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Transcript of Ahp
SUPPLIER SELECTION USING ANALYTIC HIERARCHY PROCESS
QUALITY SYSTEM DESIGN PROJECT
Submitted By
HARIHARAN.S -- 2009286005
in partial fulfillment for the award of the degree of
MASTER OF ENGINEERING
in
QUALITY ENGINEERING & MANAGEMENT
DEPARTMENT OF INDUSTRIAL ENGINEERING
COLLEGE OF ENGINEERING, GUINDY
ANNA UNIVERSITY
CHENNAI-600025
MAY-2011
1
BONAFIDE CERTIFICATE
Certified that this project report (QUALITY SYSTEM DESIGN PROJECT) titled
“SUPPLIER SELECTION USING ANALYTIC HIERARCHY PROCESS” is the bonafide
work of HARIHARAN.S (2009286005) who carried out the project work under my
supervision. Certified further that to the best of my knowledge. The work reported here in
does not form part of any other thesis or dissertation on the basis of which a degree or award
was conferred on an earlier occasion for any other candidate.
Dr.P.SHAHABUDEEN Dr.M.RAJMOHAN
Head of Department, Supervisor,
Professor, Assistant professor,
Department of Industrial Engineering, Department of Industrial Engineering,
College of Engineering, College of Engineering,
Guindy, Guindy,
Anna University, Anna University,
Chennai-600025. Chennai-600025.
2
ACKNOWLEDGEMENT
I am extremely thankful to my project guide Dr.M.Rajmohan, Department of
Industrial Engineering for imitating keen interest and giving valuable guidance at every stage
of this project.
It is my great pleasure to express my sincere gratitude and thanks to my head of the
department Dr. P.Shahabudeen, for his valuable guidance and help.
I wish to express my sincere thanks to the company guide Mr.C.G.Visvanathan who
is my external guide for his kind support and guidance to complete my project.
I am also thankful to all the faculty members of the Department of Industrial
Engineering for their kind and valuable cooperation during the course of the project.
I would also like to thank my parents, friends and well wishers who encourage me to
complete this project successfully.
Date: Signature of the Candidate
(Hariharan.S)
3
ABSTRACT
Supplier selection is one of the most critical activities of purchasing management in
supply chain. Supplier selection is a complex problem involving qualitative and quantitative
multi-criteria.
In this work, an AHP-based supplier selection model is formulated and then applied
to a real case study for a steel manufacturing company. The use of the proposed model
indicates that it can be applied to improve and assist decision making to resolve the supplier
selection problem in choosing the optimal supplier combination.
The work represents the systematic identification of the important criteria for supplier
selection process. In addition, the results exhibit the application of development of a multi-
criteria decision model for evaluation and selection of suppliers with proposed AHP model,
which by scoring the performance of suppliers is able to reduce the time taken to select a
vendor
4
Table of Contents
Chapter No Title Page No
1 Introduction 1
1.1 Supply chain Management 2
1.1.1 Evolving Concept SCM 2
1.1.2 What is SCM 3
1.1.3 SCM objective 3
1.2 Supplier Selection 4
1.2.1 Need for Supplier Selection 6
1.2.2 Supplier Selection Criteria 7
2 MCDM Methods 8
2.1 Various MCDM Methods 8
2.2 Weighted Sum model 9
2.3 Weighted Product model 9
2.4 Multi Attribute Global Inference of Quality 10
3 Analytic Hierarchy Process 12
3.1 AHP introduction 12
3.2 Model development 14
3.3 Advantage of AHP 15
4 Model Development 16
4.1 Company Details 16
4.2 Define criteria for supplier selection 17
4.3 Define sub criteria and sub sub-criteria for supplier selection 17
4.4 Structure the hierarchical model 18
4.5 Prioritize the order of criteria or sub criteria 25
4.6 Measure supplier performance 28
4.7 Identify supplier priority and selection 30
5
Chapter No Title Page No
5 Conclusion 31
5.1 Conclusion 31
5.2 Inference Drawn 32
5.3 Future Scope 34
6 Reference 35
Annexure 36
List of Figure
Figure No Title Page No
3.1 AHP Model 15
4.1 AHP Supplier selection model 20
4.2 AHP Supplier selection model with individual weight 24
5.1 Main Criteria Ranking 32
5.2 Sub Criteria Ranking 32
5.3 Supplier Ranking 33
List of Tables
Table No Title Page No
4.1 Level of relative important 18
4.2 Pair wise comparison matrix 19
4.3 Pair wise comparison matrix with relative priority 21
4.4 Composite priority weight of sub criteria 23
4.5 Ranking of sub criteria 25
4.6 Ranking of main criteria 26
4.7 Criteria relative priority with respect to supplier 27
4.8 Priority weights of each alternative 28
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CHAPTER 1
INTRODUCTION
Introduction
In today’s world of globalization many apparel retailers are building strong supply
chains to gain advantage over their competitors by offering the best value to their customers.
The supply-chain management (SCM) has become very critical to manage risk, dynamism,
and complexities of global sourcing. A totally integrated supply chain is required for the
company to get gain the maximum benefits.
One major aspect of the SCM is to select the right sources of supply in the global
business environment that can support corporate’s strategy. Contrary to the conventional
adversarial relationships, effective SCM in the new competition suggests seeking close
relationships in the long term with less number of partners.
Considering the rapidly changing market conditions and customer seeking the best
value, long-term relationships with the vendors became very critical in the apparel industry.
Therefore the apparel retailers are looking for the vendors who can provide the best cost in
the fastest way. Such a relationship is regarded as partnership since it includes activities such
as information sharing, joint product design, or sharing storage spaces.
The purpose of this paper is to emphasize the importance the vendor-selection
problem and its relation to the supply-chain strategy. It presents a model, based on the
analytical hierarchy process (AHP), that an apparel company can use to select its suppliers,
and create a strategy for supplier relationship management (SRM). The framework of the
performance measurement is based on quantitative and qualitative measurements.
7
1.1 Supply Chain:
A supply chain is a network of facilities and distribution options that performs the
functions of procurement of materials, transformation of these materials into intermediate
and finished products, and the distribution of these finished products to customers. Supply
chains exist in both service and manufacturing organizations, although the complexity of the
chain may vary greatly from industry to industry and firm to firm.
Traditionally, marketing, distribution, planning, manufacturing, and the purchasing
organizations along the supply chain operated independently. These organizations have their
own objectives and these are often conflicting. Marketing's objective of high customer
service and maximum sales conflict with manufacturing and distribution goals. Many
manufacturing operations are designed to maximize throughput and lower costs with little
consideration for the impact on inventory levels and distribution capabilities. Purchasing
contracts are often negotiated with very little information beyond historical buying patterns.
The result of these factors is that there is not a single, integrated plan for the organization---
there were as many plans as businesses. Clearly, there is a need for a mechanism through
which these different functions can be integrated together. Supply chain management is a
strategy through which such integration can be achieved.
1.1.1 An Evolving Concept:
Supply Chain Management (SCM) has emerged as one of the principal areas on
which leading edge companies are focusing to increase market share, profitability,
competitive advantage and shareholder value. While the term "Supply Chain Management" is
widely used, there is not general agreement as to the definition and scope of the SCM
concept. In fact, during the last several decades, the term itself has evolved from
"Distribution" to "Logistics" to "Supply Chain Management."
8
1.1.2 What is SCM?
Definitions from well-respected references have varied during the past decade. For
example, Supply Chain Yearbook 2000 described SCM as, "A chain of processes that
facilitates business activities between trading partners, from the purchase of raw goods and
materials for manufacturing to delivery of a finished product to an end user."
APICS-The Performance Advantage, offered this definition in January 1999: "The
global network used to deliver products and services from raw materials to end customers
through an engineered flow of information, physical distribution and cash."
This is a little change from the 1997 definition, Logistics Management offered,
describing SCM as, "The delivery of enhanced customer and economic value through
synchronized management of the flow of physical goods and associated information from
sourcing to consumption."
The definition evolution continues as European Logistics Association, in 1995
suggested SCM was, "The organization, planning, control and execution of the goods flow
from development and purchasing through production and distribution to the final customer
in order to satisfy the requirements of the market at minimum cost and minimum capital use.
1.1.3 Supply Chain Objective:
The objective of the supply chain is to support the flow of goods and materials from
the original supplier through multiple production and logistics operations to the ultimate
consumer. Supply chain management is the planning and control of this flow to speed time to
market, reduce inventory levels, lower overall costs, and, ultimately, enhance customer
service and satisfaction
9
The time has come when companies can no longer afford to look at their operations in
a vacuum. What they now need is the ability to collect comprehensive, accurate, and timely
information over the entire supply chain. By analyzing this information, they can better
understand how changing conditions affect their businesses. Making informed business
decisions this way helps organizations accomplish their business goals while also helping
them use information for competitive advantage.
1.2 Supplier Selection:
Supplier selection and evaluation have become one of the major topics in production
and operations management literature, especially in advanced manufacturing technologies
and environment (Motwani et al., 1999). The main objective of supplier selection process is
to reduce purchase risk, maximize overall value to the purchaser, and develop closeness and
long-term relationships between buyers and suppliers, which is effective in helping the
company to achieve “Just-In-Time” (JIT) production (Li et al., 1997). Additionally, with the
increase in use of Total Quality Management (TQM) and Just-In-Time (JIT) concepts by a
wide range of firms, the supplier selection question has become extremely important
(Petroni, 2000). Choosing the right method for supplier selection effectively leads to a
reduction in purchase risk and increases the number of JIT suppliers and TQM production.
