Swami NatarajanSeptember 15, 2015 RIT Software Engineering Seven Basic Quality Tools.
Basic Quality Control Tools
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Transcript of Basic Quality Control Tools
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The Tools of Quality
Dr. Rathanraj K J
Professor, BMSCE
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Improving the System
“The objective of the system is tosatisfy the cstomer!.
“" quality system ses thebsiness mo#e$ %ith a focs onthe cstomer an# inc$#es
#ynamics of contina$im&rovement, chan'e, &$annin',an# rene%a$!.
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Quality System Model
Customer
Procedures
Legal
Req’ts
R&D
Technology
People
Plant &
Equipment
R e n
e w a l
C h a n
g e
P
l a n n i n g
C o n t i n u a l
I m p r o v e m
e n t
Adapted from S.
Thomas Foster
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Quality System Model
The variab$es an# re$ationshi&s of the
(a$ity system are an interconnecte#
net%or) that interact to achieve an en#.
Peo&$e are the most im&ortant as&ect
of the system.
*o% &eo&$e are mana'e# is im&ortant
in re$easin' an or'ani+ations &otentia$.
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Basic 7 (B7) Tools of Qualityig
Picture
Data
!nalysis
Data
Collection
Pro"lem
Identi#icationPrioriti$ation
%low
Chart
Chec
'heet
(isto)
grams
'catter
Plots
Control
Charts
Cause
E##ect
Pareto
!nalysis
Adapted from S.
Thomas Foster
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Flowcharts
- ra&hic re&resentation of system
or &roce#re f$o%
-Can be se# for both macro an#micro $eve$ &rocesses
- Promotes system n#erstan#in'
an# %i$$ i#entify 'a&s in &roce#ra$
$o'ic
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Flowcharting Steps
- "'ree on a stan#ar# set ofsymbo$s
- C$ear$y commnicate &r&ose ofthe f$o%chart
- /bserve the %or)0 sha#o% the%or)ers
- Deve$o& f$o%chart of the &rocess- Revie% %ith the em&$oyees an#
a#jst as necessary.
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Flowcharts
- 1$o%charts
2 ra&hica$ #escri&tion of ho% %or) is
#one.
2 3se# to #escribe &rocesses that are to
be im&rove#.
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Flow iagrams
4 Dra% a f$o%chart for %hatever yo
#o. 3nti$ yo #o, yo #o not )no%
%hat yo are #oin', yo jst have a
job.!
55 Dr. 6. E#%ar#s Demin'.
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Flowchart
"ctivity
Decision7es7es
8o8o
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Flowchart
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Flow iagrams
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Flow iagrams
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!hec" Sheets
Chec) Sheets 2 tab$ar or schematic#ata 'atherin' too$s se# to formhisto'rams an# other 'ra&hs
To set & a chec) sheet9:. ;#entify common #efects occrrin' in the
&rocess.
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- The format for recor#in' a$$ the
necessary information to e>ecte
&reventive &$ans an# to enab$e
#eve$o&ment of strate'ies for
im&rovement, common$y )no%n
as Data Sheet, ?o' Boo),
;ns&ection Recor#, Sche#$e ofEn(iry has been terme# chec)
sheet in this conte>t.
!hec" Sheets
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!hec" Sheet #$ample
Pro"lem Type
Set& rotines
not stan#ar#i+e#
Missin' e(i&ment
for set&
1ai$re to se&arate
interna$ an# e>terna$
tas)s
E>tensive machineresettin' an# &a&er
chan'e
/ther
M o n # a
y
T e s # a
y
6 e # n e
s # a y
T h r s #
a y
1 r i # a y
T o t a $
Adapted from S.
Thomas Foster
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!%&T#&TS %F ' !#! S##T
- Identity &artic$ars to enab$e traceability $i)e or'ani+ation, #ate,
&roject, cstomer, s&&$ier, s&ecifications, batch or $ot nmber, asa&&$icab$e.
