) To control materials and allocation of
finished goods
Reliability (1198623)
Accuracy andcommitments onmanagement
Product quality (PQ-11986231) To ensure product performance
On-time delivery (TD-11986232) To arrange delivery schedules
Risk management (RM-11986233) To manage risk factors
Note lowastkey subcriteria for Wi-Fi IC supplier selection lowastlowastmust subcriteria to judge Wi-Fi IC suppliersrsquo performance and management
through global business development so as to overcomethe limitations of technological knowledge To become aqualified key component vendor to fulfill system designersrsquorequirements alternative candidates should be fully and sys-tematically evaluated This research presents a measurementanalysis on a fifty-employee Taiwanese RampD design firmwitha very good track record for five consecutive years in wirelessnetworking solution design The critical decision for thisfirm is to select an appropriate value-added Wi-Fi IC vendorfrom two choices (a) Vendor A is a well-known world-classfirm that specializes in networking computing and mobilesolutions design for home and enterprise users includingapplications utilized on digital homes notebooks tabletsmobile phones mobile routers and so forth (b) Vendor B is apublicly traded IC design company in Taiwan with a broaderrange of high-tech product applications including solutionsfor implementation on computer peripherals communica-tion networks and multimedia Based on a questionnairesurvey feedback from 5 managers (2 electronic engineers 2project managers and one account manager) of each vendorand 7 managers (2 project managers 2 procurement man-agers 1 engineer for firmware 1 electronic engineer and onesales account) of the case studyrsquos design firm received inOcto-ber 2013 we apply a methodology to measure the weights ofthree criteria and nine subcriteria respectively and examinethe weights of the nine subcriteria versus alternatives fromthe final score of fuzzy AHP analysis Table 3 and Figure 2
define the criteria and subcriteria used to evaluate and selectWi-Fi IC vendors
Based on criteria and subcriteria defined in Table 3 and(1)ndash(7) we are able to calculate the importance weights of thecriteria and subcriteria as well as the weights of alternativesversus the subcriteria in Tables 4ndash6
We are now able to obtain the final score of each alterna-tive as Table 7
The data indicates that the vendorrsquos productivity(1198622 055) is a relatively greater concern versus the other
two criteria (see Table 4) On the weights of the subcriteriafinancial stability (119862
13 10) is the most important factor
under the decision choice on the capability term andinventory stability (119862
23 054) and production capability
(11986222 046) impact the greatest upon the productivity issue
while risk management (11986233 052) and on-time delivery
(11986232 048) hold critical weights under the reliability criterion
(see Table 5) For the weights of the two alternatives versusthe nine subcriteria respectively the Fuzzy AHP approachanalysis chooses Vendor B (119860
2 0724 versus119860
1 0276) as the
top priority for alternatives selection (see Tables 6 and 7)
5 Conclusions and Discussions
The selection of key component vendor alternatives involvesmultiple issues that can be systematically examined through
Mathematical Problems in Engineering 5
Table 4 The importance weights of the criteria
Criteria 1198621
1198622
1198623
119882119888
1198621
100 100 100 030 038 048 054 072 087 01198622
208 262 332 100 100 100 055 076 100 0551198623
115 139 184 100 132 180 100 100 100 045
Vendor A Vendor B
MS TA FS PP PC IS PQ TD RM
Selection of the best Wi-Fi IC vendor
Capability Productivity Reliability
Figure 2 Hierarchy of Wi-Fi component IC vendorsrsquo evaluation and selection problem
Table 5 The importance weights of the subcriteria
Subcriteria 11986211
11986212
11986213
119882119888
11986211
100 100 100 096 119 138 033 045 057 011986212
072 084 104 100 100 100 024 031 040 011986213
176 224 300 247 324 424 100 100 100 1Subcriteria 119862
2111986222
11986223
119882119888
11986221
100 100 100 030 040 051 022 028 037 011986222
195 249 331 100 100 100 029 039 047 04611986223
273 356 447 212 259 347 100 100 100 054Subcriteria 119862
3111986232
11986233
119882119888
11986231
100 100 100 020 025 031 025 032 040 011986232
318 400 500 100 100 100 044 057 074 04811986233
247 312 400 135 176 229 100 100 100 052
teamsrsquo analysis under a multicriteria decision process Tar-geting profit maximization a Wi-Fi IC component supplieris driven by a productrsquos bill-of-material (BOM) cost thatresults from the technological specificationsfeatures that arephased in during a new product design stage The insightsfrom this empirical case study identify some important issuesfor the evaluation measurement and analysis actions duringthe decision process for key component vendor selectionin technology-driven industries Through the perspectivesof synergistic effects and business ecosystems we offerthe following key results of our study for industries andacademia (i) The added value of the decision process onWi-Fi IC component vendorsrsquo selection encompasses technologyknow-how the main IC that makes up the main cost ofthe solution main board and the BOM cost performance(ii) The blueprint of the examination factors focuses on
Table 6 The weights of alternatives versus the subcriteria
11988211986211
1198601
1198602
119882119888
1198601
100 100 100 047 059 071 01198602
141 171 212 100 100 100 111988211986212
1198601
1198602
119882119888
1198601
100 100 100 036 049 067 01198602
149 203 276 100 100 100 111988211986213
1198601
1198602
119882119888
1198601
100 100 100 069 087 094 031198602
106 115 144 100 100 100 0711988211986221
1198601
1198602
119882119888
1198601
100 100 100 059 088 117 0441198602
085 113 170 100 100 100 05611988211986222
1198601
1198602
119882119888
1198601
100 100 100 057 076 104 0361198602
096 132 176 100 100 100 06411988211986223
1198601
1198602
119882119888
1198601
100 100 100 053 067 080 01198602
125 150 188 100 100 100 111988211986231
1198601
1198602
119882119888
1198601
100 100 100 043 058 077 0091198602
129 174 235 100 100 100 09111988211986232
1198601
1198602
119882119888
1198601
100 100 100 081 104 119 0521198602
084 096 124 100 100 100 04811988211986233
1198601
1198602
119882119888
1198601
100 100 100 059 079 096 0311198602
104 126 169 100 100 100 069
the evaluation issues of (a) competitiveness capability (b)productivity performance and (c) management reliability(iii) This study bridges gaps in previous research concerning
6 Mathematical Problems in Engineering
Table 7 Final score of each alternative
Alternative Score1198601
02761198602
0724
market sensitivity on market trends and customer require-ments (iv) The key characteristics to look at during the ven-dor selection process come from vendorsrsquo viewpoints and thesolution design firmrsquos examination of the impacts from threecriteria and nine subcriteria (v) The results herein indicatethat the strategic vendor evaluation analysis and report can beused as a reference by a firmrsquos operation management whenplanning a strategy for resource allocation
In an ICT technology-driven and customer-centric busi-ness ecosystem firms need to structure a value chain mech-anism through knowledge sharing network collaborationwith key suppliers and customers The scope and scale offuture research should integrate cross-functional cooperationamong teams to widely investigate the supply chain value ina global and dynamic context Given these issues we notethe following (1) Open innovation (OI) which involves agreater number of ideas knowledge areas and experiencescontributed by external partners is the key antecedent ofstrategic decisions made by firms (2) Knowledge manage-ment (KM) which drives firms by sharing and deployingknowledge to organizations for objective achievement is amultidisciplined theoretical approach suitable for industrialpractitioners in research and analysis Therefore in order tobuild up different research criteria that can be integrated withquantitativemeasurement analysis theories for future studieswe propose research objectives on customer value creationand supply chain value through the use of multipurposemodels