Selecting the suitable supplier is always a difficult task for buyers. Suppliers have
varied strengths and weaknesses, which require careful assessment by the purchasers before
ranking, can be given to them.
The vendor selection process would be simple if only one criterion was used in the
decision making process. However in many situations, purchasers have to take account of a
range of criteria in making their decisions.
10
If several criteria are used then it is necessary to determine how far each criterion
influences the decision making process, whether all are to be equally weighted or whether the
influence varies accordingly to the type of criteria.
The model development for steel manufacturing company for selection of vendors
has to be done not only to ensure benefits to the purchaser customers but also to order raw
materials on account of the following reasons:
(1) Huge variety of finished products, and thus great need for raw materials. (2) The large
number of projects in process.
(3) The huge fluctuations in price for raw materials such as: mild steel sheets, stainless steel
and UB steel.
(4) The large number of suppliers providing varieties in qualitative and quantitative criteria.
Supplier selection problem is a group Multiple Criteria Decision-Making (MCDM)
out of which quantities criteria has been considered for supplier selection in the previous and
existing decision models so far. In Multiple Criteria Decision-Making (MCDM), a problem is
affected by several conflicting factors in supplying selection, for which a purchasing
manager must analyze the trade off among the several criteria. MCDM techniques support
the decision-makers (DMs) in evaluating a set of alternatives. Depending upon the
purchasing situations, criteria have varying importance and there is a need to weigh them.
For Multiple Criteria Decision-Making (MCDM) problem of steel manufacturing
company a unique and suitable method is needed to facilitate the supplier selection and
consequently provide the company with a proper and economical system for ordering raw
materials.
The analytic hierarchy process (AHP) has found widespread application in decision
making problems, involving multiple criteria in systems of many levels. This method has the
ability to structure complex, multi-person, multi attribute, and multi-period problem
hierarchically.
11
Considering the existing problems in the company initiating from incorrect supplier
selection, owing to the human mistakes in judging the raw materials, or paying too much
attention to one factor only, such as price, cost and other similar and unexpected problems,
the AHP model is highly recommended to handle the supplier selection.
1.2.1 Need for supplier selection:
Global competitive environment continues to force many companies to make strategic
changes in managing their business. Numerous manufacturers have been downsizing,
concentrating on their core competencies, moving away from vertical integration, and
outsourcing more extensively (Goffin, Szwejczewski & New, 2007; Leenders, Nollet, &
Ellram, 2004). According to Leenders et al. (2004), in this process, the need to gain a
competitive edge on the supply side has increased substantially. Particularly for companies
which spend a high percentage of their sales revenue on parts and material supplies, and
whose material costs represent a larger portion of total costs savings from supplies are of
particular importance.
Krajeweski (2006) reported for instance, that the percentage of sales revenues spent
on materials varies from more than 80 percent in the petroleum refining industry to 25
percent in the pharmaceutical industry. Most firms have spent 45 to 65 percent of sales
revenues on materials. Moreover the emphasis on quality and timely delivery in today's
globally competitive marketplace adds a new level of complexity to outsourcing and supplier
selection decisions.
Many companies have attempted to streamline the number of suppliers from which
they purchase. Goffin and his colleagues (2007) found that in a variety of industries in the
United Kingdom between 1990 and 2006, the number of suppliers decreased as much as 36
percent. Collectively, these developments make the supplier selection decisions more critical.
12
Weber and his colleagues argue that given the complexity and economic importance
of vendor selection it is somewhat surprising how little attention has been paid in the
literature to the application or quantitative methods to vendor selection. Such techniques
would enable purchasers to select the vendors who best satisfy the requirements necessary to
implement management strategy (Weber, Current and Bestow, 2005, p. 16). A survey by
those authors indicated that companies show a growing interest in multiple criteria methods
when selecting suppliers (Weber, et al., 2005).
1.2.2 Supplier selection criteria:
One major aspect of the purchasing function is supplier selection criteria. The
analysis of criteria for selection and measuring the performance of suppliers has been the
focus of attention for many scientists and purchasing practitioners since 1960's. In the mid
1960's, researchers were developing performance criteria upon which potential suppliers
could be evaluated. Dickson (1966) firstly performed an extensive study to determine,
identify and analyze what criteria were used in the selection of a firm as a supplier. Dickson
asked the respondents to assess the importance of each criterion on a five point scale of:
extreme, considerable, average, slight, and of no importance.
13
CHAPTER 2
MCDM Methods
Multi-Criteria Decision Analysis (MCDA) or Multi-Criteria Decision
Making (MCDM)
MCDM is a discipline aimed at supporting decision makers faced with making
numerous and sometimes conflicting evaluations. MCDA aims at highlighting these conflicts
and deriving a way to come to a compromise in a transparent process.
2.1 Various MCDM Methods:
There are many MCDA / MCDM methods in use today. However, often different
methods may yield different results for exactly the same problem. In other words, when
exactly the same problem data are used with different MCDA / MCDM methods, such
methods may recommend different solutions even for very simple problems.
Some of the MCDA methods are:
Weighted sum model (WSM)
Weighted product model (WPM)
Multi-Attribute Global Inference of Quality (MAGIQ)
Analytic hierarchy process (AHP)
14
2.2 Weighted sum model (WSM)
The weighted sum model is the best known and simplest multi-criteria decision
analysis / multi-criteria decision making method for evaluating a number of alternatives in
terms of a number of decision criteria. It is very important to state here that it is applicable
only when all the data are expressed in exactly the same unit.
In general, suppose that a given MCDA problem is defined on m alternatives and n decision
criteria. Furthermore, let us assume that all the criteria are benefit criteria, that is, the higher
the values are, the better it is. Next suppose that wj denotes the relative weight of importance
of the criterion Cj and aij is the performance value of alternative Ai when it is evaluated in
terms of criterion Cj.
Then, the total (i.e., when all the criteria are considered simultaneously) importance
of alternative Ai, denoted as AiWSM-score, is defined as follows:
2.3 Weighted product model (WPM)
The weighted product model is a popular multi-criteria decision
analysis (MCDA) / multi-criteria decision making (MCDM) method. It is similar to
the weighted sum model (WSM). The main difference is that instead of addition in the main
mathematical operation now there is multiplication. As with all MCDA / MCDM methods,
given is a finite set of decision alternatives described in terms of a number of decision
criteria. Each decision alternative is compared with the others by multiplying a number of
ratios, one for each decision criterion. Each ratio is raised to the power equivalent to the
relative weight of the corresponding criterion.
15
Suppose that a given MCDA problem is defined on m alternatives and n decision
criteria. Furthermore, let us assume that all the criteria are benefit criteria, that is, the higher
the values are, the better it is. Next suppose that wj denotes the relative weight of importance
of the criterion Cj and aij is the performance value of alternative Ai when it is evaluated in
terms of criterion Cj. Then, if one wishes to compare the two
alternatives AK and AL (where m ≥ K, L ≥ 1) then, the following product has to be calculated:
If the ratio P(AK/AL) is greater than or equal to the value 1, then it indicates that
alternative AK is more desirable than alternative AL (in the maximization case). If we are
interested in determining the best alternative, then the best alternative is the one that is better
than or at least equal to all other alternatives.
2.4 Multi-Attribute Global Inference of Quality (MAGIQ)
Multi-Attribute Global Inference of Quality (MAGIQ) is a multi-criteria decision
analysis technique. MAGIQ is based on a hierarchical decomposition of comparison
attributes and rating assignment using rank order centroids. The MAGIQ technique is used to
assign a single, overall measure of quality to each member of a set of systems where each
system has an arbitrary number of comparison attributes.
The MAQIC technique has features similar to the Analytic Hierarchy Process and the
Simple Multi-Attribute Rating Technique Exploiting Ranks (SMARTER) technique. The
MAGIQ technique was first published by James D. McCaffrey. The MAGIQ process begins
with an evaluator determining which system attributes are to be used as the basis for system
comparison.
16
These attributes are ranked by importance to the particular problem domain, and the
ranks are converted to ratings using rank order centroids. Each system under analysis is
ranked against each comparison attribute and the ranks are transformed into rank order
centroids. The final overall quality metric for each system is the weighted (by comparison
attribute importance) sum of each attribute rating.
The references provide specific examples of the process. There is little direct research
on the theoretical soundness and effectiveness of the MAGIQ technique as a whole, however
the use of hierarchical decomposition and the use of rank order centroids in multi-criteria
decision analyses have been studied, with generally positive results. Anecdotal evidence
suggests that the MAGIQ technique is both practical and useful.
The Analytic Hierarchy Process (AHP) is another type which we used in our
project. This is explained in next chapter
17
CHAPTER 3
Analytic Hierarchy Process (AHP)
3.1Analytic Hierarchy Process (AHP)
The Analytic Hierarchy Process (AHP) is a structured technique for dealing
with complex decisions. Rather than prescribing a "correct" decision, the AHP helps decision
makers find one that best suits their goal and their understanding of the problem—it is a
process of organizing decisions that people are already dealing with, but trying to do in their
heads.
Based on mathematics and psychology, the AHP was developed by Thomas in the
1970s and has been extensively studied and refined since then. It provides a comprehensive
and rational framework for structuring a decision problem, for representing and quantifying
its elements, for relating those elements to overall goals, and for evaluating alternative
solutions.
Analytic Hierarchy Process (AHP), since its invention, has been a tool at the hands of
decision makers and researchers, and it is one of the most widely used multiple criteria
decision-making tools. Many outstanding works have been published based on AHP. They
include applications of AHP in different fields such as planning, selecting best alternative,
resource allocations, resolving conflict, optimization, etc., as well as numerical extensions of
AHP. Among applications of AHP method for the field of selecting the best alternative, the
following publications are specified to supplier selection. Ghodsupour and O'Brion (1998)
studied the conflicts between two tangible and intangible factors, based on AHP method, i.e.
qualitative and quantitative, in order to choose the best suppliers.