- "ssociate# hman resorce an# E(i&ments if any
- ;n&t@sA, im&$yin' consm&tion of resorces of a$$ )in#s %ith
&ertinent #etai$s of their (antity an# a$$ie# &arameters $i)e &rity or
stren'th or si+e as the case may be.- Process &arameters
- Environmenta$ &arameters of concern if any
- Metho# of sam&$in', sam&$e si+e, fre(ency of sam&$in'
- ;ns&ection an# test faci$ities se# or avai$e#
- ;ns&ection an# test metho#, $east cont or visa$ stan#ar#s a#a&te#- Corres&on#in' ot&t@sA %ith #etai$s of &arameters of interest
- ;n#ices or a&&ro&riate fnctions of observations ma#e
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'ttri*ute Inspection
"n i$$strative chec) sheet for an attribte #ata
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+aria*le Inspection
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,ac"ing ,rocess " ty&ica$ chec) sheet for $ist of items to be &ac)e# an# or #is&atche#
to a cstomer sch as a stan#ar# $ist of s&ares accom&anyin' amachine too$ as accessories
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-or" Sampling Study
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' specimen chec" sheet for recording
Feed *ac" from !ustomers
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' specimen chec" sheet for setting
approval
k≤2
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istograms
*isto'rams 2 bar chart 'ra&hica$re&resentation of #ata, a$so se# toobserve the sha&e of #ata
R$es for #eve$o&in' histo'rams9 6i#th of bars mst be consistent
C$asses mst be mta$$y e>c$sive an#
a$$5inc$sive R$e of thmb for the nmber of c$asses9
nk ≤2
2log/lognk =
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istograms (cont.)
n nmber of ra% #ata va$es
k nmber of c$asses
3sin' this form$a, %e fin#9
2log/lognk ≥
Number of Observations Number of Classes
9 to 16 4
17 to 32 5
33 to 64 6
65 to 128 7
129 to 256 8
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istogram #$ample
Reference9
?ab :, C;T =
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istogram of weight of ta*lets in grams
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istogram (It is called Bar !hart/ when applied to
attri*ute data) showing fre0uency of non1
conforming *o**ins in samples of si2e 34 each.
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istogram of honing angle of shaving *lades.
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!ause1and1#ffect iagrams
Case5an#5Effect Dia'rams 2 se# tomove to $o%er $eve$s of abstraction inso$vin' &rob$ems
".K.".9 ;shi)a%a Case5an#5Effect or1ishbone or ;shi)a%a Dia'ram
1ish s)e$eton sha&e, the &rob$em is thehea#, major cases are the ribs, sb5cases form sma$$er bones of the ribs
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!ause1and1#ffect (cont.)
1ishbone #ia'rams create# #rin'brainstormin' %ith these ste&s9
:. State the &rob$em c$ear$y as the hea#.
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Fish*one iagram #$ample
Ref9 http://courses.bus.ualberta.ca/orga432reshe!/!ishbone.html
http://www.smartdraw.com/examples/pert/groupsculpture.htmhttp://www.smartdraw.com/examples/pert/groupsculpture.htm
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!ause and #ffect diagram of nonconforming
thic"ness of coating
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!ause and #ffect diagram of slag
inclusion in a cast iron product
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!ause and effect diagram of a thermos flas" failing
to pass the temperature retention test.
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!ause and effect diagram for preparation of tasty
tea
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Improved version of the cause and effect diagram
for preparation of tasty tea
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!ause and effect diagram of performance
of a team in a game of sport
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!ause and effect diagram for national status on
0uality in the world mar"et
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,areto ,rinciple
- i$fre#o Pareto @:5:H
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,areto !harts
Pareto Charts 2 se# to i#entify
an# &rioriti+e &rob$ems to be
so$ve#
*isto'rams ai#e# by the
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,areto !harts (cont.)
R$es for constrctin' Pareto
charts9 ;nformation mst be se$ecte# base#
on ty&es or c$assifications of #efectsthat occr as a res$t of a &rocess.
Data mst be co$$ecte# an#
c$assifie# into cate'ories. " histo'ram or fre(ency chart is
constrcte# sho%in' the nmber of
occrrences.
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,areto !harts (cont.)