Conflict of Interests
The authors declare that there is no conflict of interestsregarding the publication of this paper
References
[1] AH I Lee ldquoA fuzzy supplier selectionmodelwith the consider-ation of benefits opportunities costs and risksrdquo Expert Systemswith Applications vol 36 no 2 pp 2879ndash2893 2009
[2] B Nepal L Monplaisir and O Famuyiwa ldquoMatching productarchitecture with supply chain designrdquo European Journal ofOperational Research vol 216 no 2 pp 312ndash325 2012
[3] M Pero N Abdelkafi A Sianesi and T Blecker ldquoA frameworkfor the alignment of new product development and supplychainsrdquo Supply Chain Management vol 15 no 2 pp 115ndash1282010
[4] B Chang C Chang and C Wu ldquoFuzzy DEMATEL methodfor developing supplier selection criteriardquo Expert Systems withApplications vol 38 no 3 pp 1850ndash1858 2011
[5] G Bruno E Esposito A Genovese andR Passaro ldquoAHP-basedapproaches for supplier evaluation problems and perspectivesrdquoJournal of Purchasing and Supply Management vol 18 no 3 pp159ndash172 2012
[6] E Elahi ldquoOutsourcing through competition what is the bestcompetition parameterrdquo International Journal of ProductionEconomics vol 144 no 1 pp 370ndash382 2013
[7] M Punniyamoorthy PMathiyalagan and P Parthiban ldquoA stra-tegic model using structural equation modeling and fuzzy logicin supplier selectionrdquo Expert Systems with Applications vol 38no 1 pp 458ndash474 2011
[8] A H I Lee H Kang and C Chang ldquoFuzzy multiple goal pro-gramming applied to TFT-LCD supplier selection by down-stream manufacturersrdquo Expert Systems with Applications vol36 no 3 pp 6318ndash6325 2009
[9] K Shaw R Shankar S S Yadav and L S Thakur ldquoSupplierselection using fuzzy AHP and fuzzy multi-objective linearprogramming for developing low carbon supply chainrdquo ExpertSystems with Applications vol 39 no 9 pp 8182ndash8192 2012
[10] P J M van Laarhoven and W Pedrycz ldquoA fuzzy extension ofSaatyrsquos priority theoryrdquo Fuzzy Sets and Systems vol 11 no 3 pp229ndash241 1983
[11] K P Anagnostopoulos M Gratziou and A P VavatsikosldquoUsing the fuzzy analytic hierarchy process for selecting waste-water facilities at prefectrure levelrdquo European Water pp 15ndash242007
[12] D Chang ldquoApplications of the extent analysis method on fuzzyAHPrdquo European Journal of Operational Research vol 95 no 3pp 649ndash655 1996
[13] I Chamodrakas D Batis and D Martakos ldquoSupplier selectionin electronic marketplaces using satisficing and fuzzy AHPrdquoExpert Systems with Applications vol 37 no 1 pp 490ndash4982010
[14] C A Bana e Costa and J-C Vansnick ldquoA critical analysis of theeigenvalue method used to derive priorities in AHPrdquo EuropeanJournal of Operational Research vol 187 no 3 pp 1422ndash14282008
[15] O Cakir ldquoOn the order of the preference intensities in fuzzyAHPrdquo Computers and Industrial Engineering vol 54 no 4 pp993ndash1005 2008
[16] LMikhailov ldquoDeriving priorities from fuzzy pairwise compari-son judgementsrdquo Fuzzy Sets and Systems vol 134 no 3 pp 365ndash385 2003
[17] O Kilincci and S A Onal ldquoFuzzy AHP approach for supplierselection in a washing machine companyrdquo Expert Systems withApplications vol 38 no 8 pp 9656ndash9664 2011
[18] C Ku C Chang and H Ho ldquoGlobal supplier selection usingfuzzy analytic hierarchy process and fuzzy goal programmingrdquoQuality and Quantity vol 44 no 4 pp 623ndash640 2010
[19] J Rezaei and R Ortt ldquoMulti-criteria supplier segmentationusing a fuzzy preference relations basedAHPrdquoEuropean Journalof Operational Research vol 225 no 1 pp 75ndash84 2013
[20] S Shim and B Lee ldquoSustainable competitive advantage of asystem goods innovator in a market with network effects andentry threatsrdquo Decision Support Systems vol 52 no 2 pp 308ndash317 2012
[21] J-L Chen ldquoThe synergistic effects of IT-enabled resources onorganizational capabilities and firm performancerdquo Informationand Management vol 49 no 3-4 pp 142ndash150 2012
[22] N Harmancioglu ldquoPortfolio of controls in outsourcing rela-tionships for global new product developmentrdquo IndustrialMarketing Management vol 38 no 4 pp 394ndash403 2009
[23] J Zhang and X Liang ldquoBusiness ecosystem strategies of mobilenetwork operators in the 3G era the case of China MobilerdquoTelecommunications Policy vol 35 no 2 pp 156ndash171 2011
Mathematical Problems in Engineering 7
[24] S J Wu and G L Ragatz ldquoEvaluating the total effect of earlysupplier involvement on project team effectiveness collabora-tion and interactionrdquo International Journal of Integrated SupplyManagement vol 5 no 3 pp 239ndash259 2010
[25] T L Esper A E Ellinger T P Stank D J Flint and M MoonldquoDemand and supply integration a conceptual framework ofvalue creation through knowledge managementrdquo Journal of theAcademy of Marketing Science vol 38 no 1 pp 5ndash18 2010
[26] P Hilletofth and D Eriksson ldquoCoordinating new productdevelopment with supply chain managementrdquo Industrial Man-agement and Data Systems vol 111 no 2 pp 264ndash281 2011
[27] J Roshandel S S Miri-Nargesi and L Hatami-ShirkouhildquoEvaluating and selecting the supplier in detergent productionindustry using hierarchical fuzzy TOPSISrdquo Applied Mathemat-ical Modelling vol 37 no 24 pp 10170ndash10181 2013
[28] A Zouggari and L Benyoucef ldquoSimulation based fuzzy TOPSISapproach for group multi-criteria supplier selection problemrdquoEngineering Applications of Artificial Intelligence vol 25 no 3pp 507ndash519 2012
[29] DWu D DWu Y Zhang and D L Olson ldquoSupply chain out-sourcing risk using an integrated stochastic-fuzzy optimizationapproachrdquo Information Sciences vol 235 pp 242ndash258 2013
[30] Y Kristianto P Helo J R Jiao and M Sandhu ldquoAdaptive fuzzyvendor managed inventory control for mitigating the Bull-whip effect in supply chainsrdquo European Journal of OperationalResearch vol 216 no 2 pp 346ndash355 2012
[31] LOsiro F R Lima-Junior andLC RCarpinetti ldquoA fuzzy logicapproach to supplier evaluation for developmentrdquo InternationalJournal of Production Economics vol 153 pp 95ndash112 2014
[32] Y Chen and R Chao ldquoSupplier selection using consistent fuzzypreference relationsrdquo Expert Systems with Applications vol 39no 3 pp 3233ndash3240 2012
[33] C-Y Shen and K-T Yu ldquoEnhancing the efficacy of supplierselection decision-making on the initial stage of new productdevelopment a hybrid fuzzy approach considering the strategicand operational factors simultaneouslyrdquo Expert Systems withApplications vol 36 no 8 pp 11271ndash11281 2009
[34] I Ruuska T Ahola M Martinsuo and T Westerholm ldquoSup-plier capabilities in large shipbuilding projectsrdquo InternationalJournal of Project Management vol 31 no 4 pp 542ndash553 2013
Submit your manuscripts athttpwwwhindawicom
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
MathematicsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Mathematical Problems in Engineering
Hindawi Publishing Corporationhttpwwwhindawicom
Differential EquationsInternational Journal of
Volume 2014
Applied MathematicsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Probability and StatisticsHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Mathematical PhysicsAdvances in
