Six Sigma Submission

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    D M A I CDefine Measure Analyze Improve Control

    DDefine

    MMeasure

    A Analyze

    IImprove

    CControl

    Implementing Six Sigma Quality

    at Better Body Manufacturing

    Submitted By:

    Dipty Joshi u106016

    Harbir Singh u106019

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    D M A I CDefine Measure Analyze Improve Control

    Dimension DPM ASM_7Y 172475

    ASM_8Y 85824 ASM_3Y 19786

    ASM_9Y 3874 ASM_10Y 776

    ASM_6Y 4

    Overview

    ABC Incorporated (ABC) is not achieving Six Sigma quality levels for all criticalBody-Side Sub-Assembly dimensions as requested by their customers.

    Ensure that all critical body-side subassembly dimensions are within Six Sigmaquality levels of < 3.4 DPM. C p 2.0 and C pk 1.67.

    Change tonnage to > 935 to correct ASM_7Y and ASM_8Y Set clamp position to location 2 for ASM_9Y and ASM_10Y Re-machine A-pillar die to correct A_3Y and ASM_3Y

    Determined the correlation between body side and assembly dimensions. Evaluated the significance of Tonnage > 935 for ASM_7Y & ASM_8Y. Conducted a DOE for Clamp position for ASM_9Y & ASM_10Y.

    0

    50000

    100000

    150000

    200000

    A S M

    _ 7 Y

    A S M

    _ 8 Y

    A S M

    _ 3 Y

    A S M

    _ 9 Y

    A S M

    _ 1 0 Y

    A S M

    _ 6 Y

    DP M

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    D M A I CDefine Measure Analyze Improve ControlProblem Statement & The Goal

    ABC Incorporateds customer wants ABC to apply Six Sigma problem solving

    methodology to insure that the body side subassembly is achieving Six Sigma quality

    levels of less than 3.4 defects per million for all critical body side subassembly

    dimensions.

    ABC needs an improvement strategy that minimizes the rework costs while achieving the

    desired quality objective. ABCs goal is to produce module subassemblies that meet the

    customer requirements and not necessarily to insure that every individual stamped

    component within the assembly meets it original print specifications sub-system

    optimizations vs. local optimization.

    +

    +

    A-Pillar Reinforcement

    B-Pillar ReinforcementBody Side Outer

    +

    +

    A-Pillar Reinforcement

    B-Pillar ReinforcementBody Side Outer

    DDefine

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    D M A I CDefine Measure Analyze Improve ControlMeasure Phase

    Key Variables:

    Assembly process variables:

    Weld Pattern (density), Clamp Location, and Clamp Weld Pressure

    Stamping process variables (body side):

    Press Tonnage, Die Cushion Pressure, Material Thickness

    Body Assembly Dimensions ASM_1Y through ASM_10Y

    MMeasure

    4776

    172475

    85824

    19786

    3874

    0

    50000

    100000

    150000

    200000

    ASM_7Y ASM_8Y ASM_3Y ASM_9Y ASM_10Y ASM_6Y

    DPM

    Assembly Dimensions with Highest Defects

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    D M A I CDefine Measure Analyze Improve Control

    Resolution alternatives (based upon past experience):

    1. Make adjustments to assembly process settings

    2. Reduce variation of components through better control of stamping

    process input variables

    3. Rework stamping dies to shift component mean deviation that is offtarget and causing assembly defects

    Target Performance Level:

    All ten critical assembly dimensions at Six Sigma quality level of 3.4 DPM.

    C p 2.0 and C pk 1.67

    Fish Bone and P-Diagrams:

    Understanding potential causes of defects. From this we pick the assembly and

    component dimensions that require further analysis

    Analyze Phase

    A Analyze

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    D M A I CDefine Measure Analyze Improve Control

    For our analysis we will do a DOE to checkfor levels that contribute to better qualityproduct.