Ste&s se# in Pareto "na$ysis9
:. atherin' cate'orica$ #ata re$atin'
to (a$ity &rob$ems.
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S%M# #5'M,6#S
Tab$e Sho%in' 8atre, 1re(ency an# Ran) of 8on5conformity.
/r'anisation9 /R Pro#ct9 PR/ Month9 M/7R
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Tab$e Sho%in' Ran), Percent fre(ency an# &ercent cases.
/r'anisation9 /R Pro#ct9 PR/ Month9 M/7R
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,areto iagram of nonconforming *atches of an
adhesive
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eavy #lectrical ,lant
Tab$e Sho%in' case %ise &ercent contribtion to
nonconformities amon' Trbine B$a#es
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,areto analysis of nonconformities among Tur*ine
Blades
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Scatter iagrams
Scatter P$ots @Dia'ramsA 2 se# toe>amine re$ationshi&s bet%eenvariab$es
Ste&s for settin' & a scatter &$ot9:. Determine x @in#e&en#entA an# y
@#e&en#entA variab$es
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Scatter iagram #$ample
..H:.:.:*"served+alue5
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Figure S owing relations ip *etween initial
and final setting times of cement
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!%MM%&6 %BS#8+# S!'TT#8
I'98'MS
%igure 'howing scatter diagrams indicating no
worthwhile relationship/
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Figure S owing scatter diagrams indicating
wea" linear relations ips
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Figure S owing scatter diagrams indicating
strong linear and curvilinear relations ips
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!ontrol !harts
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!ontrol !harts
Contro$ Charts 2 se# to #etermine if a
&rocess %i$$ &ro#ce a &ro#ct or
service %ith consistent measrab$e
&ro&erties
N an# R charts are se# to'ether, an#
are ca$c$ate# from the same ra% #
Contro$ Charts 2 se# to #etermine if a
&rocess %i$$ &ro#ce a &ro#ct or
service %ith consistent measrab$e
&ro&erties
N an# R charts are se# to'ether, an#
are ca$c$ate# from the same ra% #ata
5 d 8 !h t # l
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5 and 8 !hart #$amples
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Control Charts
!ontrol chart functions
- Contro$ charts are #ecision5ma)in'too$s 5 they &rovi#e an economic basisfor #eci#in' %hether to a$ter a &rocessor $eave it a$one
- Contro$ charts are &rob$em5so$vin'too$s 5 they &rovi#e a basis on %hich toform$ate im&rovement actions
- SPC e>&oses &rob$ems0 it #oes notso$ve themO
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Control Charts
!ontrol charts
- Contro$ charts are &o%erf$ ai#s to
n#erstan#in' the &erformance of
a &rocess over time.
PROCESSPROCESS
Input Output
What’s causing variability?
! t l h t id tif
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Control Charts
!ontrol charts identify
variation- Chance cases 5 “common case!
2 inherent to the &rocess or ran#om an# not
contro$$ab$e
2 if on$y common case &resent, the &rocess
is consi#ere# stab$e or “in contro$!
- "ssi'nab$e cases 5 “s&ecia$ case!
2 variation #e to otsi#e inf$ences
2 if &resent, the &rocess is “ot of contro$!
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Control Charts
!ontrol charts help us learn more
a*out processes
- Se&arate common an# s&ecia$
cases of variation
- Determine %hether a &rocess is in a
state of statistica$ contro$ or ot5of5contro$
- Estimate the &rocess &arameters
@mean, variationA an# assess the&erformance of a &rocess or its
ca&abi$ity
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Control Charts
!ontrol charts to monitor
processes
- To monitor ot&t, %e se a contro$ chart
2 %e chec) thin's $i)e the mean, ran'e,
stan#ar# #eviation
- To monitor a &rocess, %e ty&ica$$y se t%o
contro$ charts
2 mean @or some other centra$ ten#ency
measreA
2 variation @ty&ica$$y sin' ran'e or stan#ar#
#eviationA
!ontrol chart
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Control Charts
!ontrol chart
components
- Center$ine
2 sho%s %here the &rocess avera'e is
centere# or the centra$ ten#ency of
the #ata- 3&&er contro$ $imit @3C?A an#
?o%er contro$ $imit @?C?A
2 #escribes the &rocess s&rea#
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Control Charts
!ontrol chart for varia*les
- ariab$es are the measrab$emeasrab$e
characteristics of a &ro#ct or
service.