Complex AnalysisJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
OptimizationJournal of
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CombinatoricsHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
International Journal of
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Operations ResearchAdvances in
Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Function Spaces
Abstract and Applied AnalysisHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
International Journal of Mathematics and Mathematical Sciences
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Algebra
Discrete Dynamics in Nature and Society
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
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Decision SciencesAdvances in
Discrete MathematicsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom
Volume 2014 Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Stochastic AnalysisInternational Journal of
4 Mathematical Problems in Engineering
Table 2 Triangular fuzzy conversation scale [11]
Linguistic values Triangular fuzzynumbers
Reciprocal triangularfuzzy scale
(1) Unimportant (U) (1 1 1) (1 1 1)(2) Between U and SL (1 2 3) (13 12 1)(3) Slightly important (SL) (2 3 4) (14 13 12)(4) Between SL and MI (3 4 5) (15 14 13)(5) Moderately important (MI) (4 5 6) (16 15 14)(6) Between MI and SI (5 6 7) (17 16 15)(7) Seriously important (SI) (6 7 8) (18 17 16)(8) Between SI and VSI (7 8 9) (19 18 17)(9) Very seriously important (VSI) (8 9 9) (19 19 18)
Table 3 Fuzzy AHP analysis of key Wi-Fi component IC vendorsrsquo evaluation and selection
Criteria Definition Subcriteria Definition
Capability (1198621)
Expertise andexperiences related tocompetitiveness
Market sensitivitylowast (MS-11986211) To meet market trends and customer
requirements
Technology availability (TA-11986212) To achieve up-to-date technological
specification designFinancial stability (FS-119862
13) To manage financial operation
Productivity (1198622) Flexibilities and
arrangement
Price policy (PP-11986221) To adjust costpricing offerings
Production capacity (PC-11986222) To fulfill just-in-time demand
Inventory strategylowastlowast (IS-11986223) To control materials and allocation of
finished goods
Reliability (1198623)
Accuracy andcommitments onmanagement
Product quality (PQ-11986231) To ensure product performance
On-time delivery (TD-11986232) To arrange delivery schedules
Risk management (RM-11986233) To manage risk factors
Note lowastkey subcriteria for Wi-Fi IC supplier selection lowastlowastmust subcriteria to judge Wi-Fi IC suppliersrsquo performance and management
through global business development so as to overcomethe limitations of technological knowledge To become aqualified key component vendor to fulfill system designersrsquorequirements alternative candidates should be fully and sys-tematically evaluated This research presents a measurementanalysis on a fifty-employee Taiwanese RampD design firmwitha very good track record for five consecutive years in wirelessnetworking solution design The critical decision for thisfirm is to select an appropriate value-added Wi-Fi IC vendorfrom two choices (a) Vendor A is a well-known world-classfirm that specializes in networking computing and mobilesolutions design for home and enterprise users includingapplications utilized on digital homes notebooks tabletsmobile phones mobile routers and so forth (b) Vendor B is apublicly traded IC design company in Taiwan with a broaderrange of high-tech product applications including solutionsfor implementation on computer peripherals communica-tion networks and multimedia Based on a questionnairesurvey feedback from 5 managers (2 electronic engineers 2project managers and one account manager) of each vendorand 7 managers (2 project managers 2 procurement man-agers 1 engineer for firmware 1 electronic engineer and onesales account) of the case studyrsquos design firm received inOcto-ber 2013 we apply a methodology to measure the weights ofthree criteria and nine subcriteria respectively and examinethe weights of the nine subcriteria versus alternatives fromthe final score of fuzzy AHP analysis Table 3 and Figure 2
define the criteria and subcriteria used to evaluate and selectWi-Fi IC vendors
Based on criteria and subcriteria defined in Table 3 and(1)ndash(7) we are able to calculate the importance weights of thecriteria and subcriteria as well as the weights of alternativesversus the subcriteria in Tables 4ndash6
We are now able to obtain the final score of each alterna-tive as Table 7
The data indicates that the vendorrsquos productivity(1198622 055) is a relatively greater concern versus the other
two criteria (see Table 4) On the weights of the subcriteriafinancial stability (119862
13 10) is the most important factor
under the decision choice on the capability term andinventory stability (119862
23 054) and production capability
(11986222 046) impact the greatest upon the productivity issue
while risk management (11986233 052) and on-time delivery
(11986232 048) hold critical weights under the reliability criterion
(see Table 5) For the weights of the two alternatives versusthe nine subcriteria respectively the Fuzzy AHP approachanalysis chooses Vendor B (119860
2 0724 versus119860
1 0276) as the
top priority for alternatives selection (see Tables 6 and 7)
5 Conclusions and Discussions
The selection of key component vendor alternatives involvesmultiple issues that can be systematically examined through
Mathematical Problems in Engineering 5
Table 4 The importance weights of the criteria
Criteria 1198621
1198622
1198623
119882119888
1198621
100 100 100 030 038 048 054 072 087 01198622
208 262 332 100 100 100 055 076 100 0551198623
115 139 184 100 132 180 100 100 100 045
Vendor A Vendor B
MS TA FS PP PC IS PQ TD RM
Selection of the best Wi-Fi IC vendor
Capability Productivity Reliability
Figure 2 Hierarchy of Wi-Fi component IC vendorsrsquo evaluation and selection problem
Table 5 The importance weights of the subcriteria
Subcriteria 11986211
11986212
11986213
119882119888
11986211
100 100 100 096 119 138 033 045 057 011986212
072 084 104 100 100 100 024 031 040 011986213
176 224 300 247 324 424 100 100 100 1Subcriteria 119862
2111986222
11986223
119882119888
11986221
100 100 100 030 040 051 022 028 037 011986222
195 249 331 100 100 100 029 039 047 04611986223
273 356 447 212 259 347 100 100 100 054Subcriteria 119862
3111986232
11986233
119882119888
11986231
100 100 100 020 025 031 025 032 040 011986232
318 400 500 100 100 100 044 057 074 04811986233
247 312 400 135 176 229 100 100 100 052
teamsrsquo analysis under a multicriteria decision process Tar-geting profit maximization a Wi-Fi IC component supplieris driven by a productrsquos bill-of-material (BOM) cost thatresults from the technological specificationsfeatures that arephased in during a new product design stage The insightsfrom this empirical case study identify some important issuesfor the evaluation measurement and analysis actions duringthe decision process for key component vendor selectionin technology-driven industries Through the perspectivesof synergistic effects and business ecosystems we offerthe following key results of our study for industries andacademia (i) The added value of the decision process onWi-Fi IC component vendorsrsquo selection encompasses technologyknow-how the main IC that makes up the main cost ofthe solution main board and the BOM cost performance(ii) The blueprint of the examination factors focuses on
Table 6 The weights of alternatives versus the subcriteria
11988211986211
1198601
1198602
119882119888
1198601
100 100 100 047 059 071 01198602
141 171 212 100 100 100 111988211986212
1198601
1198602
119882119888
1198601
100 100 100 036 049 067 01198602