    Weld Pattern(density)

    ClampLocation

    Operator

    MachineMaterialsMethods

    Clamp WeldPressure

    PressTonnage

    Die CushionPressureMaterial

    Thickness

    Training

    YieldStrength

    ElasticLimit

    Environment

    Temperature

    Humidity

    Quality ComponentVariability

    InspectionProcess Gage R&R Body

    Assembly

    Analyze Phase

    A Analyze

    Body Side Sub-AssemblyStamping Process

    OutputsBody Side Sub-Assemblies at

    Six Sigma quality levels

    Control VariablesClamp Location Press TonnageWeld Density Die PressureClamp Pressure

    ErrorStates

    Dimensionaldefects

    Noise VariablesEnvironmentInherent Variation

    InputsMaterial Thickness

    Yield Strength

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    D M A I CDefine Measure Analyze Improve Control

    Analysis of ASM_7Y and ASM_8Y

    2 7 12

    0.0

    0.5

    1.0

    Subgroup Number

    A S M

    _ 7 Y

    Number of runsabout median:Expected number of runs:Longest runabout median:

    ApproxP-Value for Clustering: ApproxP-Value for Mixtures:

    Number of r uns up or down:Expected number of runs:Longest run up or down:

    Approx P-Value for Trends: Approx P-Value for Oscillation:

    4.000007.000005.000000.034640.96536

    6.000007.666673.000000.107780.89222

    Run Chart for ASM_7Y

    2 7 12

    0.0

    0.5

    1.0

    Subgroup Number

    A S M

    _ 8 Y

    Number of runs aboutmedian:Expected number of runs:Longest run aboutmedian:

    ApproxP-Value for Clustering: ApproxP-Value for Mixtures:

    Number of runs up or down:Expected number of runs:Longestrun up or down:

    Approx P-Value for Trends: Approx P-Value for Oscillation:

    4.000007.000005.000000.034640.96536

    8.000007.666672.000000.597810.40219

    Run Chart for ASM_8Y

    Analyze Phase A Analyze

    Conclusion: BS_7Y and ASM_7Y are following a similar trend.A correlation chart to study this further shows high correlation.(Pearson correlation, R of 0.701).

    0.0 0 .5 1.0

    0.0

    0.5

    1.0

    AS M_8 Y

    A S M

    _ 7 Y

    XY Plot of ASM_8 Y and ASM_7Y

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    D M A I CDefine Measure Analyze Improve ControlAnalyze Phase A Analyze

    -0.8 -0.6 -0.4 -0.2 0.0 0.2 0.4 0.6 0.8

    LSL USL

    USLTargetLSLMeanSample NStDev (Within)StDev (Overall)

    CpCPUCPLCpk

    Cpm

    Pp

    PPUPPLPpk

    PPM< LSL

    PPM> USLPPMTotal

    PPMUSLPPMTotal

    PPMUSLPPMTotal

    0.70 *

    -0.70 0.11

    360.07881220.0791215

    2.962.503.432.50

    *

    2.95

    2.493.412.49

    0.00

    0.000.00

    0.00

    0.000.00

    0.00

    0.000.00

    Process Data

    Potential (Within) Capability

    Overall Capability ObservedPerformance Exp."Within" Performance Exp. "Overall" Performance

    Within

    Overall

    Capability of B_7Y

    -1.0 -0.5 0.0 0.5 1.0 1.5 2.0

    LSL USL

    USLTargetLSLMeanSample NStDev (Within)

    StDev (Overall)

    CpCPUCPLCpk

    Cpm

    PpPPUPPLPpk

    PPM< LSLPPM> USLPPMTotal

    PPMUSLPPMTotal

    PPMUSLPPMTotal

    0.700000 *

    -0.700000 0.899444

    360.149640

    0.383691

    1.56-0.44 3.56-0.44

    *

    0.61-0.17 1.39-0.17

    0.00666666.67666666.67

    0.00908706.09908706.09

    15.33698400.06698415.39

    Process Data

    Potential ( Within) Capability

    Overall Capability ObservedPerformance Exp."Within" Performance Exp. "Overall" Performance

    Within

    Overall698416 DPM0 DPM

    0.5 1.0 1.5

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1.0

    1.1

    1.2

    1.3

    AS M_7 Y

    B S

    _ 7 Y

    Conclusion: B_7Y has 0 ppm compared to ~700KDPM in BS_7Y.

    Furthermore, BS_7Y shows strong correlation ondimension ASM_7Y. (Pearson correlation, R of

    0.786).

    Capability of BS_7Y

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    D M A I CDefine Measure Analyze Improve Control

    9 0 5 9 1 5 9 25 93 5 9 4 5

    0 .5

    1 .0

    1 .5

    To n n a g e

    B S

    _ 7 Y

    XY Plot of Tonnage vs. BS_7Y

    Conclusion: Tonnage values above 935 greatly improves BS_7Y and brings it closerto the mean. Lets see what impact this has on ASM dimensions 7Y, 8Y, 9Y, and10Y by creating a subset of the data looking only at Tonnage > 935.