- Measrement #ata is ta)en an#
arraye# on charts.
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Control Charts
51*ar and 8 charts
- The N5bar chart 5 se# to #etect
chan'es in the mean bet"een
sb'ro&s
2 tests centra$ ten#ency or $ocationeffects
- The R chart 5 se# to #etect
chan'es in variation %ithinsb'ro&s
2 tests #is&ersion effects
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Control Charts
Step : efine the pro*lem
- 3se other (a$ity too$s to he$&
#etermine the 'enera$ &rob$em
thats occrrin' an# the &rocess
thats ss&ecte# of casin' it. 2 brainstorm sin' case an# effect
#ia'ram, %hy5%hy, Pareto charts,
etc.
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Control Charts
Step 3 Select a 0uality
characteristic to *e measured
- ;#entify a characteristic to st#y 5 for
e>am&$e, &art $en'th or any other
variab$e affectin' &erformance
2 ty&ica$$y choose characteristics %hichare creatin' (a$ity &rob$ems
2 &ossib$e characteristics inc$#e9 $en'th,
hei'ht, viscosity, co$or, tem&eratre,ve$ocity, %ei'ht, vo$me, #ensity, etc.
St ; !h * i
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Control Charts
Step ; !hoose a su*group si2e
to *e sampled
- Choose homo'eneos sb'ro&s
2 *omo'eneos sb'ro&s are &ro#ce#
n#er the same con#itions, by the same
machine, the same o&erator, the same mo$#,
at a&&ro>imate$y the same time.
- Try to ma>imi+e chance to #etect
#ifferences bet%een sb'ro&s, %hi$e
minimi+in' chance for #ifference %ith a'ro&.
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Control Charts
%ther guidelines
- The $ar'er the sb'ro& si+e, the moresensitive the chart becomes to sma$$
variations.
- This increases #ata co$$ection costs.
- Destrctive testin' may ma)e $ar'e
sb'ro& si+es infeasib$e.
- Sb'ro& si+es sma$$er than arent
re&resentative of the #istribtion avera'es.- Sb'ro&s over : sho$# se S chart.
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Control Charts
Step < !ollect the data
- Rn the &rocess ntoche# to 'ather
initia$ #ata for contro$ $imits.
- enera$$y, co$$ect
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Control Charts
Step = etermine trial
centerline
- The center$ine sho$# be the &o&$ation mean, µ
- Since it is n)no%n, %e se N #ob$e bar, or the
'ran# avera'e of the sb'ro& avera'es.
m
m
i
i∑=
= 1
X
X
St > t i t i l t l li it
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Control Charts
Step > etermine trial control limits
1 5*ar chart
- The norma$ crve #is&$ays the
#istribtion of the sam&$e avera'es.
- " contro$ chart is a time5#e&en#ent
&ictoria$ re&resentation of a norma$crve.
- Processes that are consi#ere# n#er
contro$ %i$$ have HH.G=L of their
'ra&he# avera'es fa$$ %ithin si>stan#ar# #eviations.
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Control Charts
?!6 6!6 calculation
deviationstandard
3XLCL
3XUCL
=
−=
+=
σ
σ
σ
t i i lt ti l f
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Control Charts
etermining an alternative value for
the standard deviation
m
m
i
i∑== 1R
R
R AXUCL2
+=
R AXLCL2
−=
Step 7 etermine trial control
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Control Charts
Step 7 etermine trial control
limits 1 8 chart
- The ran'e chart sho%s the s&rea# or#is&ersion of the in#ivi#a$ sam&$es %ithin
the sb'ro&.
2 ;f the &ro#ct sho%s a %i#e s&rea#,then the in#ivi#a$s %ithin the
sb'ro& are not simi$ar to each other.