149 203 276 100 100 100 111988211986213
1198601
1198602
119882119888
1198601
100 100 100 069 087 094 031198602
106 115 144 100 100 100 0711988211986221
1198601
1198602
119882119888
1198601
100 100 100 059 088 117 0441198602
085 113 170 100 100 100 05611988211986222
1198601
1198602
119882119888
1198601
100 100 100 057 076 104 0361198602
096 132 176 100 100 100 06411988211986223
1198601
1198602
119882119888
1198601
100 100 100 053 067 080 01198602
125 150 188 100 100 100 111988211986231
1198601
1198602
119882119888
1198601
100 100 100 043 058 077 0091198602
129 174 235 100 100 100 09111988211986232
1198601
1198602
119882119888
1198601
100 100 100 081 104 119 0521198602
084 096 124 100 100 100 04811988211986233
1198601
1198602
119882119888
1198601
100 100 100 059 079 096 0311198602
104 126 169 100 100 100 069
the evaluation issues of (a) competitiveness capability (b)productivity performance and (c) management reliability(iii) This study bridges gaps in previous research concerning
6 Mathematical Problems in Engineering
Table 7 Final score of each alternative
Alternative Score1198601
02761198602
0724
market sensitivity on market trends and customer require-ments (iv) The key characteristics to look at during the ven-dor selection process come from vendorsrsquo viewpoints and thesolution design firmrsquos examination of the impacts from threecriteria and nine subcriteria (v) The results herein indicatethat the strategic vendor evaluation analysis and report can beused as a reference by a firmrsquos operation management whenplanning a strategy for resource allocation
In an ICT technology-driven and customer-centric busi-ness ecosystem firms need to structure a value chain mech-anism through knowledge sharing network collaborationwith key suppliers and customers The scope and scale offuture research should integrate cross-functional cooperationamong teams to widely investigate the supply chain value ina global and dynamic context Given these issues we notethe following (1) Open innovation (OI) which involves agreater number of ideas knowledge areas and experiencescontributed by external partners is the key antecedent ofstrategic decisions made by firms (2) Knowledge manage-ment (KM) which drives firms by sharing and deployingknowledge to organizations for objective achievement is amultidisciplined theoretical approach suitable for industrialpractitioners in research and analysis Therefore in order tobuild up different research criteria that can be integrated withquantitativemeasurement analysis theories for future studieswe propose research objectives on customer value creationand supply chain value through the use of multipurposemodels
Conflict of Interests
The authors declare that there is no conflict of interestsregarding the publication of this paper
References
[1] AH I Lee ldquoA fuzzy supplier selectionmodelwith the consider-ation of benefits opportunities costs and risksrdquo Expert Systemswith Applications vol 36 no 2 pp 2879ndash2893 2009
[2] B Nepal L Monplaisir and O Famuyiwa ldquoMatching productarchitecture with supply chain designrdquo European Journal ofOperational Research vol 216 no 2 pp 312ndash325 2012
[3] M Pero N Abdelkafi A Sianesi and T Blecker ldquoA frameworkfor the alignment of new product development and supplychainsrdquo Supply Chain Management vol 15 no 2 pp 115ndash1282010
[4] B Chang C Chang and C Wu ldquoFuzzy DEMATEL methodfor developing supplier selection criteriardquo Expert Systems withApplications vol 38 no 3 pp 1850ndash1858 2011
[5] G Bruno E Esposito A Genovese andR Passaro ldquoAHP-basedapproaches for supplier evaluation problems and perspectivesrdquoJournal of Purchasing and Supply Management vol 18 no 3 pp159ndash172 2012
[6] E Elahi ldquoOutsourcing through competition what is the bestcompetition parameterrdquo International Journal of ProductionEconomics vol 144 no 1 pp 370ndash382 2013
[7] M Punniyamoorthy PMathiyalagan and P Parthiban ldquoA stra-tegic model using structural equation modeling and fuzzy logicin supplier selectionrdquo Expert Systems with Applications vol 38no 1 pp 458ndash474 2011
[8] A H I Lee H Kang and C Chang ldquoFuzzy multiple goal pro-gramming applied to TFT-LCD supplier selection by down-stream manufacturersrdquo Expert Systems with Applications vol36 no 3 pp 6318ndash6325 2009
[9] K Shaw R Shankar S S Yadav and L S Thakur ldquoSupplierselection using fuzzy AHP and fuzzy multi-objective linearprogramming for developing low carbon supply chainrdquo ExpertSystems with Applications vol 39 no 9 pp 8182ndash8192 2012
[10] P J M van Laarhoven and W Pedrycz ldquoA fuzzy extension ofSaatyrsquos priority theoryrdquo Fuzzy Sets and Systems vol 11 no 3 pp229ndash241 1983
[11] K P Anagnostopoulos M Gratziou and A P VavatsikosldquoUsing the fuzzy analytic hierarchy process for selecting waste-water facilities at prefectrure levelrdquo European Water pp 15ndash242007
[12] D Chang ldquoApplications of the extent analysis method on fuzzyAHPrdquo European Journal of Operational Research vol 95 no 3pp 649ndash655 1996
[13] I Chamodrakas D Batis and D Martakos ldquoSupplier selectionin electronic marketplaces using satisficing and fuzzy AHPrdquoExpert Systems with Applications vol 37 no 1 pp 490ndash4982010
[14] C A Bana e Costa and J-C Vansnick ldquoA critical analysis of theeigenvalue method used to derive priorities in AHPrdquo EuropeanJournal of Operational Research vol 187 no 3 pp 1422ndash14282008
[15] O Cakir ldquoOn the order of the preference intensities in fuzzyAHPrdquo Computers and Industrial Engineering vol 54 no 4 pp993ndash1005 2008
[16] LMikhailov ldquoDeriving priorities from fuzzy pairwise compari-son judgementsrdquo Fuzzy Sets and Systems vol 134 no 3 pp 365ndash385 2003
[17] O Kilincci and S A Onal ldquoFuzzy AHP approach for supplierselection in a washing machine companyrdquo Expert Systems withApplications vol 38 no 8 pp 9656ndash9664 2011
[18] C Ku C Chang and H Ho ldquoGlobal supplier selection usingfuzzy analytic hierarchy process and fuzzy goal programmingrdquoQuality and Quantity vol 44 no 4 pp 623ndash640 2010
[19] J Rezaei and R Ortt ldquoMulti-criteria supplier segmentationusing a fuzzy preference relations basedAHPrdquoEuropean Journalof Operational Research vol 225 no 1 pp 75ndash84 2013
[20] S Shim and B Lee ldquoSustainable competitive advantage of asystem goods innovator in a market with network effects andentry threatsrdquo Decision Support Systems vol 52 no 2 pp 308ndash317 2012
[21] J-L Chen ldquoThe synergistic effects of IT-enabled resources onorganizational capabilities and firm performancerdquo Informationand Management vol 49 no 3-4 pp 142ndash150 2012
[22] N Harmancioglu ldquoPortfolio of controls in outsourcing rela-tionships for global new product developmentrdquo IndustrialMarketing Management vol 38 no 4 pp 394ndash403 2009
[23] J Zhang and X Liang ldquoBusiness ecosystem strategies of mobilenetwork operators in the 3G era the case of China MobilerdquoTelecommunications Policy vol 35 no 2 pp 156ndash171 2011
Mathematical Problems in Engineering 7
[24] S J Wu and G L Ragatz ldquoEvaluating the total effect of earlysupplier involvement on project team effectiveness collabora-tion and interactionrdquo International Journal of Integrated SupplyManagement vol 5 no 3 pp 239ndash259 2010
[25] T L Esper A E Ellinger T P Stank D J Flint and M MoonldquoDemand and supply integration a conceptual framework ofvalue creation through knowledge managementrdquo Journal of theAcademy of Marketing Science vol 38 no 1 pp 5ndash18 2010
[26] P Hilletofth and D Eriksson ldquoCoordinating new productdevelopment with supply chain managementrdquo Industrial Man-agement and Data Systems vol 111 no 2 pp 264ndash281 2011