Users of the AHP first decompose their decision problem into a hierarchy of more
easily comprehended sub-problems, each of which can be analyzed independently. The
elements of the hierarchy can relate to any aspect of the decision problem—tangible or
intangible, carefully measured or roughly estimated, well- or poorly-understood—anything at
all that applies to the decision at hand.
18
Once the hierarchy is built, the decision makers systematically evaluate its various
elements by comparing them to one another two at a time, with respect to their impact on an
element above them in the hierarchy.
In making the comparisons, the decision makers can use concrete data about the
elements, or they can use their judgments about the elements' relative meaning and
importance. It is the essence of the AHP that human judgments, and not just the underlying
information, can be used in performing the evaluations.
The AHP converts these evaluations to numerical values that can be processed and
compared over the entire range of the problem. A numerical weight or priority is derived for
each element of the hierarchy, allowing diverse and often incommensurable elements to be
compared to one another in a rational and consistent way. This capability distinguishes the
AHP from other decision making techniques.
The selection of vendors in Scheme Company has to be done not only to ensure
benefits to the purchasers but also to develop the vendors. The multiple and conflicting
objectives, both getting good quality furniture companies improve their operations, imply
that the criteria to use in selecting vendors might be different than that for normal
commercial purchasing of goods. Given the need to identify the strengths and weakness of
vendors for the development purposes of the scheme, a vendor rating system is essential and
cannot be avoided.
The evaluation procedure took care of about 18 different criteria. These were
segregated into four groups namely: product development capability, manufacturing
capability, quality capability, and cost and delivery. The evaluation method of this model is
based on relative performance measure for each supplier for subjective (qualitative) criteria
which is obtained by quantifying the ratings expressed in quantitative terms. The supplier
who has the maximum score is selected.
Quality, Delivery, Cost, Transport, Quality Certification, Production Facility &
Capability, Technical Capability (Dimensions), Service, Trust, Attitude, Reliability,
Responsiveness, Supplier culture, Packing ability, Profitability, Financial Stability & Credit
Strength, Communication System, etc….,
19
3.2 Model development
The objectives of this works are to develop AHP method for supplier selection. In
order to comply AHP supplier selection model a six steps approach was performed to insure
successful implementation as follows:
Step 1: Define criteria for supplier selection
Step 2: Define sub criteria and sub sub-criteria for supplier selection
Step 3: Structure the hierarchical model
Step 4: Prioritize the order of criteria or sub criteria
Step 5: Measure supplier performance
Step 6: Identify supplier priority and selection
Decision situations to which the AHP can be applied include:
Choice - The selection of one alternative from a given set of alternatives, usually
where there are multiple decision criteria involved.
Ranking - Putting a set of alternatives in order from most to least desirable
Prioritization - Determining the relative merit of members of a set of alternatives,
as opposed to selecting a single one or merely ranking them
Resource allocation - Apportioning resources among a set of alternatives
Benchmarking - Comparing the processes in one's own organization with those of
other best-of-breed organizations
Quality management - Dealing with the multidimensional aspects of quality and
quality improvement
Conflict resolution - Settling disputes between parties with apparently
incompatible goals or positions
The applications of AHP to complex decision situations have numbered in the
thousands, and have produced extensive results in problems involving planning, resource
allocation, priority setting, and selection among alternatives.
20
Other areas have included forecasting, total quality management, business process re-
engineering, quality function deployment, and the Balanced Scorecard.
3.1 AHP Model
3.3 Advantages of the AHP Method
Some benefits of AHP method provided the follow explanation.
The strength of the AHP method lies in its ability to structure a complex, multi
person, multi attribute, and multi period problem hierarchically (Saaty, 1980).
It is simple to use and understand (Chan, 2003).
It necessitates the construction of a hierarchy of attributes, sub attributes, alternatives
and so on, which facilitates communication of the problem and recommend solutions
(Yusuff et al., 2001).
It provides a unique means of quantify judgmental consistency (Chan, 2003).
It does not greatly intuition, experience, and theoretical knowledge of the domain
expert as expert system (Yusuff et al., 2001).
It does not require preferential independent of its complement (i.e. the preference
order of consequences, for any pair of attributes does not depend on the levels at
which all other attributes are hold) as multi-attribute utility model (Chan, 2003).
21
CHAPTER 4
MODEL DEVELOPMENT
4.1 COMPANY DETAILS ( BAY CONTAINER TERMINAL PVT LTD )
Bay Container Terminal Private Limited provides container terminal services all over
the world. The company’s services include container handling to/from vessel and rail, storage
of containers, internal terminal transport, cargo planning for the vessel, reefer monitoring,
transport to/from container freight station, handling of over dimensional and hazardous
containers, water supply, garbage removal, waste oil disposal, opening and closing of
hatches, lashing, daily gate/yard/rail in and out reports, medical and ambulance, berthing, de-
stuffing of LCL containers, and movement of bonded cargoes to inland container depots. It
also provides mainline, feeder, and coastal services. The company was founded in 1985 and
is based in Mumbai, India. It has customers all over the world. The main customer of them
was MEARSK
The main functions of company are to repair, service, handling & storage of various
containers. Four major types of containers that are taken care are
DRY containers
OPEN TOP containers
REFER containers
FLAT TRACK containers
Steels for containers were purchased from various suppliers like LAL
GANAPATHY, MATHAV, PRARIPURNAM, MAHAVEER, THIRUPATHY, and
J.K.STEELS.
22
4.2 Step 1: Define criteria for supplier selection
After defining the criteria for selecting the supplier, the first structured interview was
designed based on the input received; an additional criterion were added such that the
respondents were asked to identify the importance of each criterion by using numbers from 1
to 9. In order to identify relevant criteria, the respondents were asked to rate each factor using
the four-point scale of "Not important (1 to 3)", "Some-what important (4 to 5)", Important (6
to 7)" and "Very important (8 to 9)".
Before start of the research, according to the AHP method, the structured interview
was filled out by a related specialist (the manager) to evaluate the criteria. Interviews were
conducted with three members of the Steel Company namely, the two project managers and a
purchasing manager represented in order by (R1), (R2) and (R3) respectively. In order to
select the most important criteria, it was intended to accept the criteria with average above 7.
Finally, the effective extremely important criteria such as quality, delivery, cost, trust,
technical ability were selected at level (2) in supplier selection model (The goals factor in
Level (1) for supplier selection model is to select the best overall supplier).
4.3 Step 2: Define sub criteria and sub sub-criteria for supplier selection
In this step, the definition of the sub criteria and sub sub-criteria has been done for
supplier selection based on the five important criteria selected as the results of previous step.
Design and modification of identified sub and sub-criteria, also respondents, selection of the
second structured interview, have been done similar to the first step.
23
By using the second structured interview, it becomes possible to find sub and sub
sub-criteria. On account of the problems involved in sending the questionnaires to the proper
authorities and getting their response, as well as to minimize the efforts, second structured
interviews were applied to cover two goals.
To find sub-criteria and sub sub-criteria.
To weight and compare pair-wise for all criteria, sub-criteria and sub sub criteria.
Verbal judgment or preference Numerical Rating
Extremely preferred
Very strongly preferred
Strongly preferred
Moderately preferred
Equally preferred
intermediate values between two adjacent
judgments ( when compromise is needed)
9
7
5
3
1
2, 4, 6, and 8
4.1 Level of relative important
4.4 Step 3: Structure the hierarchical model
This phase involves building the AHP hierarchy model and calculating the weights of
each levels of supplier selection model. The developed AHP model, based on the identified
criteria, sub criteria and sub sub-criteria, contains five levels: the goal, the criteria, sub-
criteria, sub-sub criteria and alternatives. (Figure 2) shows an illustrative 5-level hierarchy
for the supplier selection problem. The goal of our problem in selecting the supplier for the
steel manufacturing company is identified in the first level. The second level (criteria)
contains: quality, delivery, cost, trust, technical ability.
The third and fourth level of the hierarchy consist 18 sub criteria, which were
identified in previous section. The lowest level of the hierarchy contains of the alternatives,
namely the different supplier to be evaluated in order to select the best supplier. Six suppliers
were used to represent arbitrarily the ones that the firm wishes to evaluate.
24
To complete the model at this stage, the priority weight of each criterion in each level
was determined. A second structure, an interview consisting of all factors in each level of the
AHP model is used to collect the pair-wise comparison judgments from all evaluation team
members. This approach is found to be very useful in collecting data. This determination is
performed through using pair-wise comparisons. The function of the pair-wise comparisons
is by finding the relative importance of the criteria and sub criteria which is rated by the nine-
point scale proposed by Saaty (1980), as shown in Table , which indicates the level of
relative importance from equal, moderate, strong, very strong, to extreme level by 1, 3, 5, 7,
and 9, respectively. The intermediate values between two adjacent arguments were
represented by 2, 4, 6, and 8
Sample of pair-wise comparison matrix shows that the entry for the five row and the
five column gives the importance of that row's criterion relative to the column's criterion as
shown in Table.
