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6 SIGMA: THE SEARCH 6 SIGMA: THE SEARCH FOR AND CONTROL OF XFOR AND CONTROL OF X
Michael W. PiczakMichael W. PiczakDipl.T., B.Comm., MBADipl.T., B.Comm., MBA
University of BuffaloUniversity of Buffalo
May 2003May 2003
WHO IS USING IT?WHO IS USING IT? MOTOROLAMOTOROLA GENERAL ELECTRICGENERAL ELECTRIC TEXAS INSTRUMENTSTEXAS INSTRUMENTS SONYSONY LOCKHEED-MARTINLOCKHEED-MARTIN RAYTHEONRAYTHEON CAMCOCAMCO BOART LONGYEARBOART LONGYEAR ALLIED SIGNALALLIED SIGNAL CRANE VALVESCRANE VALVES
GOALS OF 6 SIGMAGOALS OF 6 SIGMA
Defect reductionDefect reduction Yield improvementYield improvement Improved customer satisfactionImproved customer satisfaction Higher net incomeHigher net income Cost reductionCost reduction Process improvement and optimizationProcess improvement and optimization Bottleneck relief Bottleneck relief
2 ROADS TO PROFITABILITY2 ROADS TO PROFITABILITY
FIXING BELIEFFIXING BELIEF
Method of tenacityMethod of tenacity Method of authorityMethod of authority Method of reasoningMethod of reasoning Method of scienceMethod of science
6 SIGMA: IN GOLFING PERSPECTIVE6 SIGMA: IN GOLFING PERSPECTIVE
6 sigma quality levels amount to 3.4 defects 6 sigma quality levels amount to 3.4 defects per million or 99.999966% good.per million or 99.999966% good.
2 sigma = missing 6 putts per round2 sigma = missing 6 putts per round 3 sigma = missing 1 putt per round3 sigma = missing 1 putt per round 4 sigma = missing 1 putt every 9 rounds4 sigma = missing 1 putt every 9 rounds 5 sigma = missing 1 putt every 2.33 years5 sigma = missing 1 putt every 2.33 years 6 sigma = missing 1 putt every 163 years6 sigma = missing 1 putt every 163 years* based on 100 rounds per year* based on 100 rounds per year
PROBLEM SOLVING PROBLEM SOLVING TOOLS AND MODELSTOOLS AND MODELS
MICHAEL W. PICZAKMICHAEL W. PICZAKDIPL.T., B.COMM., MBADIPL.T., B.COMM., MBA
MARCH 2002MARCH 2002
Traditional Problem Traditional Problem Solving Models…Solving Models…
Piczak, Piczak, 19951995
NARROW VS. BROAD NARROW VS. BROAD CONCEPTUALIZATIONCONCEPTUALIZATION
AS QUALITY PROGRAM AS QUALITY PROGRAM
OROR
STAND ALONE OPERATIONS STAND ALONE OPERATIONS RESEARCH METHODOLOGYRESEARCH METHODOLOGY
AS QUALITY PROGRAMAS QUALITY PROGRAM
Improvement Process
Basic Components
Quality Initiatives
Enabling Initiatives and Tools
Improvement ToolsQuality Measurement
1 . D e fine P roduc ts and S e rv ices2 . Iden tify C us tom er R equ irem en ts3 . C om pare P roduc t w ith R equ irem en ts4 . D esc ribe the P rocess5 . Im prove the P rocess6 . M easure Q ua lity and P roduc tiv ity
1 . S e lf D irec ted W ork T eam s2 . S ho rt-cyc le M anu fac tu ring3 . D es ign fo r M anu fac tu re4 . B enchm ark ing5 . S ta tis tica l P rocess C on tro l6 . S upp lie r Q ua lifica tion
1 . O ld M e trics - p rocess m ean ( ) ands tandard dev ia tion ( )2 . C apab ility Index C p , C pk3 . N ew M e trics - de fec ts pe r un it (dpu ), de fec ts pe r m illion un its (dpm u)4 . C os t o f Q ua lity S tud ies
1 . Q ua lity F unc tion D ep loym en t2 . F low cha rts3 . P are to C harts4 . H is tog ram s5 . C ause-and-E ffec t D iag ram s6 . E xperim en ta l D es ign7 . G uage R & R
QUALITY INITIATIVESIMPROVEMENT
PROCESS
IMPROVEMENT TOOLSQUALITY
MEASUREMENT
6 SIGM A
Motorola’s 6 Sigma ProgramMotorola’s 6 Sigma Program
AS STAND ALONE OPERATIONS AS STAND ALONE OPERATIONS RESEARCH METHODOLOGYRESEARCH METHODOLOGY
WHO IS THE ENEMY?WHO IS THE ENEMY?