[27] J Roshandel S S Miri-Nargesi and L Hatami-ShirkouhildquoEvaluating and selecting the supplier in detergent productionindustry using hierarchical fuzzy TOPSISrdquo Applied Mathemat-ical Modelling vol 37 no 24 pp 10170ndash10181 2013
[28] A Zouggari and L Benyoucef ldquoSimulation based fuzzy TOPSISapproach for group multi-criteria supplier selection problemrdquoEngineering Applications of Artificial Intelligence vol 25 no 3pp 507ndash519 2012
[29] DWu D DWu Y Zhang and D L Olson ldquoSupply chain out-sourcing risk using an integrated stochastic-fuzzy optimizationapproachrdquo Information Sciences vol 235 pp 242ndash258 2013
[30] Y Kristianto P Helo J R Jiao and M Sandhu ldquoAdaptive fuzzyvendor managed inventory control for mitigating the Bull-whip effect in supply chainsrdquo European Journal of OperationalResearch vol 216 no 2 pp 346ndash355 2012
[31] LOsiro F R Lima-Junior andLC RCarpinetti ldquoA fuzzy logicapproach to supplier evaluation for developmentrdquo InternationalJournal of Production Economics vol 153 pp 95ndash112 2014
[32] Y Chen and R Chao ldquoSupplier selection using consistent fuzzypreference relationsrdquo Expert Systems with Applications vol 39no 3 pp 3233ndash3240 2012
[33] C-Y Shen and K-T Yu ldquoEnhancing the efficacy of supplierselection decision-making on the initial stage of new productdevelopment a hybrid fuzzy approach considering the strategicand operational factors simultaneouslyrdquo Expert Systems withApplications vol 36 no 8 pp 11271ndash11281 2009
[34] I Ruuska T Ahola M Martinsuo and T Westerholm ldquoSup-plier capabilities in large shipbuilding projectsrdquo InternationalJournal of Project Management vol 31 no 4 pp 542ndash553 2013
Submit your manuscripts athttpwwwhindawicom
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
MathematicsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Mathematical Problems in Engineering
Hindawi Publishing Corporationhttpwwwhindawicom
Differential EquationsInternational Journal of
Volume 2014
Applied MathematicsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Probability and StatisticsHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Mathematical PhysicsAdvances in
Complex AnalysisJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
OptimizationJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
CombinatoricsHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
International Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Operations ResearchAdvances in
Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Function Spaces
Abstract and Applied AnalysisHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
International Journal of Mathematics and Mathematical Sciences
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Algebra
Discrete Dynamics in Nature and Society
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Decision SciencesAdvances in
Discrete MathematicsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom
Volume 2014 Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Stochastic AnalysisInternational Journal of
Mathematical Problems in Engineering 5
Table 4 The importance weights of the criteria
Criteria 1198621
1198622
1198623
119882119888
1198621
100 100 100 030 038 048 054 072 087 01198622
208 262 332 100 100 100 055 076 100 0551198623
115 139 184 100 132 180 100 100 100 045
Vendor A Vendor B
MS TA FS PP PC IS PQ TD RM
Selection of the best Wi-Fi IC vendor
Capability Productivity Reliability
Figure 2 Hierarchy of Wi-Fi component IC vendorsrsquo evaluation and selection problem
Table 5 The importance weights of the subcriteria
Subcriteria 11986211
11986212
11986213
119882119888
11986211
100 100 100 096 119 138 033 045 057 011986212
072 084 104 100 100 100 024 031 040 011986213
176 224 300 247 324 424 100 100 100 1Subcriteria 119862
2111986222
11986223
119882119888
11986221
100 100 100 030 040 051 022 028 037 011986222
195 249 331 100 100 100 029 039 047 04611986223
273 356 447 212 259 347 100 100 100 054Subcriteria 119862
3111986232
11986233
119882119888
11986231
100 100 100 020 025 031 025 032 040 011986232
318 400 500 100 100 100 044 057 074 04811986233
247 312 400 135 176 229 100 100 100 052
teamsrsquo analysis under a multicriteria decision process Tar-geting profit maximization a Wi-Fi IC component supplieris driven by a productrsquos bill-of-material (BOM) cost thatresults from the technological specificationsfeatures that arephased in during a new product design stage The insightsfrom this empirical case study identify some important issuesfor the evaluation measurement and analysis actions duringthe decision process for key component vendor selectionin technology-driven industries Through the perspectivesof synergistic effects and business ecosystems we offerthe following key results of our study for industries andacademia (i) The added value of the decision process onWi-Fi IC component vendorsrsquo selection encompasses technologyknow-how the main IC that makes up the main cost ofthe solution main board and the BOM cost performance(ii) The blueprint of the examination factors focuses on
Table 6 The weights of alternatives versus the subcriteria
11988211986211
1198601
1198602
119882119888
1198601
100 100 100 047 059 071 01198602
141 171 212 100 100 100 111988211986212
1198601
1198602
119882119888
1198601
100 100 100 036 049 067 01198602
149 203 276 100 100 100 111988211986213
1198601
1198602
119882119888
1198601
100 100 100 069 087 094 031198602
106 115 144 100 100 100 0711988211986221
1198601
1198602
119882119888
1198601
100 100 100 059 088 117 0441198602
085 113 170 100 100 100 05611988211986222
1198601
1198602
119882119888
1198601
100 100 100 057 076 104 0361198602
096 132 176 100 100 100 06411988211986223
1198601
1198602
119882119888
1198601
100 100 100 053 067 080 01198602
125 150 188 100 100 100 111988211986231
1198601
1198602
119882119888
1198601
100 100 100 043 058 077 0091198602
129 174 235 100 100 100 09111988211986232
1198601
1198602
119882119888
1198601
100 100 100 081 104 119 0521198602
084 096 124 100 100 100 04811988211986233
1198601
1198602
119882119888
1198601
100 100 100 059 079 096 0311198602
104 126 169 100 100 100 069
the evaluation issues of (a) competitiveness capability (b)productivity performance and (c) management reliability(iii) This study bridges gaps in previous research concerning
6 Mathematical Problems in Engineering
Table 7 Final score of each alternative
Alternative Score1198601
02761198602
0724
market sensitivity on market trends and customer require-ments (iv) The key characteristics to look at during the ven-dor selection process come from vendorsrsquo viewpoints and thesolution design firmrsquos examination of the impacts from threecriteria and nine subcriteria (v) The results herein indicatethat the strategic vendor evaluation analysis and report can beused as a reference by a firmrsquos operation management whenplanning a strategy for resource allocation
In an ICT technology-driven and customer-centric busi-ness ecosystem firms need to structure a value chain mech-anism through knowledge sharing network collaborationwith key suppliers and customers The scope and scale offuture research should integrate cross-functional cooperationamong teams to widely investigate the supply chain value ina global and dynamic context Given these issues we notethe following (1) Open innovation (OI) which involves agreater number of ideas knowledge areas and experiencescontributed by external partners is the key antecedent ofstrategic decisions made by firms (2) Knowledge manage-ment (KM) which drives firms by sharing and deployingknowledge to organizations for objective achievement is amultidisciplined theoretical approach suitable for industrialpractitioners in research and analysis Therefore in order tobuild up different research criteria that can be integrated withquantitativemeasurement analysis theories for future studieswe propose research objectives on customer value creationand supply chain value through the use of multipurposemodels
