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    Company ConfidentialCopyright NN, Inc. 2004

    6

    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

    NVA

    NVA

    NVA

    NVA

    NVA

    NVA

    NVA

    NVA

    NVA

    VA

    Data

    Data

    Data

    Data

    Makethem

    apasniceor

    asuglyas

    youwant

    ,

    important

    isthatth

    e

    messagec

    omesacro

    ss!

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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