VARIATIONVARIATION
WHAT ARE WE REACHING FOR?WHAT ARE WE REACHING FOR?
PRIMARY SOURCES OF VARIATIONPRIMARY SOURCES OF VARIATION
Inadequate design marginInadequate design margin Unstable parts and materialUnstable parts and material Insufficient process capabilityInsufficient process capability
WHERE TO FOCUS?WHERE TO FOCUS?
For each product or process critical to quality For each product or process critical to quality (CTQ):(CTQ):
MeasureMeasure AnalyzeAnalyze ImproveImprove ControlControl
GENESIS OF 6 SIGMAGENESIS OF 6 SIGMA
DefineRequirements and
Set Targets
Measure ResultsAgainst Targets
AnalyzeDifferences
Between Targetsand Results
Recommend andImplement
Improvements
ELEMENT 1ELEMENT 1
PORTER’S 5 FORCES MODELPORTER’S 5 FORCES MODEL
PEST MODELPEST MODEL
VOICE OF THE CUSTOMERVOICE OF THE CUSTOMER
2 Brands of customers2 Brands of customersinternalinternalexternalexternal
Voice of the Voice of the customercustomer
DESCRIBE THE PROCESSDESCRIBE THE PROCESS
M1 R N
R efe r to phys ic iano rder OR respond to
ca ll be ll re : P R N
$2033 .05 A 121G et na rco tics keys ifnecessary and take
cart to room
$4062 .45 A 122W ake res iden t &
repos ition by e leva tinghead o f bed , ad jus ting
pos ition (e .g . fla t onback)
$10157 .95 A 123
P our m ed ica tion , se lec ttab le ts o r c rush in to
app lesauce & g ive tores iden t
$2033 .05 A 124 Low er head o f bed &repos ition com fo rtab ly
$10157 .95 A 125 D ocum ent rec iep t o r
re fusa l o f m ed ica tion inN urs ing N o tes , M A R SS hee t & R eport S hee t
$2033 .05 A 126
IdentifiedR x N eed
O bta inedK eys/C hart
P reparedR es ident
A dm in is teredM edication
R e-pos itionedR es ident
I1M onitored
R es ident
C1 P rofess iona l G u ide lines C2 H osp ita l P o lic ies & P rocedures
M2 R P N
O 1R esident C areP rov ided
O 2A dm in is teredM edication
IMPROVING THE PROCESSIMPROVING THE PROCESS
EliminationElimination SimplificationSimplification CombinationCombination ReuseReuse Parallel processingParallel processing SubcontractingSubcontracting
CRITICAL EXAMINATIONCRITICAL EXAMINATION
NO NEW PROBLEMS PLEASENO NEW PROBLEMS PLEASE
Poka Yoke techniquesPoka Yoke techniques• guide pinsguide pins
• templatestemplates
• limit switcheslimit switches
• limited computer screen fieldslimited computer screen fields
• checklistschecklists
• interconnectsinterconnects
GETTING BETTER?GETTING BETTER?