Conflict of Interests
The authors declare that there is no conflict of interestsregarding the publication of this paper
References
[1] AH I Lee ldquoA fuzzy supplier selectionmodelwith the consider-ation of benefits opportunities costs and risksrdquo Expert Systemswith Applications vol 36 no 2 pp 2879ndash2893 2009
[2] B Nepal L Monplaisir and O Famuyiwa ldquoMatching productarchitecture with supply chain designrdquo European Journal ofOperational Research vol 216 no 2 pp 312ndash325 2012
[3] M Pero N Abdelkafi A Sianesi and T Blecker ldquoA frameworkfor the alignment of new product development and supplychainsrdquo Supply Chain Management vol 15 no 2 pp 115ndash1282010
[4] B Chang C Chang and C Wu ldquoFuzzy DEMATEL methodfor developing supplier selection criteriardquo Expert Systems withApplications vol 38 no 3 pp 1850ndash1858 2011
[5] G Bruno E Esposito A Genovese andR Passaro ldquoAHP-basedapproaches for supplier evaluation problems and perspectivesrdquoJournal of Purchasing and Supply Management vol 18 no 3 pp159ndash172 2012
[6] E Elahi ldquoOutsourcing through competition what is the bestcompetition parameterrdquo International Journal of ProductionEconomics vol 144 no 1 pp 370ndash382 2013
[7] M Punniyamoorthy PMathiyalagan and P Parthiban ldquoA stra-tegic model using structural equation modeling and fuzzy logicin supplier selectionrdquo Expert Systems with Applications vol 38no 1 pp 458ndash474 2011
[8] A H I Lee H Kang and C Chang ldquoFuzzy multiple goal pro-gramming applied to TFT-LCD supplier selection by down-stream manufacturersrdquo Expert Systems with Applications vol36 no 3 pp 6318ndash6325 2009
[9] K Shaw R Shankar S S Yadav and L S Thakur ldquoSupplierselection using fuzzy AHP and fuzzy multi-objective linearprogramming for developing low carbon supply chainrdquo ExpertSystems with Applications vol 39 no 9 pp 8182ndash8192 2012
[10] P J M van Laarhoven and W Pedrycz ldquoA fuzzy extension ofSaatyrsquos priority theoryrdquo Fuzzy Sets and Systems vol 11 no 3 pp229ndash241 1983
[11] K P Anagnostopoulos M Gratziou and A P VavatsikosldquoUsing the fuzzy analytic hierarchy process for selecting waste-water facilities at prefectrure levelrdquo European Water pp 15ndash242007
[12] D Chang ldquoApplications of the extent analysis method on fuzzyAHPrdquo European Journal of Operational Research vol 95 no 3pp 649ndash655 1996
[13] I Chamodrakas D Batis and D Martakos ldquoSupplier selectionin electronic marketplaces using satisficing and fuzzy AHPrdquoExpert Systems with Applications vol 37 no 1 pp 490ndash4982010
[14] C A Bana e Costa and J-C Vansnick ldquoA critical analysis of theeigenvalue method used to derive priorities in AHPrdquo EuropeanJournal of Operational Research vol 187 no 3 pp 1422ndash14282008
[15] O Cakir ldquoOn the order of the preference intensities in fuzzyAHPrdquo Computers and Industrial Engineering vol 54 no 4 pp993ndash1005 2008
[16] LMikhailov ldquoDeriving priorities from fuzzy pairwise compari-son judgementsrdquo Fuzzy Sets and Systems vol 134 no 3 pp 365ndash385 2003
[17] O Kilincci and S A Onal ldquoFuzzy AHP approach for supplierselection in a washing machine companyrdquo Expert Systems withApplications vol 38 no 8 pp 9656ndash9664 2011
[18] C Ku C Chang and H Ho ldquoGlobal supplier selection usingfuzzy analytic hierarchy process and fuzzy goal programmingrdquoQuality and Quantity vol 44 no 4 pp 623ndash640 2010
[19] J Rezaei and R Ortt ldquoMulti-criteria supplier segmentationusing a fuzzy preference relations basedAHPrdquoEuropean Journalof Operational Research vol 225 no 1 pp 75ndash84 2013
[20] S Shim and B Lee ldquoSustainable competitive advantage of asystem goods innovator in a market with network effects andentry threatsrdquo Decision Support Systems vol 52 no 2 pp 308ndash317 2012
[21] J-L Chen ldquoThe synergistic effects of IT-enabled resources onorganizational capabilities and firm performancerdquo Informationand Management vol 49 no 3-4 pp 142ndash150 2012
[22] N Harmancioglu ldquoPortfolio of controls in outsourcing rela-tionships for global new product developmentrdquo IndustrialMarketing Management vol 38 no 4 pp 394ndash403 2009
[23] J Zhang and X Liang ldquoBusiness ecosystem strategies of mobilenetwork operators in the 3G era the case of China MobilerdquoTelecommunications Policy vol 35 no 2 pp 156ndash171 2011
Mathematical Problems in Engineering 7
[24] S J Wu and G L Ragatz ldquoEvaluating the total effect of earlysupplier involvement on project team effectiveness collabora-tion and interactionrdquo International Journal of Integrated SupplyManagement vol 5 no 3 pp 239ndash259 2010
[25] T L Esper A E Ellinger T P Stank D J Flint and M MoonldquoDemand and supply integration a conceptual framework ofvalue creation through knowledge managementrdquo Journal of theAcademy of Marketing Science vol 38 no 1 pp 5ndash18 2010
[26] P Hilletofth and D Eriksson ldquoCoordinating new productdevelopment with supply chain managementrdquo Industrial Man-agement and Data Systems vol 111 no 2 pp 264ndash281 2011
[27] J Roshandel S S Miri-Nargesi and L Hatami-ShirkouhildquoEvaluating and selecting the supplier in detergent productionindustry using hierarchical fuzzy TOPSISrdquo Applied Mathemat-ical Modelling vol 37 no 24 pp 10170ndash10181 2013
[28] A Zouggari and L Benyoucef ldquoSimulation based fuzzy TOPSISapproach for group multi-criteria supplier selection problemrdquoEngineering Applications of Artificial Intelligence vol 25 no 3pp 507ndash519 2012
[29] DWu D DWu Y Zhang and D L Olson ldquoSupply chain out-sourcing risk using an integrated stochastic-fuzzy optimizationapproachrdquo Information Sciences vol 235 pp 242ndash258 2013
[30] Y Kristianto P Helo J R Jiao and M Sandhu ldquoAdaptive fuzzyvendor managed inventory control for mitigating the Bull-whip effect in supply chainsrdquo European Journal of OperationalResearch vol 216 no 2 pp 346ndash355 2012
[31] LOsiro F R Lima-Junior andLC RCarpinetti ldquoA fuzzy logicapproach to supplier evaluation for developmentrdquo InternationalJournal of Production Economics vol 153 pp 95ndash112 2014
[32] Y Chen and R Chao ldquoSupplier selection using consistent fuzzypreference relationsrdquo Expert Systems with Applications vol 39no 3 pp 3233ndash3240 2012
[33] C-Y Shen and K-T Yu ldquoEnhancing the efficacy of supplierselection decision-making on the initial stage of new productdevelopment a hybrid fuzzy approach considering the strategicand operational factors simultaneouslyrdquo Expert Systems withApplications vol 36 no 8 pp 11271ndash11281 2009
[34] I Ruuska T Ahola M Martinsuo and T Westerholm ldquoSup-plier capabilities in large shipbuilding projectsrdquo InternationalJournal of Project Management vol 31 no 4 pp 542ndash553 2013
Submit your manuscripts athttpwwwhindawicom
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
MathematicsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Mathematical Problems in Engineering
Hindawi Publishing Corporationhttpwwwhindawicom
Differential EquationsInternational Journal of
Volume 2014
Applied MathematicsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Probability and StatisticsHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Mathematical PhysicsAdvances in
Complex AnalysisJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
OptimizationJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
CombinatoricsHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
International Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Operations ResearchAdvances in
Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Function Spaces
Abstract and Applied AnalysisHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
International Journal of Mathematics and Mathematical Sciences
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Algebra
Discrete Dynamics in Nature and Society
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Decision SciencesAdvances in
Discrete MathematicsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom
Volume 2014 Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Stochastic AnalysisInternational Journal of
6 Mathematical Problems in Engineering
Table 7 Final score of each alternative
Alternative Score1198601
02761198602
0724
market sensitivity on market trends and customer require-ments (iv) The key characteristics to look at during the ven-dor selection process come from vendorsrsquo viewpoints and thesolution design firmrsquos examination of the impacts from threecriteria and nine subcriteria (v) The results herein indicatethat the strategic vendor evaluation analysis and report can beused as a reference by a firmrsquos operation management whenplanning a strategy for resource allocation
In an ICT technology-driven and customer-centric busi-ness ecosystem firms need to structure a value chain mech-anism through knowledge sharing network collaborationwith key suppliers and customers The scope and scale offuture research should integrate cross-functional cooperationamong teams to widely investigate the supply chain value ina global and dynamic context Given these issues we notethe following (1) Open innovation (OI) which involves agreater number of ideas knowledge areas and experiencescontributed by external partners is the key antecedent ofstrategic decisions made by firms (2) Knowledge manage-ment (KM) which drives firms by sharing and deployingknowledge to organizations for objective achievement is amultidisciplined theoretical approach suitable for industrialpractitioners in research and analysis Therefore in order tobuild up different research criteria that can be integrated withquantitativemeasurement analysis theories for future studieswe propose research objectives on customer value creationand supply chain value through the use of multipurposemodels
Conflict of Interests
The authors declare that there is no conflict of interestsregarding the publication of this paper
References
[1] AH I Lee ldquoA fuzzy supplier selectionmodelwith the consider-ation of benefits opportunities costs and risksrdquo Expert Systemswith Applications vol 36 no 2 pp 2879ndash2893 2009
[2] B Nepal L Monplaisir and O Famuyiwa ldquoMatching productarchitecture with supply chain designrdquo European Journal ofOperational Research vol 216 no 2 pp 312ndash325 2012
[3] M Pero N Abdelkafi A Sianesi and T Blecker ldquoA frameworkfor the alignment of new product development and supplychainsrdquo Supply Chain Management vol 15 no 2 pp 115ndash1282010
[4] B Chang C Chang and C Wu ldquoFuzzy DEMATEL methodfor developing supplier selection criteriardquo Expert Systems withApplications vol 38 no 3 pp 1850ndash1858 2011
[5] G Bruno E Esposito A Genovese andR Passaro ldquoAHP-basedapproaches for supplier evaluation problems and perspectivesrdquoJournal of Purchasing and Supply Management vol 18 no 3 pp159ndash172 2012
[6] E Elahi ldquoOutsourcing through competition what is the bestcompetition parameterrdquo International Journal of ProductionEconomics vol 144 no 1 pp 370ndash382 2013
[7] M Punniyamoorthy PMathiyalagan and P Parthiban ldquoA stra-tegic model using structural equation modeling and fuzzy logicin supplier selectionrdquo Expert Systems with Applications vol 38no 1 pp 458ndash474 2011
[8] A H I Lee H Kang and C Chang ldquoFuzzy multiple goal pro-gramming applied to TFT-LCD supplier selection by down-stream manufacturersrdquo Expert Systems with Applications vol36 no 3 pp 6318ndash6325 2009
[9] K Shaw R Shankar S S Yadav and L S Thakur ldquoSupplierselection using fuzzy AHP and fuzzy multi-objective linearprogramming for developing low carbon supply chainrdquo ExpertSystems with Applications vol 39 no 9 pp 8182ndash8192 2012
[10] P J M van Laarhoven and W Pedrycz ldquoA fuzzy extension ofSaatyrsquos priority theoryrdquo Fuzzy Sets and Systems vol 11 no 3 pp229ndash241 1983
[11] K P Anagnostopoulos M Gratziou and A P VavatsikosldquoUsing the fuzzy analytic hierarchy process for selecting waste-water facilities at prefectrure levelrdquo European Water pp 15ndash242007
[12] D Chang ldquoApplications of the extent analysis method on fuzzyAHPrdquo European Journal of Operational Research vol 95 no 3pp 649ndash655 1996
[13] I Chamodrakas D Batis and D Martakos ldquoSupplier selectionin electronic marketplaces using satisficing and fuzzy AHPrdquoExpert Systems with Applications vol 37 no 1 pp 490ndash4982010
[14] C A Bana e Costa and J-C Vansnick ldquoA critical analysis of theeigenvalue method used to derive priorities in AHPrdquo EuropeanJournal of Operational Research vol 187 no 3 pp 1422ndash14282008
[15] O Cakir ldquoOn the order of the preference intensities in fuzzyAHPrdquo Computers and Industrial Engineering vol 54 no 4 pp993ndash1005 2008
[16] LMikhailov ldquoDeriving priorities from fuzzy pairwise compari-son judgementsrdquo Fuzzy Sets and Systems vol 134 no 3 pp 365ndash385 2003
[17] O Kilincci and S A Onal ldquoFuzzy AHP approach for supplierselection in a washing machine companyrdquo Expert Systems withApplications vol 38 no 8 pp 9656ndash9664 2011
[18] C Ku C Chang and H Ho ldquoGlobal supplier selection usingfuzzy analytic hierarchy process and fuzzy goal programmingrdquoQuality and Quantity vol 44 no 4 pp 623ndash640 2010
[19] J Rezaei and R Ortt ldquoMulti-criteria supplier segmentationusing a fuzzy preference relations basedAHPrdquoEuropean Journalof Operational Research vol 225 no 1 pp 75ndash84 2013
[20] S Shim and B Lee ldquoSustainable competitive advantage of asystem goods innovator in a market with network effects andentry threatsrdquo Decision Support Systems vol 52 no 2 pp 308ndash317 2012
[21] J-L Chen ldquoThe synergistic effects of IT-enabled resources onorganizational capabilities and firm performancerdquo Informationand Management vol 49 no 3-4 pp 142ndash150 2012
[22] N Harmancioglu ldquoPortfolio of controls in outsourcing rela-tionships for global new product developmentrdquo IndustrialMarketing Management vol 38 no 4 pp 394ndash403 2009
[23] J Zhang and X Liang ldquoBusiness ecosystem strategies of mobilenetwork operators in the 3G era the case of China MobilerdquoTelecommunications Policy vol 35 no 2 pp 156ndash171 2011
Mathematical Problems in Engineering 7
[24] S J Wu and G L Ragatz ldquoEvaluating the total effect of earlysupplier involvement on project team effectiveness collabora-tion and interactionrdquo International Journal of Integrated SupplyManagement vol 5 no 3 pp 239ndash259 2010
[25] T L Esper A E Ellinger T P Stank D J Flint and M MoonldquoDemand and supply integration a conceptual framework ofvalue creation through knowledge managementrdquo Journal of theAcademy of Marketing Science vol 38 no 1 pp 5ndash18 2010
[26] P Hilletofth and D Eriksson ldquoCoordinating new productdevelopment with supply chain managementrdquo Industrial Man-agement and Data Systems vol 111 no 2 pp 264ndash281 2011
[27] J Roshandel S S Miri-Nargesi and L Hatami-ShirkouhildquoEvaluating and selecting the supplier in detergent productionindustry using hierarchical fuzzy TOPSISrdquo Applied Mathemat-ical Modelling vol 37 no 24 pp 10170ndash10181 2013
[28] A Zouggari and L Benyoucef ldquoSimulation based fuzzy TOPSISapproach for group multi-criteria supplier selection problemrdquoEngineering Applications of Artificial Intelligence vol 25 no 3pp 507ndash519 2012
