2-01 six sigma roadmap
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Defect / VariationDefect / VariationReduction RoadmapReduction Roadmap
==The Six SigmaThe Six Sig
maMethodologyMethodolog
y
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Example: Identify the process settings required to eliminate theneed to grade bearings
Y = f (x)Y = f (x)
Key Process InputVariables (Xs)
Key Process OutputVariables (Ys)
Surface Finish
CleanlinessHardness
Ovality
Waviness
Assembly Machine
Lubrication
ProcessProcess
BearingBearing
PerformancePerformance
NoiseLevel
Critical
toCustoCusto
mermer
Characterization of Process
What causes the Noise & the Variation in the Noise Level ????
Example of a Process with Variation
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Positional variation (on the same part):Variation within a partVariation within a batch or set-up
Variation within machine positionVariation in measurement system
Cyclical variation (repeating pattern):Different process settings or adjustments by
operator or shiftMaterial differences Supplier changesTool or machine wear and repair or replacementSorting practicesMaintenance schedule
Temporal variation (over time):Day to Day or Week to Week output from a
processSet-up to Set-up for machines or jigsShift to ShiftSeason to Season (due to temperature or
humidity)
Taking the total process variation apart into its components is essential to
understanding and prioritizing the elimination of significant sources and
controlling those that remain.
Different Components of Variation
A
B
1
C
2
D
now
E
later
F
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Define
Measure
Analyze
Improve
Control
Continuously
repeat andimprove!
No complacencywith success!
The Six Sigma Methodology
DMAIC
ProcessCharacterization
ProcessOptimization
OpportunityIdentification
The 5 phases of the Six Sigma Methodology
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Defect / Variation Reduction Roadmap
Define Measure Analyze Improve Control
A. Identify ProjectKPOVs & KPIVs
Deliverables:
1) IdentifyCustomer(s)
2) IdentifyProject Key ProcessOutput Variables(KPOVs)
3) Identify the
Key Process InputVariables (KPIVs)that effect theKPOVs.
B. DevelopTeam Charter
Deliverables:
1) Develop TheBusiness Case
2) Develop TheProblem and GoalStatements
3) DetermineProject Scope
4) Select Team& Define Roles
5) Set ProjectMilestones
C. DefineProcess Map
Deliverables:
1) High LevelProcess MapConnecting theCustomer to theProcess
2) Summary ofDefine Phase
Tools:
sProcess Mapping
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Defect / Variation Reduction Roadmap
Define Measure Analyze Improve Control
1. Select KPOVCharacteristics
Deliverable:
IdentifyMeasurable Key ProcessOutput Variable (KPOV)that will be Improved
Tools:
sQuality FunctionDeployment (QFD)
sProcess Mapping
sCause & Effect Diagram
sFMEA
sDiscrete vs. Contin. Data
2. Define Perfor-mance Standards
Deliverable:
Determineand ConfirmSpecification Limitsfor your Y.
3. MeasurementSystem Evaluation
Deliverables:
1)MeasurementSystem Adequate toMeasure Y
2) Summary of Measure Phase.
Tools:
sContinuous GageR&R
sTest / Retest
sAttribute Gage R&R
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Defect / Variation Reduction Roadmap
Define Measure Analyze Improve Control
5. Define Perfor-mance Objectives
Deliverable:
StatisticallyDefine the Goal of theProject
Tools:
sBenchmarking
4. EstablishProcess Capability
Deliverable:
BaselineCurrent Process
Tools:
sBasic statistics
sGraphical Analysis
sSampling
sContinuous Zst, ZltsNormality
sDiscrete Zst, Zlt
6. Identify VariationSources
Deliverable:
List ofStatistically SignificantXs, Chosen Based onAnalysis of HistoricalData
Tools:
sProcess Analysis
sGraphical Analysis
sHypothesis Testing
sRegression Analysis
sANOVA
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Defect / Variation Reduction Roadmap
Define Measure Analyze Improve Control
8. Discover VariableRelationships
Deliverables:
1) Establish TransferFunction Between Yand Vital Few Xs.
2) Determine OptimalSetting for the VitalFew Xs.
3) Perform Confirmation
Runs.
Tools:
sDOE, FactorialDesigns
7. Screen PotentialCauses
Deliverable:
Determinethe Vital Few XsThat Are CausingChanges in Y.
Tools:
sScreening Design of
Experiments (DOE)
9. Establish OperatingTolerances
Deliverable:
SpecifyTolerances on theVital Few Xs.