    Analyze Phase A Analyze

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    D M A I CDefine Measure Analyze Improve ControlAnalyze Phase A Analyze

    -1. 0 - 0. 5 0 .0 0. 5 1. 0

    L S L U S L

    C a p a b i l it y A n a l y s i s o f A S M _ 7 Y a t To n n a g e > 9 3 5

    US LTa rg e tLS LM e a nS a m p l e NS t D e v ( Wi t h i n )S t D e v ( O v e r a l l)

    CpCP UCP LCp k

    Cp m

    PpPP UPP LPp k

    P P M < L S LP P M > U S LP P M To t a l

    P P M < L S LP P M > U S LP P M To t a l

    P P M < L S LP P M > U S LP P M To t a l

    1 . 0 0 *

    - 1 . 0 0 0 . 0 9

    1 20 . 1 63 1 7 40 . 1 47 8 5 5

    2 . 0 41 . 8 62 . 2 31 . 8 6

    *

    2 . 2 52 . 0 52 . 4 62 . 0 5

    0.000.000.00

    0 . 0 00 . 0 10 . 0 1

    0 . 0 00 . 0 00 . 0 0

    P r o c e s s D a t a

    P o t e n t i a l ( Wi t h i n ) C a p a b i l i t y

    O ve rall Ca pab il it y O bs erv ed Pe rfo rm an c e E xp . "Wi th in" Perf orm anc e E xp . "O ve rall" Pe rf orm an c e

    Wi t h i n

    O v e r a ll

    -1. 0 - 0. 5 0 .0 0. 5 1. 0

    L S L U S L

    C a p a b i l i ty A n a l y s i s o f A S M _ 8 Y a t To n n a g e > 9 3 5

    US LTa rg e tLS LM e a nS a m p l e NS t D e v ( Wi t h i n )S t D e v ( O v e r a l l)

    CpCP UCP LCp k

    Cp m

    PpPP UPP LPp k

    P P M < L S LP P M > U S LP P M To t a l

    P P M < L S LP P M > U S LP P M To t a l

    P P M < L S LP P M > U S LP P M To t a l

    1 . 0 0 0 0 0 *

    - 1 . 00 0 0 0- 0 . 12 8 3 3

    1 20 . 1 01 8 2 50 . 0 89 1 6 1

    3 . 2 73 . 6 92 . 8 52 . 8 5

    *

    3 . 7 44 . 2 23 . 2 63 . 2 6

    0.000.000.00

    0 . 0 00 . 0 00 . 0 0

    0 . 0 00 . 0 00 . 0 0

    P r o c e s s D a t a

    P o t e n t i a l (Wi t hi n ) C a p a b i l i t y

    O ve rall C a pab il it y O bs erv ed Pe rfo rm a nc e E xp . "W i th in" Perf orm anc e E xp . "O ve rall" Pe rf orm a nc e

    Wi t h i n

    O v e r a l l

    -1. 0 -0. 5 0 . 0 0 .5 1. 0

    L S L US L

    C a p a b i l it y A n a l y s i s o f A S M _ 9 Y a t To n n a g e > 9 3 5

    US LTa rg e tLS LM e a nS a m p l e NS t D e v ( Wi t h i n )S t D e v ( O v e r a l l)

    CpCP UCP LCp k

    Cp m

    PpPP UPP LPp k

    P P M < L S LP P M > U S LP P M To t a l

    P P M < L S LP P M > U S LP P M To t a l

    P P M < L S LP P M > U S LP P M To t a l

    1 . 0 0 0 0 0 *

    - 1 . 00 0 0 0 0 . 5 2 0 8 3

    1 20 . 2 06 0 1 00 . 1 77 0 9 8

    1 . 6 20 . 7 82 . 4 60 . 7 8

    *

    1 . 8 80 . 9 02 . 8 60 . 9 0

    0.00 0.00 0.00

    0 . 0 01 0 0 1 0 . 7 71 0 0 1 0 . 7 7

    0 . 0 0 3 4 0 8 . 5 1 3 4 0 8 . 5 1

    P r o c e s s D a t a

    P o t e n t i a l ( Wi t h i n ) C a p a b i l i t y

    O ve rall Ca pab il it y O bs erv ed Pe rfo rm an c e E xp . "Wi th in" Perf orm anc e E xp . "O ve rall" Pe rf orm an c e

    Wi t h i n

    O v e r a ll

    -1. 0 -0 . 5 0. 0 0. 5 1 .0

    L S L US L

    C a p a b i li ty A n a l y s i s o f A S M _ 1 0 Y a t To n n a g e > 9 3 5

    US LTa rg e tLS LM e a nS a m p l e NS t D e v ( Wi t h i n )S t D e v ( O v e r a l l)