Criteria Quality Delivery Cost Trust Technical
Quality 1 3 2 4 3
Delivery 0.33 1 0.5 2 3
Cost 0.5 2 1 3 3
Trust 0.25 0.5 0.33 1 0.33
Technical 0.33 0.33 0.33 3 1
4.2 Pair wise comparison matrix
25
26
After obtaining the pair-wise judgments as in the above Table, the next step is the
Computation of a vector of priorities or weighting of elements in the matrix. In terms of
matrix algebra, this consists of calculating the "principal vector" (Eigenvector) of the matrix
by adding the members of each column to find the total. In the next step, in order to
normalize each column to sum to 1.0 or 100%, divide the elements of that column by the
total of the column and sum them up. Finally, add the elements in each resulting row and
divide this sum by the number of elements in the row to get the average.
Criteria Quality Delivery Cost Trust Technical Relative
Priority
Quality 1 3 2 4 3 0.39
Delivery 0.33 1 0.5 2 3 0.17
Cost 0.5 2 1 3 3 0.25
Trust 0.25 0.5 0.33 1 0.33 0.07
Technical 0.33 0.33 0.33 3 1 0.12
Sum 2.41 6.83 4.16 13 10.33
4.3 Pair wise comparison matrix with relative priority
The consistency ratio (C.R.) for the comparison above is calculated to determine the
acceptance of the priority weighting. The consistency test is one of the essential features of
the AHP method which aims to eliminate the possible inconsistency revealed in the criteria
weights, through the computation of consistency level of each matrix.
The consistency ratio (CR) was used to determine and justify the inconsistency in the
pair-wise comparison made by the respondents. Based on Saaty's (1980) empirical
suggestion that a C.R. = 0.10 is acceptable, it is concluded that the foregoing pair-wise
comparisons to obtain attribute weights are reasonably consistent. If the CR value is lower
than the acceptable value, the weight results are valid and consistent. In contrast, if the CR
value is larger than the acceptable value, the matrix results are inconsistent and are exempted
for the further analysis.
27
Weighted sum vector:
WSV = 2.04
0.92
1.36
0.37
0.60
Quality = (2.04/ .39) = 5.231
Delivery = (0.92/ .17) = 5.412
Cost = (1.36/ .25) = 5.44
Trust = (.37/ .07) = 5.286
Technical = (0.60/ .12) = 5
λ max =(5.231+5.412+5.44+5.286+5)/ 5 = 5.2738
C.I = ((λ max – n)/(n-1)) (here n=4)
= ((5.2738-5)/(5-1)) = .0.068
CR = CI/RI (RI = 1.11 (for n= 5))
= .068/ 1.11 = .061 (CR< 0.1 OK).
Table below exhibits the local weights for each criterion in each level.
The global weights are calculated by multiplying the local weights with criteria, sub
criteria and sub sub-criteria. As an example the calculations of the global weights of trust
criteria are shown in following. The result of priority criteria's with local weights of each
level is shown in Table.
28
Composite Priority weights of Sub Criteria:
Main Criteria Local Weight Sub Criteria Local weight
Quality 0.39 Warranty 0.5
Top Management Commitment 0.29
Customer Focus 0.13
I.S.O 0.09
Cost 0.25 Net Price 0.43
Ordering Cost 0.28
Capital investment 0.21
Profitability 0.08
Delivery 0.17 On Time Delivery 0.35
Location 0.3
Delivery Lead Time 0.2
Service Flexibility 0.12
Packaging Ability 0.03
Technical Ability 0.12 Dimension 0.56
Capability Of Supplier 0.32
Communication System 0.12
Trust 0.07 Reliability 0.48
Impression 0.29
Attitude 0.18
Culture 0.05
Quality 0.39 Warranty 0.5
Top Management Commitment 0.29
Customer Focus 0.13
I.S.O 0.09
4.4 Composite Priority weights of Sub Criteria
29
30
4.5 Step 4: Prioritize the order of criteria or sub criteria
Having completed mathematical calculations, comparisons of criteria and allocating
weights for each criterion in each level is performed. As indicated in the previous section
(Priority weights for alternatives versus attribute and prediction priority), according to the
results of each criterion weights define important criteria arrangement and classified in each
level for selecting the supplier.
After calculating the global weights of each sub sub-criteria of level 4, the result is
rearranged in descending order of priority, as shown in Table.
Rank Critical Factors Global Weight
1 Warranty 0.195
2 Top Management Commitment 0.113
3 Net Price 0.108
4 Ordering Cost 0.07
5 Dimension 0.067
6 On time Delivery 0.06
7 Capital Investment 0.053
8 Customer Focus 0.051
9 Location 0.051
10 Capability of Supplier 0.038
11 I.S.O 0.035
12 Delivery Lead Time 0.034
13 Reliability 0.034
14 Profitability 0.02
15 Service Flexibility 0.02
16 Impression 0.02
17 Communication System 0.014
18 Attitude 0.012
19 Packaging Ability 0.005
20 Culture 0.003
4.5 Ranking of sub criteria
31
Ranking of Main Criteria :
R
ank Critical Factors Global Weight
1 Quality 0.39
2 Cost 0.25
3 Delivery 0.17
4 Technical Ability 0.12
5 Trust 0.07
4.6 Ranking of main criteria
4.6 Step 5: Measure supplier performance
The main reason for adopting this method is the evaluation of supplier for a particular
steel manufacturing company. After weighting the AHP model for determining priority
weight for alternatives and testing the model, the third structured interview was designed and
modifies. This interview collects the weightings of alternatives to identify the best supplier.
In this step, to determine the priority weight for alternatives, the competitive rivals that are
actually the suppliers who are supposed to be used for steel company were compared. After
finding the local weights of each alternative, the global weights of each alternative in each
level can be calculated. The global weights evaluation of each alternative can be obtained
through multiplying the global weights of sub sub criteria by the local weights of each
alternative. The results and priority weight for each alternative are shown in Table.
In the following tables C.F (Criteria Factors), L.W (Local Weights), G.W (Global Weights)
32
Criteria Relative Priority W.R.T supplier:
MAHA
VEER
PRARIP
URNAM
THIRU
PATHY
MAT
HAV
LAL GANA
PATHY
J.K.
STEELS
C.F L.W L.W L.W L.W L.W L.W
Warranty 0.26 0.39 0.04 0.1 0.17 0.03
T.M.C 0.29 0.05 0.17 0.38 0.04 0.07
Net Price 0.18 0.15 0.05 0.03 0.28 0.21
Ordering Cost 0.47 0.02 0.07 0.04 0.08 0.32
Dimension 0.47 0.05 0.18 0.09 0.12 0.1
On time Delivery 0.37 0.27 0.04 0.03 0.18 0.11
Capital
Investments 0.44 0.15 0.21 0.03 0.06 0.1
Customer Focus 0.11 0.04 0.47 0.29 0.03 0.06
Location 0.19 0.38 0.05 0.04 0.29 0.05
Capability of
Supplier 0.45 0.24 0.03 0.07 0.07 0.14
I.S.O 0.38 0.24 0.05 0.15 0.03 0.16
Delivery Lead
Time 0.38 0.22 0.04 0.03 0.2 0.13
Reliability 0.25 0.39 0.04 0.13 0.17 0.03
Profitability 0.59 0.11 0.04 0.11 0.04 0.11
Service
Flexibility 0.33 0.33 0.04 0.03 0.17 0.1
Impression 0.41 0.22 0.08 0.06 0.03 0.2
Communication
System 0.42 0.21 0.07 0.06 0.03 0.14
Attitude 0.44 0.14 0.23 0.03 0.07 0.09
Packaging Ability 0.3 0.12 0.3 0.1 0.05 0.4
Culture 0.16 0.21 0.9 0.9 0.3 0.42
4.7Criteria Relative Priority W.R.T supplier
33
Priority Weights of Each Alternative:
Critical FactorsMAHAVEER PRARIPURNAM THIRUPATHI MATHAV LAL
GANAPATHYJ.K.STEELS
G.W L.W G.W L.W G.W L.W G.W L.W G.W L.W G.W L.W G.WWarranty 0.195 0.26 0.0507 0.39 0.07605 0.04 0.0078 0.1 0.0195 0.17 0.03315 0.03 0.00585
Top Management Commitment 0.113 0.29 0.03277 0.05 0.00565 0.17 0.01921 0.38 0.04294 0.04 0.00452 0.07 0.00791
Net Price 0.108 0.18 0.01944 0.15 0.0162 0.05 0.0054 0.03 0.00324 0.28 0.03024 0.21 0.02268Ordering Cost 0.07 0.47 0.0329 0.02 0.0014 0.07 0.0049 0.04 0.0028 0.08 0.0056 0.32 0.0224
Dimension 0.067 0.47 0.03149 0.05 0.00335 0.18 0.01206 0.09 0.00603 0.12 0.00804 0.1 0.0067On time Delivery 0.06 0.37 0.0222 0.27 0.0162 0.04 0.0024 0.03 0.0018 0.18 0.0108 0.11 0.0066Capital
Investment 0.053 0.44 0.02332 0.15 0.00795 0.21 0.01113 0.03 0.00159 0.06 0.00318 0.1 0.0053Customer
Focus 0.051 0.11 0.00561 0.04 0.00204 0.47 0.02397 0.29 0.01479 0.03 0.00153 0.06 0.00306Location 0.051 0.19 0.00969 0.38 0.01938 0.05 0.00255 0.04 0.00204 0.29 0.01479 0.05 0.00255
Capability of Supplier 0.038 0.45 0.0171 0.24 0.00912 0.03 0.00114 0.07 0.00266 0.07 0.00266 0.14 0.00532
I.S.O 0.035 0.38 0.0133 0.24 0.0084 0.05 0.00175 0.15 0.00525 0.03 0.00105 0.16 0.0056Delivery Lead
Time 0.034 0.38 0.01292 0.22 0.00748 0.04 0.00136 0.03 0.00102 0.2 0.0068 0.13 0.00442Reliability 0.034 0.25 0.0085 0.39 0.01326 0.04 0.00136 0.13 0.00442 0.17 0.00578 0.03 0.00102
4.8.1 Priority Weights of Each Alternative
34
Priority Weights of Each Alternative:
Profitability 0.02 0.59 0.0118 0.11 0.0022 0.04 0.0008 0.11 0.0022 0.04 0.0008 0.11 0.0022Service
Flexibility 0.02 0.33 0.0066 0.33 0.0066 0.04 0.0008 0.03 0.0006 0.17 0.0034 0.1 0.002Impression 0.02 0.41 0.0082 0.22 0.0044 0.08 0.0016 0.06 0.0012 0.03 0.0006 0.2 0.004
Communication System 0.014 0.42 0.00588 0.21 0.00294 0.07 0.00098 0.06 0.00084 0.03 0.00042 0.14 0.00196Attitude 0.012 0.44 0.00528 0.14 0.00168 0.23 0.00276 0.03 0.00036 0.07 0.00084 0.09 0.00108
Packaging Ability 0.005 0.3 0.0015 0.12 0.0006 0.3 0.0015 0.1 0.0005 0.05 0.00025 0.4 0.002Culture 0.003 0.16 0.00048 0.21 0.00063 0.9 0.0027 0.9 0.0027 0.3 0.0009 0.42 0.00126TOTAL SCORE 0.31968 0.20553 0.10617 0.11648 0.13535 0.11391
4.8.2 Priority Weights of Each Alternative
35
4.7 Step 6: Identify supplier priority and selection
Based on the global priority, weights of each alternative can be evaluated and
summarized. The summaries of overall attributes are shown in above Table. It can be
noted that among the six given suppliers, supplier "MAHAVEER” has the highest
weight. Therefore, it must be selected as the best supplier to satisfy the goals and
objectives of the steel manufacturing company. Above table shows the final score of each
supplier s' results and ranking. As can be seen, supplier MAHAVEER s’ score of
(0.31968) is greater than the other five suppliers' scores such as supplier
PRARIPURNAM (0.20553), supplier LAL GANAPATHY (0.13535), supplier
MATHAV (0.11648), supplier J.K.STEELS (0.11391) and supplier THIRUPATHY
(0.10617).