Tools:
sSimulation
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Defect / Variation Reduction Roadmap
Define Measure Analyze Improve Control
11. DetermineProcess Capability
Deliverables:
1) DeterminePost-ImprovementCapability andPerformance
2) Confirm that the ImprovementGoal has beenrealized
s
Tools:
sSee Step 4
10.Define and ValidateMeasurem. System
Deliverable:Measurement Systemis Adequate toMeasure Xs in theActual Application
Tools:
sSee Step 3
s
12.ImplementProcess Control
Deliverable:
Develop andImplement ProcessControl Plan
Tools:
sFMEA
sPoka-Yoke
s
5-SsTraining / Certification
sStat. Process Control
sStd. Work Processes
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Example Process Map
KPIVs
Dimension of ballsHardness of ballsCleanliness ballsLot sizeType of Bakelite wheelCondition of wheelType of Bakelite plateCondition of plate
Type of coolantTemperature coolantDilution of coolantPollution of coolantAmount of coolantType of infeed plateCondition of infeed plateType of outfeed plate
Condition of outfeed platePressure wheel & plateRotating speed wheelElapsed time
KPOVsDiameter of balls
Distribution ofdiameterOvality of ballsWaviness of ballsSurface of ballsCleanliness of ballsM
achine
is
lapp
ingballs
Operator loads 1 lot into 2ndlapping machine & starts themachine for 1st part of cycle
Op. assures proper ball infeed
Op. checks ball diameter
Op. sets machine for 2nd part of cycle
Op. stops the machine
Op. unloads the machine
Op. measures ovality &waviness and checks surface
& cleanliness of balls
Op. measures distribution of ball dia
Op. checks ball diameter
Op. checks ball diameter
NVA
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NVA
NVA
NVA
NVA
NVA
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Data
Data
Data
Data
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These tools are utilized to characterize the process, that is, to understand
the behavior of process outputs (Y) given specific values of inputs (X).
This type of study investigates the process in its natural operating
state (no artificially induced variation, such as with Design of
Experiments).
Correlation provides a graphical analysis and mathematical tool with which
we can quantify the degree or extent of the relationship between twovariables.
The degree of linear association between two variables is quantified
by the correlation coefficient r.
Regression can be used as a means of obtaining prediction equations (not
necessarily linear).These equations can be used to predict the output variable (Y)
based on a certain input variable (X).
Correlation and Regression
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Multi-Variate is a graphical tool, which through logical
sub-grouping, allows the analysis of input effects onprocess outputs.
Data is collected while the process is in its natural state.
The goal of this analysis is to narrow the field of the trivial many
inputs, to only the critical few.
Categories of sub-groups are typically as follows:
Positional: variation within a part
Cyclical: variation between parts
Temporal: variation over time
Multivariate Analysis
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Hypothesis testing allows us to answer the practical question: "Is
there a real or significant difference between process #1 and process#2, or output from scenario #1 and output from scenario #2 such that
the difference is too large to be attributed to chance?
The following examples illustrate some potential uses of this test:
Is there a real difference between Machine A and Machine B?
Is there a relationship between the number of defective parts andthe manufacturing method?
Does a particular gage create more or less defects using aspecific test method?
Has the process change obtained the desired change inperformance?
Based on our sample, is the actual proportion of defective partsconsistent with the supplier's claim of 0.1%?
Hypothesis Testing
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The basic idea of this procedure is to split the total variability of theresponse variable (the variability of all observations) into blocks
that relate to different processes, suppliers, shifts, or input
categories, etc.
The analysis provides graphical as well as quantitative measures ofwhether significant statistical differences exists between process
output for different input variables.
ANOVA - Analysis of Variance
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In general, DOE is a controlled, active variation of a process toidentify optimum settings or procedures for improved productquality.
More specifically, it is a systematic method where a number offactors (input variables) are changed simultaneously following apredetermined pattern, in order to investigate main effects as well
as their interactions.
DOE allows for more information to be gained from less trial runsthan traditional one factor at a time experimentation methods.
Design of Experiments (DOE)
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Phase Step Description Focus Tools Deliverables
Define A Identify Project KPOVs & KPIVs Project KPOVs & KPIVs
B Develop Team Charter Approved Charter
C Define Process Map Process Mapping High Level Process Map
Measure 1 Selec t KPOV Charac teris tics Y Customer,QFD,FMEA, Process Mapping, Cause
& Effect Diagram, Discrete vs. Continuous Data
Project Y
2 Define Performance Standards Y Customer, Blueprints Performance Standard for
Project Y
3 Measurement System Analysis Y Cont inuous Gage R&R, Tes t/Retes t, At tribute R&R Data Collec tion P lan & MSE,
Data for Project Y
Analyze 4 Establish Process Capability Y Basic statistics, Graphical Analysis, Sampling,
Continuous Zst / Zlt, Normality, Discrete Zst / Zlt
Process Capability for Project Y
5 Define Performance Objectives Y Team, Benchmarking Improvement Goal for Project Y
6 Identify Variation Sources X Process Analysis, Graphical Analysis, Hypothesis
Tests, Regression Analysis, ANOVA
Prioritized List of all Xs
Improve 7 Screen Potential Causes X DOE-Screening List of Vital Few Xs
8 Discover Variable Relationships X DOE, Factorial Designs Proposed Solution
9 Establish Operating Tolerances Y, X Simulation Piloted Solution
Control 10 Define & Validate Measurement
System on Xs in Actual Application
Y, X Continuous Gage R&R, Test/Retest, Attribute R&R MSE
11 Determine Process Capability Y, X Bas ic s tat ist ics, Graphical Analysis , Sampling,
Continuous Zst / Zlt, Normality, Discrete Zst / Zlt
Process Capability Y, X
12 Implement Process Control X FMEA, Poka-Yoke, 5-S,Training / Certification,
Stat. Process Control, Std. Work Processes
Sustained Solution,
Documentation
Six Sigma Roadmap, Summary