2 E(a$ avera'es can be #eceivin'.
- Ca$c$ate# simi$ar to >5bar charts0
2 3se D= an# DD
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Control Charts
81*ar chart e$ceptions
- Becase ran'e va$es cannot be
ne'ative, a va$e of is 'iven for
the $o%er contro$ $imit of sam&$e
si+es of si> or $ess.
Step @ #$amine the process
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Control Charts
Step @ #$amine the process 1
Interpret the charts
- " &rocess is consi#ere# to be stab$e an# in a
state of contro$, or n#er contro$, %hen the
&erformance of the &rocess fa$$s %ithin the
statistica$$y ca$c$ate# contro$ $imits an#e>hibits on$y chance, or common cases.
!onse0uences of
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Control Charts
!onse0uences of
misinterpreting the process
- B$amin' &eo&$e for &rob$ems that they cannotcontro$
- S&en#in' time an# money $oo)in' for
&rob$ems that #o not e>ist
- S&en#in' time an# money on nnecessary
&rocess a#jstments
- Ta)in' action %here no action is %arrante#
- "s)in' for %or)er5re$ate# im&rovements%hen &rocess im&rovements are nee#e# first
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Control Charts
,rocess variation
- 6hen a system is sbject to on$ychance cases of variation, HH.G=L of
the measrements %i$$ fa$$ %ithin =
stan#ar# #eviations
2 ;f : sb'ro&s are measre#, HHG %i$$
fa$$ %ithin the si> si'ma $imits.
!h t
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Control Charts
!hart 2ones
- Base# on or )no%$e#'e of the norma$ crve, a
contro$ chart e>hibits a state of contro$ %hen9
2 T%o thir#s of a$$ &oints are near the center
va$e.
2 The &oints a&&ear to f$oat bac) an# forthacross the center$ine.
2 The &oints are ba$ance# on both si#es of the
center$ine.
2 8o &oints beyon# the contro$ $imits. 2 8o &atterns or tren#s.
Id tif i tt
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Control Charts
Identifying patterns
-Tren#s 2 stea#y, &ro'ressive chan'es in $eve$
- Chan'e, jm&, or shift in $eve$
- Rns 5 G &oints above or be$o%0 si>
increasin' or #ecreasin', c$sters
- Recrrin' cyc$es
- T%o &o&$ations
- Mista)es
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Control Charts
Step A 8evise the charts
- ;n certain cases, contro$ $imits arerevise# becase9
2 ot5of5contro$ &oints %ere inc$#e# in
the ca$c$ation of the contro$ $imits. 2 The &rocess is in5contro$ bt the
%ithin sb'ro& variation si'nificant$y
im&roves.
8 i i th h t
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Control Charts
8evising the charts
- ;nter&ret the ori'ina$ charts
- ;so$ate the cases
- Ta)e corrective action
- Revise the chart 2 /n$y remove &oints for %hich yo
can #etermine an assi'nab$e case
Step :4 'chie e the p rpose
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Control Charts
Step :4 'chieve the purpose
- /r 'oa$ is to #ecrease thevariation inherent in a &rocess over
time.
- "s %e im&rove the &rocess, thes&rea# of the #ata %i$$ contine to
#ecrease.
- a$ity im&rovesOO
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Process Capability
,rocess !apa*ility
efining process
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Process Capability
efining process
capa*ility
- Process ca&abi$ity refers to theabi$ity of the &rocess to meet the
s&ecifications set by the cstomer
or #esi'ner.
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Process Capability
,rocess capa*ility analysis
- /bjective is to #etermine ho% %e$$ theot&t from a &rocess meetss&ecification $imits
-Com&are tota$ &rocess variation an#to$erance.
LSL USL
-3σ +3σ arg!t
Individual values compared
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Process Capability
Individual values compared
with averages
- 6hen #istribtions of avera'es arecom&are# to #istribtions of in#ivi#a$
va$es, the avera'es are 'ro&e#
c$oser to the center va$e than are the
in#ivi#a$ va$es, as #escribe# by the
centra$ $imit theorem.