The need to measure in quantitative The need to measure in quantitative terms importantterms important
ISO/QS9000 demands it in terms of ISO/QS9000 demands it in terms of quality and effectivenessquality and effectiveness
• customer satisfactioncustomer satisfaction• quality levels (# non-conformances, dpu, dpmo)quality levels (# non-conformances, dpu, dpmo)• cycle timescycle times• die change timesdie change times
ELEMENT 2: MEASUREMENTELEMENT 2: MEASUREMENT
Quality Measurement
1 . O ld M etrics - p rocess m ean ( ) ands tandard dev ia tion ( )2 . C apab ility Index C p , C pk3 . N ew M e trics - de fec ts pe r un it (dpu ), de fec ts pe r m illion un its (dpm u)4 . C os t o f Q ua lity S tud ies
OLD METRICSOLD METRICS
Measures of central tendency or Measures of central tendency or typicality (mean, median, mode)typicality (mean, median, mode)
Measures of dispersion (range, variance, Measures of dispersion (range, variance, standard deviation)standard deviation)
THE NORMAL DISTRIBUTIONTHE NORMAL DISTRIBUTION
A KEY FORMULAA KEY FORMULA
NORMAL CURVE CHARACTERISTICSNORMAL CURVE CHARACTERISTICS
ContinuousContinuous SymmetricalSymmetrical Tails asymptotic to zeroTails asymptotic to zero Bell shapedBell shaped Mean = median = modeMean = median = mode Total area under curve = 1Total area under curve = 1
VISUALIZING VARIATIONVISUALIZING VARIATION
PROCESS CAPABILITYPROCESS CAPABILITY
PROCESS CAPABILITY IIPROCESS CAPABILITY II
CpkCpk
CAPABILITY ST & LTCAPABILITY ST & LT
Cp LONG TERM (LT)Cp LONG TERM (LT)
ST to LTST to LT
NEW METRICSNEW METRICS
dpudpu dmpodmpo
A CAVEAT A CAVEAT ABOUT DPMOABOUT DPMO
JURAN’S COSTS OF QUALITY JURAN’S COSTS OF QUALITY
Prevention Appraisal
D iscre tionary C os ts
InternalNon-conform ance
ExternalNon-conform ance
C onsequentia l C os ts
C osts O f Q ua lity
ELEMENT 3: QUALITY INITIATIVESELEMENT 3: QUALITY INITIATIVES
Quality Initiatives
1 . S e lf D irec ted W ork T eam s2 . S ho rt-cyc le M anu fac tu ring3 . D es ign fo r M anu fac tu re4 . B enchm ark ing5 . S ta tis tica l P rocess C on tro l6 . S upp lie r Q ua lifica tion
SDWTsSDWTs
From Quality Progress, From Quality Progress, October 1996October 1996
LITERATURE IDENTIFIED BENEFITSLITERATURE IDENTIFIED BENEFITS
Productivity Productivity 15% -250% 15% -250%
All employees can perform all tasksAll employees can perform all tasks
Costs Costs 30% 30%
Cycle time Cycle time 50%-90% 50%-90%
Inventory Inventory 66% 66%
Rework due to engineering flaws Rework due to engineering flaws 50% 50%
BENEFITS CONT’DBENEFITS CONT’D
Late jobs Late jobs 1000% 1000%
Quality Quality
Recurring defective product problems Recurring defective product problems 10% 10%
Return on investment/sales Return on investment/sales
BENEFITS CONT’DBENEFITS CONT’D
Sales Sales 830% 830%
Operating statistics improved by 25-40%Operating statistics improved by 25-40%
Accounts receivable Accounts receivable from 66 days to 51 from 66 days to 51 daysdays
Corporate overhead Corporate overhead from $100M to from $100M to $24M$24M
Accidents Accidents 72% 72%
SHORT CYCLE MFG.SHORT CYCLE MFG.
