Six Sigma Submission
Transcript of Six Sigma Submission
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8/13/2019 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.
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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.
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A-Pillar Reinforcement
B-Pillar ReinforcementBody Side Outer
+
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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
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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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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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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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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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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