- 6hat #oes this im&$y for avera'es in
contro$ $imits verss in#ivi#a$ va$es ins&ecification $imitsI
#stimation of population sigma
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Process Capability
#stimation of population sigma
from sample data
- The re$ationshi& bet%een the stan#ar##eviation for in#ivi#a$ va$es an# the
stan#ar# #eviation for their avera'es is 'iven
by the form$a9
n x
σ
σ = Wh!r! n " subgr#up sa$pl! si%!
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Process Capability
To simplify calculation
- ;f the &rocess can be assme# to be norma$,the &o&$ation stan#ar# #eviation can beestimate# from either the stan#ar# #eviationassociate# %ith the sam&$e stan#ar#
#eviation or the ran'e9
d 2
R =∧
σ #r
c4
S=∧
σ
!ontrol limits and specification
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Process Capability
!ontrol limits and specification
limits
- Nbar charts #o not ref$ect ho% %i#e$ythe in#ivi#a$ va$es com&osin' the
&$ottin' avera'es s&rea#.
- The s&rea# can on$y be seen byobservin' %hat is ha&&enin' on the s
or r chart.
The Si$ sigma spread versus
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Process Capability
The Si$ sigma spread versus
specification limits
- Case ;9 Fσ Q 3S? 5 ?S?- Most #esirab$e0 in#ivi#a$ va$es fa$$ %ithin
s&ecification $imits
- Case ;;9 Fσ 3S? 5 ?S?- /)ay, as $on' as the &rocess remains in contro$
- Case ;;;9 Fσ 3S? 5 ?S?- 3n#esirab$e0 &rocess inca&ab$e of meetin'
s&ecifications
!alculating process capa*ility
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Process Capability
!alculating process capa*ility
indices
- Process ca&abi$ity in#ices9 ratiosthat (antify the abi$ity of a
&rocess to &ro#ce %ithin
s&ecifications
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& 7 (&7) T l f I t
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&ew 7 (&7) Tools for Improvement
1ocses on 'ro& &rocesses an##ecision ma)in'
Recommen#e# that the 8G too$s
be se# in a “cyc$e of activity,!
%herein on too$ &rovi#es in&ts to
another too$ @&.
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y y p
0nnown 1nown
LogicalCreative
!##inity Diagram
!ctivity -etwor
Diagram
Process Decision
Program Chart
2atri,
Diagram
Prioriti$ation
2atrices
Tree Diagram3
'ystem %low
Interrelationship
Diagraph
'ffinit iagrams
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'ffinity iagrams
"ffinity Dia'rams 2 creates a hierarchyof i#eas on a $ar'e srface
3sef$ to srface a$$ isses re$ate# to a&rob$em
*e$&s 'ro&s conver'e on a set
nmber of themes or i#eas
'ffinity iagram Steps
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'ffinity iagram Steps
:. ;#entify &rob$em. Create a c$ear,concise statement of the isse.
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'ffinity iagram Steps (cont.)
F. "$$ &artici&ants si$ent$y an# (ic)$ymove car#s into &i$es %ith simi$arthemes.
G. Do not #iscss #isa'reement on car#
&$acement, sim&$y move it.. /nce consenss @a$$ car#s in 'ro&s
an# car# movement has sto&&e#Acreate hea#er car#s.