SMEDSMEDautomated & computerized inspectionautomated & computerized inspection X and moving range control chartsX and moving range control charts automated systems automated systems
(MAPs/CAD/CAM/flexible mfg., etc.)(MAPs/CAD/CAM/flexible mfg., etc.) flexible, self directed work forceflexible, self directed work force
DFMDFM
group technologygroup technology accessibility of different parts & areasaccessibility of different parts & areas ease of workpiece handlingease of workpiece handling ergonomic principlesergonomic principles safety requirementssafety requirements appearanceappearance QFDQFD
BENCHMARKINGBENCHMARKING
more than just organized tourismmore than just organized tourism more than just a nice walk over at a more than just a nice walk over at a
friend’s plantfriend’s plant not industrial espionagenot industrial espionage not a one way channel of communicationnot a one way channel of communication inside and outside of your industryinside and outside of your industry
THE ALCOA SEQUENCETHE ALCOA SEQUENCE
SPCSPC
using numbers to describe absence or using numbers to describe absence or presence of a phenomenonpresence of a phenomenon
systematic gathering of datasystematic gathering of data using a collection of analytics that using a collection of analytics that
promote common understanding and promote common understanding and profound knowledge (Deming)profound knowledge (Deming)
emphasis is on measurementemphasis is on measurement
STATISTICSSTATISTICS
CollectingCollecting OrganizingOrganizing SummarizingSummarizing AnalyzingAnalyzing PresentingPresenting
THE ANALYST’S DUTYTHE ANALYST’S DUTY
start with a regularity, uniformity or curiositystart with a regularity, uniformity or curiosity identify all previously significant predictors of identify all previously significant predictors of
phemon in questionphemon in question theorize as to why independent variables (X’s) theorize as to why independent variables (X’s)
should be predictive of dependent variables (Y)should be predictive of dependent variables (Y) tease out the key X’s that impact Y and control tease out the key X’s that impact Y and control
samesame
ELEMENT 4: IMPROVEMENT TOOLSELEMENT 4: IMPROVEMENT TOOLS
Voice of the Voice of the customercustomer
Flowchart For Classic Problem SolvingFlowchart For Classic Problem Solving
Don’t Mess With It!
YES NO
YES
YOU IDIOT!
NO
Will it Blow UpIn Your Hands?
NO
Look The Other Way
Anyone ElseKnows? You’re F*@~#D!
YESYES
NO
Hide ItCan You Blame Someone Else?
NO
NO PROBLEM!
Yes
Is It Working?
Did You Mess With It?
PARETO ANALYSISPARETO ANALYSIS
HISTOGRAMSHISTOGRAMS
CAUSE & EFFECT DIAGRAMS & CARDSCAUSE & EFFECT DIAGRAMS & CARDS
SYSTEMATIC CAUSES OF VARIATIONSYSTEMATIC CAUSES OF VARIATION
Lack of preventative maintenanceLack of preventative maintenance Worn toolsWorn tools Operator performanceOperator performance Environmental changesEnvironmental changes Sorting practicesSorting practices MaterialsMaterials Measurement SystemMeasurement System
SELECTION OF RESPONSE VARIABLE (Y)
CHOICE OF FACTORS (Xi’s), LEVELS, RANGES
RECOGNITION OF & STATEMENT OF PROBLEM
CHOICE OF EXPERIMENTAL DESIGN
PERFORMING EXPERIMENT
STATISTICAL ANALYSIS OF DATA
CONCLUSIONS, RECOMMENDATIONS, NEXT STEPS
NASA DATA & REGRESSION LINENASA DATA & REGRESSION LINE
'O' RING EROSION x TEMPERATURE
-20-10
0102030405060
0 25 50 75 100
Launch Temperature (F.)