    CpCP UCP LCp k

    Cp m

    PpPP UPP LPp k

    P P M < L S LP P M > U S LP P M To t a l

    P P M < L S LP P M > U S LP P M To t a l

    P P M < L S LP P M > U S LP P M To t a l

    1 . 0 0 *

    - 1 . 0 0 0 . 3 9

    1 20 . 2 15 5 4 10 . 1 87 6 6 3

    1 . 5 50 . 9 42 . 1 50 . 9 4

    *

    1 . 7 81 . 0 82 . 4 71 . 0 8

    0.00 0.00 0.00

    0 . 0 02 3 2 6 . 7 22 3 2 6 . 7 2

    0 . 0 0 5 7 6 . 0 0 5 7 6 . 0 0

    P r o c e s s D a t a

    P o t e n t i a l (Wi t hi n ) C a p a b i l i t y

    O ve rall C a pab il it y O bs erv ed Pe rfo rm a nc e E xp . "W i th in" Perf orm anc e E xp . "O ve rall" Pe rf orm a nc e

    Wi t h i n

    O v e r a l l

    Conclusion: Setting Tonnage to greater than 935 resulted in ASM_7Y and ASM_8Ymeeting the goal of

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    D M A I CDefine Measure Analyze Improve Control

    DOE for Response Variable ASM_9Y

    DOE factorial analysis shows Clamp Position is the only significant factor in

    determining ASM_9Y dimension

    DOE Response Optimization for ASM_9Y

    Set Clamp Position to Location 2 (level 1) Optimizer recommends setting Weld Density to 1.33 weld per inch (level 1),

    but this appears to be a robust parameter, which could be changed for the benefit

    of process without reducing quality if processing time or cost shows a benefit.

    Optimizer recommends setting Clamp Pressure to 2100 psi (level 1), but this

    appears to be a robust parameter, which could be changed for the benefit of process

    without reducing quality if processing time or cost shows a benefit.

    Run additional tests at recommended settings to confirm results

    Weld Density and Clamp Pressure are robust parameters and can be set to optimize

    the process capability to maximum level and lowest cost.

    Analyze Phase A Analyze

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    D M A I CDefine Measure Analyze Improve ControlAnalyze Phase A Analyze

    DOE for Response Variable ASM_10Y

    DOE factorial analysis shows Clamp Position is also the only significant

    factor in determining ASM_10Y dimension

    DOE Response Optimization for ASM_10Y Setting clamp to location 2 also improves ASM_10Y

    Recommend same settings used to improve ASM_9Y to improve process

    capability which also allows for no changes to machine setup and helps reduce

    possible process concerns

    Run additional tests at recommended settings to confirm results Weld Density and Clamp Pressure are robust parameters and can be set to optimize

    the process capability to maximum level and lowest cost.

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    D M A I CDefine Measure Analyze Improve Control

    DOE for Response Variable ASM_3Y

    DOE factorial analysis shows that no factors are significant

    Response Optimization shows no solution for response optimizer

    Observe Process Capability of A_3Y and BS_3Y

    ASM_3Y and A_3Y have a similar mean shift in the -Y direction

    Correlation of Output Variables No dimensional correlations appear to exist between ASM_3Y and

    A_3Y or BS_3Y

    Stepwise Regression Analysis of BS_3Y Tonnage and Die Pressure appear to be significant in determining

    dimension BS_3Y Tonnage values < 920 may improve BS_3Y

    Die Pressure appears to have no clear correlation to BS_3Y

    Analyze Phase A Analyze

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    D M A I CDefine Measure Analyze Improve Control

    Process Capability of BS_ 3Y and ASM_3Y at Tonnage < 920

    Created subset of body data looking only at dimensions with Tonnage < 935

    Tonnage < 920 appears to improve the mean of BS_3Y slightly, but has noimpact on improving the mean of ASM_3Y.