H. Dra% finishe# affinity #ia'ram an#&rovi#e a %or)in' co&y for a$$&artici&ants.
'ffinity iagram #$ample
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Ref9
http://mot.vuse.van
derbilt.edu/mt322/#
!!inity.htm
Ref9
http://""".in!odesign.com.au/usab
ilityresources/general/a!!initydi agramming.asp
Interrelationship iagrams
http://www.flowbiz.com.au/flowbiz/products/charter/http://www.flowbiz.com.au/flowbiz/products/charter/http://www.flowbiz.com.au/flowbiz/products/charter/http://www.vanderbilt.edu/Engineering/CIS/Sloan/web/es130/quality/newtool.htmhttp://www.vanderbilt.edu/Engineering/CIS/Sloan/web/es130/quality/newtool.htmhttp://www.vanderbilt.edu/Engineering/CIS/Sloan/web/es130/quality/newtool.htmhttp://www.vanderbilt.edu/Engineering/CIS/Sloan/web/es130/quality/newtool.htmhttp://www.vanderbilt.edu/Engineering/CIS/Sloan/web/es130/quality/newtool.htmhttp://www.vanderbilt.edu/Engineering/CIS/Sloan/web/es130/quality/newtool.htmhttp://www.flowbiz.com.au/flowbiz/products/charter/http://www.flowbiz.com.au/flowbiz/products/charter/http://www.flowbiz.com.au/flowbiz/products/charter/
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Interrelationship iagrams
;nterre$ationshi& Dia'rams 2 sho%re$ationshi&s bet%een #ifferent
isses
*e$&f$ in i#entifyin' the most
im&ortant isse
Interrelationship iagram Steps
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:. P$ace car#s %ith re$ate# isses from
affinity #ia'ram in co$mns %ith 'a&sbet%een them.
amine car#s in#ivi#a$$y $oo)in' forisses case# or inf$ence# by the
isse. Dra% a one5%ay arro% fromthe “case! to the “one inf$ence# bythe case.! Re&eat nti$ a$$ isses#iscsse#.
=. Revie%, ma)e revisions, then contthe of arro%s &ointin' to each notean# %rite the s on the notes.
Interrelationship iagram Steps
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Interrelationship iagram Steps
. ;#entify car#s %ith the most arro%s as“)ey factors! @no more than to :A.Bo>es %ith severa$ arro%s a$tho'hnot )ey factors can be #ro&&e# at this
&oint. Bo>es %ith ot'oin' arro%sten# to be root cases, those %ithincomin' arro%s ten# to be&erformance in#icators.
. Dra% a #ob$e bo> aron# )eyfactors an# brainstorm %ays toa##ress these isses.
Interrelationship iagram #$ample
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Ref9
http://""".sm
artdra".com/t
utorials/bpm/
bpm$%.htm
Tree iagrams
http://www.smartdraw.com/tutorials/bpm/bpm13.htmhttp://www.smartdraw.com/tutorials/bpm/bpm13.htmhttp://www.smartdraw.com/tutorials/bpm/bpm13.htmhttp://www.smartdraw.com/tutorials/bpm/bpm13.htmhttp://www.smartdraw.com/tutorials/bpm/bpm13.htmhttp://www.smartdraw.com/tutorials/bpm/bpm13.htmhttp://www.smartdraw.com/tutorials/bpm/bpm13.htmhttp://www.smartdraw.com/tutorials/bpm/bpm13.htm
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Tree iagrams
Tree Dia'rams 2 sef$ to i#entify theste&s nee#e# to a##ress the &rob$em
Ste&s to com&$ete tree #ia'ram9
:. 1rom the affinity #ia'ram hea#er car#s,choose the most im&ortant isse.
haste# i#eas for ste&s.
Tree iagram #$ample
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Ref9
""".smartdra".com/resources/e&am les/business/or chart'.htm
,rioriti2ation 9rids
http://www.smartdraw.com/resources/examples/business/orgchart9.htmhttp://www.smartdraw.com/resources/examples/business/orgchart9.htmhttp://www.smartdraw.com/resources/examples/business/orgchart9.htmhttp://www.smartdraw.com/resources/examples/business/orgchart9.htm
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,rioriti2ation 9rids
Prioriti+ation ri# 2 se# to ma)e#ecisions base# on m$ti&$e criteria
Ste&s to com&$ete a &rioriti+ation 'ri#9:. Determine 'oa$, a$ternatives, an# criteria
to ma)e the #ecision %ith.
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,rioriti2ation 9rid Steps (cont.)
=. "&&$y &ercenta'e %ei'ht @tota$in' to:A to each of the criteria for each
o&tion.
. "## the in#ivi#a$ ratin' &er criterionto fi're overa$$ ran)in', #ivi#e by
of o&tions to fin# avera'e ran)in'.
. Ran) each o&tion %ith res&ect to
criteria, avera'e ran)in's, an# a&&$ya com&$ete# ran)in'.