Ero
sio
n D
epth
(t
ho
usa
nd
ths)
REGRESSION ANALYSISREGRESSION ANALYSIS
ALWAYS LOOK AT THE DATA FIRSTALWAYS LOOK AT THE DATA FIRST
AS STAND ALONE OPERATIONS AS STAND ALONE OPERATIONS RESEARCH METHODOLOGYRESEARCH METHODOLOGY
THE HUNT FOR XTHE HUNT FOR X
6 SIGMA: OLD WINE OUT 6 SIGMA: OLD WINE OUT OF NEW BOTTLES?OF NEW BOTTLES?
RANKING BY USE OF PARETO PRIORITY INDEX (PPI)
PROJECT SAVINGS PROBABILITY COST TIME PPI(K$) (K$) (YEARS)
A 100 0.7 10 2 3.5
B 50 0.7 2 1 17.5
C 30 0.8 1.6 0.25 60
D 10 0.9 0.5 0.5 36
E 1.5 0.6 1 0.1 9
DUPONT’S PPIDUPONT’S PPI
3 KINDS OF STATISTICS3 KINDS OF STATISTICS
Descriptive Descriptive InferentialInferential PredictivePredictive
GE’s MAICGE’s MAIC
JURAN’s 6 SIGMA PROGRAMJURAN’s 6 SIGMA PROGRAM
Xs, Ys, and Zs of DOEXs, Ys, and Zs of DOE
SELECTION OF RESPONSE VARIABLE (Y)
CHOICE OF FACTORS (Xi’s), LEVELS, RANGES
RECOGNITION OF & STATEMENT OF PROBLEM
CHOICE OF EXPERIMENTAL DESIGN
PERFORMING EXPERIMENT
STATISTICAL ANALYSIS OF DATA
CONCLUSIONS, RECOMMENDATIONS, NEXT STEPSCLASSIC DOECLASSIC DOE
6 SIGMA TRAINING TERMINAL 6 SIGMA TRAINING TERMINAL PERFORMANCE OBJECTIVESPERFORMANCE OBJECTIVES
As a result of taking this program, the participant As a result of taking this program, the participant will be able to:will be able to:
Appreciate the scope of 6 Sigma practices in Appreciate the scope of 6 Sigma practices in context of other company initiativescontext of other company initiatives
Apply a variety of tools to solve problemsApply a variety of tools to solve problems
T.P.O.s CONTINUED...T.P.O.s CONTINUED...
Participate as a contributing member of Participate as a contributing member of a continuous improvement or problem a continuous improvement or problem solving teamsolving team
Use Minitab as a data analysis toolUse Minitab as a data analysis tool
PEDAGOGICAL APPROACHPEDAGOGICAL APPROACH
LectureLecture Discussion, debate and argumentDiscussion, debate and argument VideosVideos Hands-on exercises using general and Hands-on exercises using general and
company specific examplescompany specific examples
A BASIC RESEARCH PARADIGMA BASIC RESEARCH PARADIGM
Select the operation to be analyzedSelect the operation to be analyzed Explicate key variables a prioriExplicate key variables a priori Gather data on key X’s and Y’sGather data on key X’s and Y’s Enter data and edit sameEnter data and edit same Verify data integrity via Look, Counts, Describe, Verify data integrity via Look, Counts, Describe,
Scatter DiagramScatter Diagram Run DescriptivesRun Descriptives Generate other graphs & charts of dataGenerate other graphs & charts of data GR&Rs, regressions, ANOVAs, DOEs, GR&Rs, regressions, ANOVAs, DOEs,
THE JOURNEYTHE JOURNEY
Most companies presently at 3-4 sigmaMost companies presently at 3-4 sigma The move is toward 6 sigma (Cp = 2)The move is toward 6 sigma (Cp = 2) Literature has references to 12 sigma Literature has references to 12 sigma
(Cp = ?)(Cp = ?)Tinnerman-Pallnut is at 50 ppb on Tinnerman-Pallnut is at 50 ppb on
selected product linesselected product lines
6 SIGMA: THE SEARCH 6 SIGMA: THE SEARCH FOR AND CONTROL OF XFOR AND CONTROL OF X
Michael W. PiczakMichael W. PiczakDipl.T., B.Comm., MBADipl.T., B.Comm., MBA