    -1.0 -0.5 0.0 0.5 1.0

    LSL USL

    Capability Analysis of ASM_3Y

    USL

    TargetLSL

    MeanSample N

    StDev (Within)

    StDev (Overall)

    Cp

    CPUCPL

    Cpk

    Cpm

    Pp

    PPUPPL

    Ppk

    PPM USLPPM Total

    PPM < LSL

    PPM > USLPPM Total

    PPM < LSL

    PPM > USLPPM Total

    1

    *-1

    036

    0.0851436

    0.0971725

    3.91

    3.913.91

    3.91

    *

    3.43

    3.433.43

    3.43

    0.00

    0.000.00

    0.00

    0.000.00

    0.00

    0.000.00

    Process Data

    Potential (Within) Capability

    O ve rall C apab il it y Obs erved P er fo rma nce Exp . "Wi th in" P erf or manc e Exp . "O ve rall" P erf orma nce

    Within

    Overall

    Die remachined to move mean +0.80

    Capability of A_3Y and ASM_3Y with +0.80 mmmean offset

    Manipulate data for A_3Y and ASM_3Y

    by +0.80 mm to simulate re-machining

    Process capability shows 0 defects forA_3Y and ASM_3Y with this mean offset

    Analyze Phase A Analyze

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    D M A I CDefine Measure Analyze Improve ControlAnalyze Phase A Analyze

    Conclusions

    From the analysis of ASM_7Y and ASM_8Y we can conclude that:

    Setting tonnage > 935 results in ASM_7Y and ASM_8Y meeting the goal

    Analyzing ASM_9Y and ASM_10Y helps determine that:

    Setting clamp position to location 2, weld density to 1 weld every 1.33

    and clamp pressure to 2000 psi helps with dimensions ASM_9Y and

    ASM_10Y

    Analyzing ASM_3Y helps us conclude that:

    Re-machine A-Pillar die to move A_3Y to nominal which could cause

    BS_3Y to shift towards nominal effectively shifting ASM_3Y to nominal

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    D M A I CDefine Measure Analyze Improve Control

    With the recommended changes the process performance will improve significantlyDimension Mean StDev

    OverallDPM_Obsv DPM_Within DPM_Exp P p P pk Cp Cpk

    ASM_1Y -0.035 0.165 0 0 0 2.01 1.94 2.47 2.39

    ASM_2Y 0.259 0.152 0 0 1 2.20 1.63 2.31 1.71

    ASM_3Y 0.000 0.097 0 0 0

    ASM_4Y 0.009 0.115 0 0 0 2.90 2.87 3.53 3.50

    ASM_5Y -0.330 0.145 0 0 2 2.30 1.54 3.72 2.50

    ASM_6Y -0.284 0.160 0 1 4 2.08 1.49 2.24 1.60

    ASM_7Y 0.090 0.148 0 0 0 2.25 2.05 2.04 1.86

    ASM_8Y -0.128 0.089 0 0 0 3.74 3.26 3.27 2.85

    ASM_9Y 0.521 0.180 0 0 0

    ASM_10Y 0.395 0.191 0 0 0

    A AnalyzeAnalyze Phase

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    D M A I CDefine Measure Analyze Improve Control

    Recommendations for improving the process:

    Set Tonnage to above 935 to improve ASM_7Y & ASM_8Y

    Set Clamp to Location 2 to improve ASM_9Y & ASM_10Y

    Re-machine the A-Pillar die to move the mean of A_3Y to nominal which in turnwill move ASM_3Y to nominal

    Implement the above recommendations and run additional samples to verify results.

    IImproveImprove Phase

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    D M A I CDefine Measure Analyze Improve ControlControl Phase CControl

    Recommended controls :

    Implement a gauge on the body side component press to monitor tonnage

    Implement an alarm and shut-off feature on the body side press if tonnage

    falls below 935 tons

    Implement poke-yoke clamping fixture that ensures clamp is always in

    Position 2

    Establish an affordable control plan for ongoing monitoring of the 10

    critical assembly dimensions.

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    D M A I CDefine Measure Analyze Improve ControlSummary

    ABC Incorporated is not achieving Six Sigma quality levels for all critical Body-Side Sub-Assembly dimensions as requested by their customers. BBM needs toapply Six Sigma problem solving methodology to establish an improvement strategythat minimizes rework costs, yet achieves the desired quality objective.

    Implement a gauge on the body side component press to monitor tonnage Implement an alarm & shut-off feature on body side press if tonnage falls below 935 Implement poke-yoke clamping fixture that ensures clamp is always in Position 2 Establish control plan for ongoing monitoring of the 10 critical assembly dimensions.

    Set Tonnage to above 935 to improve ASM_7Y & ASM_8Y Set Clamp to Location 2 to improve ASM_9Y & ASM_10Y Re-machine the A-Pillar die to move the mean of A_3Y to nominal

    Bring the key process output variables within Six Sigma quality level of < 3.4 DPM.C p 2.0 and C pk 1.67