[29] DWu D DWu Y Zhang and D L Olson ldquoSupply chain out-sourcing risk using an integrated stochastic-fuzzy optimizationapproachrdquo Information Sciences vol 235 pp 242ndash258 2013
[30] Y Kristianto P Helo J R Jiao and M Sandhu ldquoAdaptive fuzzyvendor managed inventory control for mitigating the Bull-whip effect in supply chainsrdquo European Journal of OperationalResearch vol 216 no 2 pp 346ndash355 2012
[31] LOsiro F R Lima-Junior andLC RCarpinetti ldquoA fuzzy logicapproach to supplier evaluation for developmentrdquo InternationalJournal of Production Economics vol 153 pp 95ndash112 2014
[32] Y Chen and R Chao ldquoSupplier selection using consistent fuzzypreference relationsrdquo Expert Systems with Applications vol 39no 3 pp 3233ndash3240 2012
[33] C-Y Shen and K-T Yu ldquoEnhancing the efficacy of supplierselection decision-making on the initial stage of new productdevelopment a hybrid fuzzy approach considering the strategicand operational factors simultaneouslyrdquo Expert Systems withApplications vol 36 no 8 pp 11271ndash11281 2009
[34] I Ruuska T Ahola M Martinsuo and T Westerholm ldquoSup-plier capabilities in large shipbuilding projectsrdquo InternationalJournal of Project Management vol 31 no 4 pp 542ndash553 2013
Submit your manuscripts athttpwwwhindawicom
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
MathematicsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Mathematical Problems in Engineering
Hindawi Publishing Corporationhttpwwwhindawicom
Differential EquationsInternational Journal of
Volume 2014
Applied MathematicsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Probability and StatisticsHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Mathematical PhysicsAdvances in
Complex AnalysisJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
OptimizationJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
CombinatoricsHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
International Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Operations ResearchAdvances in
Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Function Spaces
Abstract and Applied AnalysisHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
International Journal of Mathematics and Mathematical Sciences
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Algebra
Discrete Dynamics in Nature and Society
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Decision SciencesAdvances in
Discrete MathematicsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom
Volume 2014 Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Stochastic AnalysisInternational Journal of
Mathematical Problems in Engineering 7
[24] S J Wu and G L Ragatz ldquoEvaluating the total effect of earlysupplier involvement on project team effectiveness collabora-tion and interactionrdquo International Journal of Integrated SupplyManagement vol 5 no 3 pp 239ndash259 2010
[25] T L Esper A E Ellinger T P Stank D J Flint and M MoonldquoDemand and supply integration a conceptual framework ofvalue creation through knowledge managementrdquo Journal of theAcademy of Marketing Science vol 38 no 1 pp 5ndash18 2010
[26] P Hilletofth and D Eriksson ldquoCoordinating new productdevelopment with supply chain managementrdquo Industrial Man-agement and Data Systems vol 111 no 2 pp 264ndash281 2011
[27] J Roshandel S S Miri-Nargesi and L Hatami-ShirkouhildquoEvaluating and selecting the supplier in detergent productionindustry using hierarchical fuzzy TOPSISrdquo Applied Mathemat-ical Modelling vol 37 no 24 pp 10170ndash10181 2013
[28] A Zouggari and L Benyoucef ldquoSimulation based fuzzy TOPSISapproach for group multi-criteria supplier selection problemrdquoEngineering Applications of Artificial Intelligence vol 25 no 3pp 507ndash519 2012
[29] DWu D DWu Y Zhang and D L Olson ldquoSupply chain out-sourcing risk using an integrated stochastic-fuzzy optimizationapproachrdquo Information Sciences vol 235 pp 242ndash258 2013
[30] Y Kristianto P Helo J R Jiao and M Sandhu ldquoAdaptive fuzzyvendor managed inventory control for mitigating the Bull-whip effect in supply chainsrdquo European Journal of OperationalResearch vol 216 no 2 pp 346ndash355 2012
[31] LOsiro F R Lima-Junior andLC RCarpinetti ldquoA fuzzy logicapproach to supplier evaluation for developmentrdquo InternationalJournal of Production Economics vol 153 pp 95ndash112 2014
[32] Y Chen and R Chao ldquoSupplier selection using consistent fuzzypreference relationsrdquo Expert Systems with Applications vol 39no 3 pp 3233ndash3240 2012
[33] C-Y Shen and K-T Yu ldquoEnhancing the efficacy of supplierselection decision-making on the initial stage of new productdevelopment a hybrid fuzzy approach considering the strategicand operational factors simultaneouslyrdquo Expert Systems withApplications vol 36 no 8 pp 11271ndash11281 2009
[34] I Ruuska T Ahola M Martinsuo and T Westerholm ldquoSup-plier capabilities in large shipbuilding projectsrdquo InternationalJournal of Project Management vol 31 no 4 pp 542ndash553 2013
Submit your manuscripts athttpwwwhindawicom
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
MathematicsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Mathematical Problems in Engineering
Hindawi Publishing Corporationhttpwwwhindawicom
Differential EquationsInternational Journal of
Volume 2014
Applied MathematicsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Probability and StatisticsHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Mathematical PhysicsAdvances in
Complex AnalysisJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
OptimizationJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
CombinatoricsHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
International Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Operations ResearchAdvances in
Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Function Spaces
Abstract and Applied AnalysisHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
International Journal of Mathematics and Mathematical Sciences
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Algebra
Discrete Dynamics in Nature and Society
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Decision SciencesAdvances in
Discrete MathematicsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom
Volume 2014 Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Stochastic AnalysisInternational Journal of
Submit your manuscripts athttpwwwhindawicom
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
MathematicsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Mathematical Problems in Engineering
Hindawi Publishing Corporationhttpwwwhindawicom
Differential EquationsInternational Journal of
Volume 2014
Applied MathematicsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Probability and StatisticsHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Mathematical PhysicsAdvances in
Complex AnalysisJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
OptimizationJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
CombinatoricsHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
International Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Operations ResearchAdvances in
Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Function Spaces
Abstract and Applied AnalysisHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
International Journal of Mathematics and Mathematical Sciences
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Algebra
Discrete Dynamics in Nature and Society
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Decision SciencesAdvances in
Discrete MathematicsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom
Volume 2014 Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Stochastic AnalysisInternational Journal of