36
CHAPTER 5
Conclusion
5.1 Conclusion:
The main contribution of the work was the identification of the important criteria
for supplier selection process. The criteria found were Warranty, followed by Top
Management Commitment and Net Price. This achievement covered the first objective of
the research.
The second contribution was a development of a multi-criteria decision model for
evaluation and selection which is used for supplier selection in steel company.
The model for supplier evaluation and selection were successfully developed by using
AHP method dedicated for steel manufacturing company. The four-level of AHP model
is assessing decision-makers to identify and evaluate the supplier selection. These
achievements covered the second objective of the research.
Finally, the model is applicable to supplier selection problem in steel
manufacturing company. In addition, the proposed AHP model is significantly effective
in decision making. With the use of AHP model software, the results can be transferred to
a spreadsheet for easy computations and it is easier to identify and evaluate suppliers to
arrive to a consensus decision. The works that have been carried out, can be reused to
identify any supplier ranking case, in order to evaluate and compare other new future
suppliers with the consideration both quantity and quality criteria in steel manufacturing
company.
37
5.2 Inference Drawn:
MAIN CRITERIA RANKING:
SUB CRITERIA RANKING:
38
SUPPLIER RANKING:
The ranking list of critical success factors can be seen that quality and cost factors
occupy the top-most ranking in the list, the top rank being the warranty (0.195), followed
by top management commitment (0.113) and net price (0.108). The delivery and
technical ability factors that are in the top ten ranking include on time delivery (0.06),
dimension (0.067), capital investment (0.053) and location (0.051).
It can be noted that among the six given suppliers, supplier "MAHAVEER” has
the highest weight. Therefore, it must be selected as the best supplier to satisfy the goals
and objectives of the steel manufacturing company.
39
5.3 Future Scope:
In order to have a more reliable result, it is suggested that in future group AHP or
Fuzzy AHP be applied to guide decision making toward a more constructive and
consolidated plan. To comply with this method, questionnaires are prepared which have
to be taught to the related and evolved members to enable them to fill them out correctly
and accurately to get optimum advantages and results. Therefore training classes for the
participant members, involved in decision making, are highly recommended in order to
upgrade their know-ledge in using the sophisticated technique of "AHP". Considering the
simplicity of this technique, the involved members can gain the basic and essential
context of this method along with being cognizant of the questionnaires. Afterwards, the
group will be able to analyze the given data, inputs. Although this method is utterly
beneficial and useful for paving the road for the group to make constructive decisions, it
has some handicaps and faults which can be alleviated and compensated through the
mathematical methods indulged in it.
40
CHAPTER 6
REFERENCE
BOOKS:
Saaty.T.L (2001) Decision making with dependence and feedback, RWS Publication.
Saaty.T.L (1990) The Analytic hierarchy Process, RWS Publication.
JOURNALS:
Farzad Tahriri, M. Rasid Osman, October 2008, “AHP approach for supplier evaluation”,
Vol 1(Journal of industrial engineering and management, 2008 (www.jiem.org))
WEBSITES:
http://nb.vse.c2/~jablon/
http://www.boku.ac.at/mi/
41
ANNEXURE
QUALITY Criteria:
Pair wise comparison Metrics:
Criteria ISO Warranty TMC Customer
Focus
Relative
Priority
ISO 1 0.2 0.33 0.5 0.09
Warranty 5 1 2 4 0.5
TMC 3 0.5 1 3 0.29
Customer
Focus
2 0.25 0.33 1 0.13
sum 11 1.95 3.66 8.5
Weighted sum vector:
WSV = 0.346
2.01
1.2
0.531
ISO = (0.346/ .09) = 3.84
Warranty = (2.01/ .5) = 4.02
TMC = (1.2/ .29) = 4.138
Customer Focus = (.531/ .13) = 4.085
λ max = (3.84+4.02+4.138+4.085)/ 4
= 4.021
C.I = ((λ max – n)/(n-1)) (here n=4)
= ((4.021-4)/(4-1))
= .007
RI = 0.9(for n= 4)
CR = CI/RI
= .007/ 0.9
= .007 (CR< 0.1 OK).
42
DELIVERY Criteria:
Pair wise comparison Metrics:
Criteria On Time
Delivery
Service
Flexibility
Delivery
L.T
Location Packaging
Ability
Relative
priority
On Time
Delivery
1 3 2 2 4 0.35
Service
Flexibility
0.33 1 0.5 0.33 5 0.12
Delivery
L. T
0.5 2 1 0.5 7 0.2
Location 0.5 3 2 1 9 0.3
Packaging
Ability
0.25 0.2 0.14 0.11 1 0.03
Sum 2.58 9.2 5.64 3.94 27
Weighted sum vector:
WSV = 1.83
0.58
0.98
1.51
0.20
Quality = (1.83/ .35) = 5.229
Delivery = (0.58/ .12) = 4.833
Cost = (0.98/ .2) = 4.9
Trust = (1.51/ .3) = 5.033
Technical = (0.20/ .03) = 6.667
λ max =(55.229+4.833+4.9+5.033+6.667)/ 5 = 5.3324
C.I = ((λ max – n)/ (n-1)) (here n=4)
= ((5.3324-5)/(5-1)) = .0831
RI = 1.11 (for n= 5)
CR = CI/RI = .0831/ 1.11
= .075 (CR< 0.1 OK).
43
COST Criteria:
Pair wise comparison Metrics:
Criteria Net Price Ordering
Cost
Capital
Investment
Profitability Relative
Priority
Net Price 1 2 5 2 0.43
Ordering
Cost
0.5 1 3 2 0.28
Capital
Investment
0.2 0.33 1 0.25 0.08
Profitability 0.5 0.5 4 1 0.21
Sum 2.2 3.83 13 5.25
Weighted sum vector:
WSV = 1.81
1.16
0.31
0.89
Net Price = (1.81/ .43) = 4.209
Ordering Cost = (1.16/ .28) = 4.143
Capital Investment = (.31/ .08) = 3.875
Profitability = (0.89/ .21) = 4.238
λ max =(4.209+4.143+3.875+4.238)/ 4 = 4.116
C.I = ((λ max – n)/(n-1)) (here n=4)
= ((4.116-4)/(4-1))
= 0.039
RI = 0.9(for n= 4)
CR = CI/RI
= 0.039/ 0.9
= 0.043 (CR< 0.1 OK).
44
TRUST Criteria:
Pair wise comparison Metrics:
Criteria Attitude Impression Reliability Culture Relative
Priority
Attitude 1 0.5 0.33 5 0.18
Impression 2 1 0.5 7 0.29
Reliability 3 2 1 9 0.48
Culture 0.2 0.14 0.11 1 0.05
Sum 6.2 3.64 1.94 23
Weighted sum vector:
WSV = 0.733
1.24
2.05
0.179
Attitude = (0.733/ .18) = 4.072
Impression = (1.24/ .29) = 4.276
Reliability = (2.05/ .48) = 4.271
Culture = (0.179/ .05) = 3.58
λ max =(4.072+4.276+4.271+3.58)/ 4 = 4.05
C.I = ((λ max – n)/(n-1)) (here n=4)
= ((4..05-4)/(4-1))
= 0.017
RI = 0.9(for n= 4)
CR = CI/RI
= 0.017/ 0.9
= 0.019 (CR< 0.1 OK).