,rioriti2ation 9rid Steps (cont )
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,rioriti2ation 9rid Steps (cont.)
F. M$ti&$y criteria %ei'ht by its assoc.criterion ran) for each criterion in thematri> @ is the best an# : the %orstA.Res$t in each ce$$ is ca$$e# an
“importance score.!G. "## im&ortance scores for each
a$ternative.
. Ran) a$ternatives accor#in' to
im&ortance
,rioriti2ation 9rid #$amples
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Ref9
http://""".smartdra".
com/tutorials/bpm/bpm
$3.htm
Matri$ iagrams
http://www.smartdraw.com/tutorials/bpm/bpm10.htmhttp://www.smartdraw.com/tutorials/bpm/bpm10.htmhttp://www.smartdraw.com/tutorials/bpm/bpm10.htmhttp://www.smartdraw.com/tutorials/bpm/bpm10.htmhttp://www.smartdraw.com/tutorials/bpm/bpm10.htmhttp://www.smartdraw.com/tutorials/bpm/bpm10.htm
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Matri$ iagrams
Matri> Dia'rams 2 brainstormin'too$s se# in a 'ro& to sho%
re$ationshi&s bet%een i#eas or
isses
Can be se# in t%o, three, or for
#imensions
Matri$ iagram Steps
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Matri$ iagram Steps
:. Determine the nmber of issesor #imensions to be se# in the
matri>.
.
=. P$ace the a&&ro&riate symbo$s in
the matri>, base# on the $e'en#.
Matri$ iagram #$ample
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Ref9http://""".vanderbil
t.edu/(ngineering/)I
*/*loan/"eb/es$3%/qu
ality/ne"tool.htm+ma
tri&
,rocess ecision ,rogram !harts
http://www.infodesign.com.au/usabilityresources/general/affinitydiagramming.asphttp://www.infodesign.com.au/usabilityresources/general/affinitydiagramming.asphttp://www.infodesign.com.au/usabilityresources/general/affinitydiagramming.asphttp://www.infodesign.com.au/usabilityresources/general/affinitydiagramming.asphttp://www.infodesign.com.au/usabilityresources/general/affinitydiagramming.asphttp://www.infodesign.com.au/usabilityresources/general/affinitydiagramming.asphttp://www.infodesign.com.au/usabilityresources/general/affinitydiagramming.asphttp://www.infodesign.com.au/usabilityresources/general/affinitydiagramming.asphttp://www.infodesign.com.au/usabilityresources/general/affinitydiagramming.asphttp://www.infodesign.com.au/usabilityresources/general/affinitydiagramming.asp
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,rocess ecision ,rogram !harts
Process Decision Pro'ram Charts 2 too$ to he$& brainstorm &ossib$econtin'encies or &rob$ems
associate# %ith theim&$ementation of some &ro'ramor im&rovement
Can be in either tree form orot$ine form
,, !hart Steps
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,, !hart Steps
:. P$ace the first $eve$ bo>es inse(entia$ or#er.
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Ref9
http://""".!lo
"bi,.com.au/!l
o"bi,/products
/charter
'ctivity &etwor" iagrams
http://mot.vuse.vanderbilt.edu/mt322/Affinity.htmhttp://mot.vuse.vanderbilt.edu/mt322/Affinity.htmhttp://mot.vuse.vanderbilt.edu/mt322/Affinity.htmhttp://mot.vuse.vanderbilt.edu/mt322/Affinity.htmhttp://mot.vuse.vanderbilt.edu/mt322/Affinity.htmhttp://mot.vuse.vanderbilt.edu/mt322/Affinity.htmhttp://mot.vuse.vanderbilt.edu/mt322/Affinity.htmhttp://mot.vuse.vanderbilt.edu/mt322/Affinity.htm
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'ctivity &etwor" iagrams
"ctivity 8et%or) Dia'rams 2 too$se# in contro$$in' &rojects
".K.".9 PERT @Pro'ram
Eva$ation an# Revie% Techni(eA
Dia'ram or Critica$5Path @$on'est
&ath in time from be'innin' toen#A Dia'ram
,#8T iagram #$ample
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