45
TECHNICAL Criteria:
Pair wise comparison Metrics:
Criteria Capability of
Supplier
Dimension Communication
system
Relative
priority
Capability of
Supplier
1 0.5 3 0.32
Dimension 2 1 4 0.56
Communication
system
0.33 0.25 1 0.12
Sum 3.33 1.75 8
Weighted sum vector:
WSV = 0.96
1.68
0.37
Capability of Supplier = (0.96/.32) = 3
Dimension = (1.68/ .56) = 3
Communication system = (0.37/ .12) = 3.083
λ max =(3+3+3.083)/ = 3.013
C.I = ((λ max – n)/(n-1)) (here n=3)
= ((3.013-3)/(3-1))
= 0.007
RI = 0.58(for n= 3)
CR = CI/RI
= 0.017/ 0.58
= 0.012 (CR< 0.1 OK).
46
Supplier Based on QUALITY:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 3 2 5 7 2 .33
Paripurnam .33 1 .33 3 5 2 .16
Thirupathi .5 3 1 5 7 3 .28
Mathav .2 .33 .2 1 3 .25 .04
Lal Ganapathi .14 .2 .14 .33 1 .14 .03
J.K.Steels .5 .5 .33 4 7 1 .16
Sum 2.67 8.03 4 18.33 30 8.39
Weighted sum vector:
WSV = 2.1
0.95
1.82
0.34
0.18
0.87
Mahaveer = (2.1/.33) = 6.36
Paripurnam = (.95/.16) = 5.94
Thirupathi = (1.82/.28) = 6.5
Mathav = (.531/ .13) = 8.5
Lal Ganapathi = (0.18/.03) =6
J.K.Steels = (0.87/.16) =5.44
λ max =(6.36+5.94+6.5+8.5+6+5.44)/ 6 = 6.502
C.I = ((λ max – n)/(n-1)) (here n=6) = ((6.502-6)/(6-1)) = .1
RI = 1.24(for n= 6)
CR = CI/RI = .01/ 1.24 = ..08 (CR< 0.1 OK).
47
Supplier Based on DELIVERY:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 7 5 5 .5 5 .33
Paripurnam .14 1 .33 .5 .14 .33 .04
Thirupathi .2 3 1 3 .5 2 .13
Mathav .2 2 .33 1 .14 .33 .05
Lal Ganapathi 2 7 2 7 1 5 .37
J.K.Steels .2 3 .5 3 .2 1 .08
Sum 3.74 23 9.16 19.5 2.48 13.66
Weighted sum vector:
WSV = 2.1
0.23
0.81
0.32
2.32
0.56
Mahaveer = (2.1/.33) = 6.36
Paripurnam = (.23/.04) = 5.75
Thirupathi = (.81/ .13) = 6.23
Mathav = (.32/ .05) = 6.4
Lal Ganapathi = (2.32/.37) = 6.27
J.K.Steels = (.56/.08) = 7
λ max =(6.36+5.75+6.23+6.4+6.27+7)/ 6 = 6.335
C.I = ((λ max – n)/(n-1)) (here n=6) = ((6.335-6)/(6-1)) = .067
RI = 1.24(for n= 6)
CR = CI/RI = .067/ 1.24 = .05 (CR< 0.1 OK).
48
Supplier Based on COST:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 5 7 7 7 7 .52
Paripurnam .2 1 2 2 3 3 .16
Thirupathi .14 .5 1 .5 .5 .33 .05
Mathav .14 .5 2 1 .33 .33 .06
Lal Ganapathi .14 .33 2 3 1 3 .12
J.K.Steels .14 .33 3 3 .33 1 .09
Sum 1.76 7.66 17 16.5 12.16 14.66
Weighted sum vector:
WSV = 3.56
1.11
0.32
0.38
0.8
0.59
Mahaveer = (3.56/ .52) = 6.85
Paripurnam = (1.11/ .16) = 6.94
Thirupathi = (.32/ .05) = 6.4
Mathav = (.38/ .06) = 6.3
Lal Ganapathi = (0.8/.12) = 6.67
J.K.Steels = (0.59/.09) = 6.56
λ max =(6.85+6.94+6.4+6.3+6.67+6.56)/ 6 = 6.62
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.62-6)/(6-1))
= .123
RI = 1.24(for n= 6)
CR = CI/RI = .123/ 1.24 = .099 (CR< 0.1 OK).
49
Supplier Based on TRUST:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 .33 4 1 3 2 .18
Paripurnam 3 1 4 3 4 4 .38
Thirupathi .25 .25 1 .17 .25 .25 .04
Mathav 1 .33 4 1 3 2 .18
Lal Ganapathi .33 .25 4 .33 1 .25 .08
J.K.Steels .5 .25 4 .5 4 1 .14
Sum 6.08 2.14 21 6 15.25 9.5
Weighted sum vector:
WSV = 1.17
2.5
0.27
1.17
0.49
0.9
Mahaveer = (1.17/.18) = 6.5
Paripurnam = (2.5/ .38) = 6.58
Thirupathi = (.27/ .04) = 6.75
Mathav = (1.17/ .18) = 6.5
Lal Ganapathi = (0.49/.08) = 6.13
J.K.Steels = (0.9/.14) = 6.43
λ max =(6.5+6.58+6.75+6.5+6.13+6.43)/ 6 = 6.482
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.482-6)/(6-1))
= .096
RI = 1.24(for n= 6)
CR = CI/RI = .096/ 1.24 = .077 (CR< 0.1 OK).
50
Supplier Based on TECHNICAL ABILITY:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 .5 3 3 5 .25 .16
Paripurnam 2 1 3 3 7 .33 .21
Thirupathi .33 .33 1 2 5 .2 .1
Mathav .33 .33 .5 1 5 .2 .08
Lal Ganapathi .2 .14 .2 .2 1 .14 .03
J.K.Steels 4 3 5 5 7 1 .42
Sum 7.83 5.3 12.7 14.2 30 2.14
Weighted sum vector:
WSV = 1.06
1.42
0.62
0.49
0.19
2.8
Mahaveer = (1.06/ .16) = 6.63
Paripurnam = (1.42/ .21) = 6.76
Thirupathi = (062/ .1) = 6.2
Mathav = (.49/ .08) = 6.13
Lal Ganapathi = (0.19/.03) = 6.33
J.K.Steels = (208/.42) = 6.67
λ max =(6.63+6.76+6.2+6.13+6.33+6.67)/ 6 = 6.45
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.45-6)/(6-1))
= .075
RI = 1.24(for n= 6)
CR = CI/RI = .075/ 1.24 = .06 (CR< 0.1 OK).
51
Supplier Based on I.S.O:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 3 5 3 9 3 .38
Paripurnam .33 1 7 2 9 2 .24
Thirupathi .2 .14 1 .2 3 .25 .05
Mathav .33 .5 5 1 7 .5 .15
Lal Ganapathi .11 .11 .33 .14 1 .2 .03
J.K.Steels .33 .5 4 2 5 1 .16
Sum 2.3 5.25 22.33 8.34 34 6.95
Weighted sum vector:
WSV = 2.55
1.61
0.32
0.94
0.17
1.06
Mahaveer = (2.55/ .38) = 6.7
Paripurnam = (1.61/ .24) = 6.7
Thirupathi = (.32/ .05) = 6.4
Mathav = (.94/ .15) = 6.3
Lal Ganapathi = (0.17/.03) = 5.7
J.K.Steels = (1.06/.16) = 6.6
λ max =(6.7+6.7+6.4+6.3+6.6+5.7)/ 6 = 6.4
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.4-6)/(6-1))
= .08
RI = 1.24(for n= 6)
CR = CI/RI = .08/ 1.24 = .065 (CR< 0.1 OK).
52
Supplier Based on WARRANTY:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 .33 8 3 3 7 .26
Paripurnam 3 1 9 3. 3 9 .39
Thirupathi .13 .11 1 .17 .2 2 .04
Mathav .33 .33 6 1 .33 6 .1
Lal Ganapathi .33 .33 5 3 1 6 .17
J.K.Steels .14 .11 .5 .17 .17 1 .03
Sum 4.93 2.1 29.5 10.34 7.6 31
Weighted sum vector:
WSV = 1.73
2.61
0.23
0.79
1.06
0.18
Mahaveer = (1.73/ .26) = 6.65
Paripurnam = (2.61/ .39) = 6.69
Thirupathi = (.23/ .04) = 5.75
Mathav = (.79/ .1) = 7.9
Lal Ganapathi = (1.06/.17) = 6.2
J.K.Steels = (0.18/.03) = 6
λ max =(6.65+6.69+5.75+7.9+6.2+6)/ 6 = 6.532
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.532-6)/(6-1))
= .106
RI = 1.24(for n= 6)
CR = CI/RI = .106/ 1.24 = .085 (CR< 0.1 OK).
53
Supplier Based on T.M.C:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 5 3 .33 9 7 .29
Paripurnam .2 1 .2 .14 2 .33 .05
Thirupathi .33 5 1 .33 7 3 .17
Mathav 3 7 3 1 5 5 .38
Lal Ganapathi .11 .5 .14 .2 1 .33 .04
J.K.Steels .14 3 .33 .2 3 1 .07
Sum 4.78 21.5 7.67 2.2 27 16.66
Weighted sum vector:
WSV = 2.03
.3
1.13
2.66
.22
.51
Mahaveer = (2.03/ .29) =7
Paripurnam = (.3/ .05) = 6
Thirupathi = (1.13/ .17 = 6.65
Mathav = (2.66/ .38) = 7
Lal Ganapathi = (.22/.04) = 5.5
J.K.Steels = (0.51/.07) = 7.29
λ max =(7+6+6.65+7+5.5+7.29)/ 6 = 6.573
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.573-6)/(6-1))
= .115
RI = 1.24 (for n= 6)
CR = CI/RI = .115/ 1.24 = .09 (CR< 0.1 OK).
54
Supplier Based on CUSTOMER FOCUS:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 3 .11 .2 5 3 .11
Paripurnam .33 1 .11 .14 1 .33 .04
Thirupathi 9 9 1 3 7 7 .47
Mathav 5 7 .33 1 9 7 .29
Lal Ganapathi .2 1 .14 .11 1 .33 .03
J.K.Steels .33 3 .14 .14 3 1 .06
Sum 15.33 24 1.83 4.59 26 18.66
Weighted sum vector:
WSV = .67
.22
3.32
1.97
.21
.41
Mahaveer = (0.67/ .11) = 6.09
Paripurnam = (.22/ .04) = 5.5
Thirupathi = (3.32/ .47) = 7.06
Mathav = (1.97/ .29) = 6.79
Lal Ganapathi = (0.21/.03) = 7
J.K.Steels = (0.41/.06) = 6.8
λ max =(6.09+5.5+7.06+6.79+7+6.8)/ 6 = 6.54
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.54-6)/(6-1))
= .108
RI = 1.24 (for n= 6)
CR = CI/RI = .108/ 1.24 = .087 (CR< 0.1 OK).
55
Supplier Based on On Time Delivery:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 3 7 9 3 3 .37
Paripurnam .33 1 9 9 3 3 .27
Thirupathi .14 .11 1 3 .14 .2 .04
Mathav .14 .14 .33 1 .14 .2 .03
Lal Ganapathi .33 .33 7 7 1 3 .18
J.K.Steels .33 .33 5 5 .33 1 .11
Sum 2.27 4.91 29.33 34 7.61 10.4
Weighted sum vector:
WSV = 2.6
1.71
.26
.18
1.21
.73
Mahaveer = (2.6/ .37) = 7.02
Paripurnam = (1.71/ .27) = 6.3
Thirupathi = (.26/ .04) = 6.5
Mathav = (.18/ .03) = 6
Lal Ganapathi = (1.21/.18) = 6.72
J.K.Steels = (0.73/.11) = 6.64
λ max =(7.02+6.3+6.5+6+6.72+6.64)/ 6 = 6.53
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.53-6)/(6-1))
= .106
RI = 1.24(for n= 6)
CR = CI/RI = .106/ 1.24 = .085 (CR< 0.1 OK).
56
Supplier Based on Service Flexibility:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 1 7 9 5 3 .33
Paripurnam 1 1 7 9 3 5 .33
Thirupathi .14 .14 1 3 .14 .2 .04
Mathav .11 .11 .33 1 .11 .2 .03
Lal Ganapathi .2 .33 7 9 1 3 .17
J.K.Steels .33 .2 5 5 .33 1 .1
Sum 2.78 2.78 27.33 36 9.58 12.4
Weighted sum vector:
WSV = 2.36
2.22
.27
.15
1.19
.68
Mahaveer = (2.36/ .33) = 7.15
Paripurnam = (2.22/ .33) = 6.73
Thirupathi = (.27/ .04) = 6.75
Mathav = (.15/ .03) = 5
Lal Ganapathi = (1.19/.17) = 7
J.K.Steels = (0.68/.1) = 6.8
λ max =(7.15+6.73+6.75+5+7+6.8)/ 6 = 6.572
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.572-6)/(6-1))
= .114
RI = 1.24(for n= 6)
CR = CI/RI = .114/ 1.24 = .09 (CR< 0.1 OK).
57
Supplier Based on Delivery Lead Time:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 3 5 7 3 3 .38
Paripurnam .33 1 5 7 1 3 .22
Thirupathi .2 .2 1 3 .2 .33 .04
Mathav .14 .14 .33 1 .2 .14 .03
Lal Ganapathi .33 1 5 5 1 3 .2
J.K.Steels .33 .33 3 7 .33 1 .13
Sum 2.33 5.67 19.33 30 5.73 10.47
Weighted sum vector:
WSV = 2.44
1.35
.33
.19
1.29
.72
Mahaveer = (2.44/ .38) = 6.42
Paripurnam = (1.35/ .22) = 6.14
Thirupathi = (.33/ .04) = 8.25
Mathav = (.19/ .03) = 6.33
Lal Ganapathi = (1.29/.2) = 6.45
J.K.Steels = (0.72/.13) = 5.54
λ max =(6.42+6.14+8.25+6.33+6.45+5.54)/ 6 = 6.522
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.522-6)/(6-1))
= .104
RI = 1.24(for n= 6)
CR = CI/RI = .104/ 1.24 = .084 (CR< 0.1 OK).
58
Supplier Based on Location:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 .2 3 5 1 7 .19
Paripurnam 5 1 7 7 1 7 .38
Thirupathi .33 .14 1 1 .14 1 .05
Mathav .2 .14 1 1 .14 .33 .04
Lal Ganapathi 1 1 7 7 1 7 .29
J.K.Steels .14 .14 1 3 .14 1 .05
Sum 7.67 2.62 20 24 3.42 23.33
Weighted sum vector:
WSV = 1.26
2.6
.3
.24
1.84
.34
Mahaveer = (1.26/ .19) = 6.63
Paripurnam = (2.6/ .38) = 6.84
Thirupathi = (.6/ .05) = 6
Mathav = (.24/ .04) = 6
Lal Ganapathi = (1.84/.29) = 6.34
J.K.Steels = (0.34/.05) = 6.8
λ max =(6.63+6.84+6+6+6.34+6.8)/ 6 = 6.435
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.435-6)/(6-1))
= .087
RI = 1.24(for n= 6)
CR = CI/RI = .087/ 1.24 = .07 (CR< 0.1 OK).
59
Supplier Based on Packaging Ability:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 5 7 3 5 1 .3
Paripurnam .2 1 5 3 3 .14 .12
Thirupathi .14 .2 1 .33 .33 .11 .03
Mathav .33 .33 3 1 5 .14 .1
Lal Ganapathi .2 .33 3 .2 1 .11 .05
J.K.Steels 1 7 9 7 9 1 .4
Sum 2.87 13.86 28 14.53 23.33 2.5
Weighted sum vector:
WSV = 2.06
.84
.19
.63
.3
2.8
Mahaveer = (2.06/ .03) = 6.87
Paripurnam = (.84/ .12) = 7
Thirupathi = (.19/ .03) = 6.33
Mathav = (.63/ .1) = 6.3
Lal Ganapathi = (0.30/.05) = 6
J.K.Steels = (2.8/.4) = 7
λ max =(6.87+7+6.33+6.3+6+7)/ 6 = 6.583
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.583-6)/(6-1))
= .117
RI = 1.24(for n= 6)
CR = CI/RI = .117/ 1.24 = .09 (CR< 0.1 OK).
60
Supplier Based on Net Price:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 3 5 7 .33 1 .18
Paripurnam .33 1 7 9 .33 .33 .15
Thirupathi .2 .14 1 3 .2 .14 .05
Mathav .14 .11 .33 1 .14 .14 .03
Lal Ganapathi 3 3 5 7 1 3 .28
J.K.Steels 1 3 7 7 .33 1 .21
Sum 5.67 10.25 25.33 34 2.33 5.61
Weighted sum vector:
WSV = 1.39
.99
.28
.16
1.96
1.49
Mahaveer = (1.39/ .18) = 7.72
Paripurnam = (.99/ .15) = 6.6
Thirupathi = (.28/ .05) = 5.6
Mathav = (.16/ .03) = 5.33
Lal Ganapathi = (1.96/.28) = 7
J.K.Steels = (1.49/.21) = 7.1
λ max =(7.72+6.6+5.6+5.33+7+7.1)/ 6 = 6.537
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.537-6)/(6-1))
= .107
RI = 1.24(for n= 6)
CR = CI/RI = .107/ 1.24 = .087 (CR< 0.1 OK).
61
Supplier Based on Ordering Cost:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 9 9 9 9 3 .47
Paripurnam .11 1 .33 .33 .2 .11 .02
Thirupathi .11 3 1 3 1 .11 .07
Mathav .11 3 .33 1 .33 .11 .04
Lal Ganapathi .11 5 1 3 1 .11 .08
J.K.Steels .33 9 9 9 9 1 .32
Sum 1.77 30 20.66 25.33 20.53 4.44
Weighted sum vector:
WSV = 3.32
.14
.42
.24
.46
2.37
Mahaveer = (3.32/ .47) = 7.06
Paripurnam = (.14/ .02) = 7
Thirupathi = (.42/ .07) = 6
Mathav = (.24/ .04) = 6
Lal Ganapathi = (0.46/.08) = 5.75
J.K.Steels = (2.37/.32) = 7.41
λ max =(7.06+7+6+6+5.75+7.41)/ 6 = 6.54
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.54-6)/(6-1))
= .108
RI = 1.24(for n= 6)
CR = CI/RI = .108/ 1.24 = .087 (CR< 0.1 OK).
62
Supplier Based on Profitability:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 7 9 7 9 7 .59
Paripurnam .14 1 3 1 3 1 .11
Thirupathi .11 .33 1 .33 1 .33 .04
Mathav .14 1 3 1 3 1 .11
Lal Ganapathi .11 .33 1 .33 1 .33 .04
J.K.Steels .14 1 3 1 3 1 .11
Sum 1.64 10.66 20 10.66 20 10.66
Weighted sum vector:
WSV = 3.62
.65
.25
.65
.25
.65
Mahaveer = (3.62/ .59) = 6.14
Paripurnam = (.65/ .11) = 5.91
Thirupathi = (.25/ .04) = 6.25
Mathav = (.65/ .11) = 5.91
Lal Ganapathi = (0.25/.04) = 6.25
J.K.Steels = (0.65/.11) = 5.19
λ max =(6.14+5.91+6.25+5.19+6.25+5.19)/ 6 = 6.062
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.062-6)/(6-1))
= .012
RI = 1.24(for n= 6)
CR = CI/RI = .012/ 1.24 = .001 (CR< 0.1 OK).
63
Supplier Based on Capital Investment:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 5 3 7 6 6 .44
Paripurnam .2 1 .5 5 3 3 .15
Thirupathi .33 2 1 6 3 4 .21
Mathav .14 .2 .17 1 .33 .25 .03
Lal Ganapathi .17 .33 .33 3 1 .25 .06
J.K.Steels .17 .33 .25 4 4 1 .1
Sum 2.01 8.86 5.25 26 17.33 14.5
Weighted sum vector:
WSV = 3.04
1.01
1.45
.21
.38
.66
Mahaveer = (3.04/ .44) = 6.85
Paripurnam = (1.01/.15) = 6.86
Thirupathi = (1.45/.21) = 6.91
Mathav = (.21/ .03) = 6.23
Lal Ganapathi = (0.38/.06) = 6.1
J.K.Steels = (0.66/.1) = 6.39
λ max =(6.85+6.86+6.91+6.23+6.1+6.39)/ 6 = 6.56
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.56-6)/(6-1))
= .112
RI = 1.24(for n= 6)
CR = CI/RI = .112/ 1.24 = .09 (CR< 0.1 OK).
64
Supplier Based on Attitude:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 5 3 7 6 6 .44
Paripurnam .2 1 .33 5 3 3 .14
Thirupathi .33 3 1 6 3 4 .23
Mathav .14 .2 .17 1 .33 .25 .03
Lal Ganapathi .17 .33 .33 3 1 .5 .07
J.K.Steels .17 .33 .25 4 2 1 .09
Sum 2.01 9.86 5.08 26 15.33 14.75
Weighted sum vector:
WSV = 2.99
.93
1.54
.21
.4
.53
Mahaveer = (2.99/ .44) = 6.74
Paripurnam = (.93/ .14) = 6.52
Thirupathi = (1.54/.23) = 6.81
Mathav = (.21/ .03) = 6.18
Lal Ganapathi = (0.4/.07) = 6.15
J.K.Steels = (0.53/.09) = 6.15
λ max =(6.74+6.52+6.81+6.18+6.15+6.15)/ 6 = 6.423
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.423-6)/(6-1))
= .085
RI = 1.24(for n= 6)
CR = CI/RI = .085/ 1.24 = .07 (CR< 0.1 OK).
65
Supplier Based on Impression:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 2 6 6 6 5 .41
Paripurnam .5 1 5 5 7 .5 .22
Thirupathi .17 .2 1 2 4 .25 .08
Mathav .17 .2 .5 1 3 .33 .06
Lal Ganapathi .17 .14 .25 .33 1 .17 .03
J.K.Steels .2 2 4 3 6 1 .2
Sum 2.21 5.54 16.75 17.33 27 7.25
Weighted sum vector:
WSV = 2.89
1.44
.49
.38
.21
1.41
Mahaveer = (2.89/ .41) = 7.14
Paripurnam = (1.44/.22) = 6.56
Thirupathi = (.49/ .08) = 6.28
Mathav = (.38/ .06) = 6.34
Lal Ganapathi = (0.21/.03) = 6.3
J.K.Steels = (1.41/.2) = 6.94
λ max =(7.14+6.56+6.28+6.34+6.3+6.94)/ 6 = 6.5899
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.5899-6)/(6-1))
= .118
RI = 1.24(for n= 6)
CR = CI/RI = .118/ 1.24 = .095 (CR< 0.1 OK).
66
Supplier Based on Reliability:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 .33 8 3 3 7 .25
Paripurnam 3 1 9 3 3 9 .39
Thirupathi .13 .11 1 .17 .2 2 .04
Mathav .33 .33 6 1 .33 6 .13
Lal Ganapathi .33 .33 5 3 1 6 .17
J.K.Steels .14 .11 .5 .17 .17 1 .03
Sum 4.93 2.21 29.5 10.34 7.7 31
Weighted sum vector:
WSV = 1.74
2.6
.22
.78
1.1
.17
Mahaveer = (1.74/ .25) = 6.84
Paripurnam = (2.6/ .39) = 6.69
Thirupathi = (.22/ .04) = 6.14
Mathav = (.78/ .13) = 6.18
Lal Ganapathi = (1.1/.17) = 6.62
J.K.Steels = (0.17/.03) = 6.29
λ max =(6.84+6.69+6.14+6.18+6.62+6.29)/ 6 = 6.459
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.459-6)/(6-1))
= .092
RI = 1.24(for n= 6)
CR = CI/RI = .092/ 1.24 =. 07 (CR< 0.1 OK).
67
Supplier Based on Culture:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 .5 3 3 5 .25 .16
Paripurnam 2 1 3 3 7 .33 .21
Thirupathi .33 .33 1 1 5 .2 .09
Mathav .33 .33 1 1 5 .2 .09
Lal Ganapathi .2 .14 .2 .2 1 .14 .03
J.K.Steels 4 3 5 5 7 1 .42
Sum 7.86 5.3 13.2 13.2 30 2.12
Weighted sum vector:
WSV = 1.04
1.4
.53
.53
.19
2.78
Mahaveer = (1.04/ .16) = 6.5
Paripurnam = (1.4/ .21) = 6.54
Thirupathi = (.53/ .09) = 6.17
Mathav = (.53/ .09) = 6.17
Lal Ganapathi = (0.19/.03) = 6.15
J.K.Steels = (2.78/.42) = 6.57
λ max =(6.5+6.54+6.17+6.17+6.15+6.57)/ 6 = 6.352
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.352-6)/(6-1))
= .07
RI = 1.24(for n= 6)
CR = CI/RI = .07/ 1.24 = .057 (CR< 0.1 OK).
68
Supplier Based on Capability of Supplier:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 4 9 6 6 5 .45
Paripurnam .25 1 7 5 5 3 .24
Thirupathi .11 .14 1 .2 .2 .14 .03
Mathav .17 .2 5 1 1 .33 .07
Lal Ganapathi .17 .2 5 1 1 .33 .07
J.K.Steels .2 .33 7 3 3 1 .14
Sum 1.9 5.87 34 16.2 16.2 9.8
Weighted sum vector:
WSV = 3.19
1.66
.16
.44
.44
.91
Mahaveer = (3.19/ .45) = 7.02
Paripurnam = (1.66/.24) = 6.96
Thirupathi = (.16/ .03) = 6.25
Mathav = (.44/ .07) = 6.15
Lal Ganapathi = (0.44/.07) = 6.15
J.K.Steels = (0.91/.14) = 6.51
λ max =(7.02+6.96+6.25+6.15+6.15+6.51)/ 6 = 6.511
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.511-6)/(6-1))
= .102
RI = 1.24(for n= 6)
CR = CI/RI = .102/ 1.24 = .08 (CR< 0.1 OK).
69
Supplier Based on Dimension:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 6 3 6 7 5 .47
Paripurnam .17 1 .33 .25 .5 .5 .05
Thirupathi .33 3 1 2 3 2 .18
Mathav .17 4 .5 1 .33 .5 .09
Lal Ganapathi .14 2 .33 3 1 2 .12
J.K.Steels .2 2 .5 2 .5 1 .1
Sum 2.01 18 5.66 14.25 12.33 11
Weighted sum vector:
WSV = 3.15
.32
1.21
.55
.8
.61
Mahaveer = (3.15/ .47) = 6.74
Paripurnam = (.32/.05) = 6.32
Thirupathi = (1.21/.18) = 6.67
Mathav = (.55/ .09) = 6.1
Lal Ganapathi = (0.8/.12) = 6.76
J.K.Steels = (0.61/.1) = 6.49
λ max =(6.74+6.32+6.67+6.1+6.76+6.49)/ 6 = 6.529
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.529-6)/(6-1))
= .106
RI = 1.24(for n= 6)
CR = CI/RI = .106/ 1.24 = .085 (CR< 0.1 OK).
70
Supplier Based on Communication System:
Pair wise comparison Metrics:
Criteria Mahaveer Paripurnam Thirupathi Mathav Lal
Ganapathi
J.K.Steels Relative
Priority
Mahaveer 1 2 6 7 8 5 .42
Paripurnam .5 1 5 5 7 .3 .21
Thirupathi .17 .2 1 2 2 .25 .07
Mathav .14 .2 .5 1 .3 .33 .06
Lal Ganapathi .13 .14 .5 .33 1 .17 .03
J.K.Steels .2 3 4 3 6 1 .14
Sum 2.14 6.54 17 18.33 27 7.08
Weighted sum vector:
WSV = 2.97
1.32
.41
.36
.2
1.56
Mahaveer = (2.97/.42) = 7.1
Paripurnam = (1.32/.21) = 6.28
Thirupathi = (.41/.07) = 6.33
Mathav = (.36/.06) = 6.34
Lal Ganapathi = (.2/.03) = 6.41
J.K.Steels = (1.56/.14) = 7.07
λ max =(7.1+6.28+6.33+6.34+6.41+7.07)/ 6 = 6.588
C.I = ((λ max – n)/(n-1)) (here n=6)
= ((6.588-6)/(6-1))
= .118
RI = 1.24(for n= 6)
CR = CI/RI = .118/ 1.24 = .095 (CR< 0.1 OK).
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