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Your Gateway to Business Excellence
Define Measure Analyze Improve Control
Process Optimization Using
Six Sigma Techniques
Your Gateway to Business Excellence
What is DMAIC ?
Define
Measure
Analyze
Improve
Control
“Many Potential Projects”
“Many Potential” Root Causes”
“Where are we now?”
“How do we sustain
the gains”
Single Project Selected
Project Baseline Measured
Root Causes Identified
And Verified
“What is the solution?”
Improvements Tested
and Measured
Self-Sustaining
Institutionalized
Process
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Your Gateway to Business Excellence
DMAIC - Define
Project Charter: Scope, Goals, Metrics
Quality Time Cost Growth
VALUE STREAM MAP/
PROCESS MAP
Voice of the
Business
(VOB)
Areas of Focus
Voice of the
Customer
(VOC)
S I P O C
Define The problem, measures and
process associated with the problem ,
quantify benefits and identify project
team.
• Define Customers and Requirements
(CTQs , VOC , VOB and Focus Area)
• Develop Problem Charter
(Scope/Goals and Key Metrics)
• Identify team members
• Develop Process Map
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Your Gateway to Business Excellence
• Process Map provides graphical representation of process flow.
• Provides visualization of the process and helps identify opportunities for improvement.
• Helps to identify the boundary of the process (start and end of the process).
SIPOC Chart
Inputs:
Process
•
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•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
Outputs: Customers:
Suppliers:
•
•
•
•
•
•
•
•
•
•
•
•
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Your Gateway to Business Excellence
Project Charter
• THE key document defining the objectives,
scope and financial impact of a Six Sigma
project.
• Elements in a Project Charter :
 Problem Statement
 Business Case
 Scope
 Critical to Quality / Voice of the Customer
 Goals
 Team Members
 Project Plan/Time line
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Your Gateway to Business Excellence
Write a project charter for the
selected improvement project.
Group Activity - Homework
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Your Gateway to Business Excellence
What Is a Measure?
• A quantified evaluation of characteristics.
• Examples include:
– Length of time (speed, age)
– Size (length, height, weight)
– Dollars (costs, sales revenue, profits)
– Counts of characteristics or “attributes” (types of
customer, property size, gender)
– Counts of defects (number of errors, late
checkouts, complaints)
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Your Gateway to Business Excellence
Collecting Data :
Data Collection Forms
• Check sheets are used to collect data
• Enhance ease of data collection
- Faster capture
- Consistent data from different people
- Quicker to compile data
• Need to be designed for each job
Week of: 6/26 Collected by: Kevin Regan
TV Smk Det Thrmstat RemCon Shower Window
30-Jun 8:00a EJS X X 10 min
28-Jun 8:15a MWT X 1 hr
27-Jun 7:00p MWT X 15 min
26-Jun 6:30p KLC X 2 hrs
28-Jun 5:45p PP X 30 min
30-Jun 6:00a KR X 40 min
1-Jul 8:15p DRT X 4 hrs Replaced part
1-Jul 8:20p ECS X 2 hrs Not in stock
28-Jun 9:35a MWT X 1 hr
29-Jun 9:40a KLC X 30 min
29-Jun 5:15p EJS X 45 min
29-Jun 5:20p KR X 15 min
Repair
Time
Notes
Repair Complaint
Call DateCall Time Initials
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Your Gateway to Business Excellence
Histograms
• A histogram is used to display the
distribution of a process data set.
How to construct a Histogram:
1) Segment the range of the data into equal
sized bins.
2) Vertical axis of the histogram labeled
frequency and horizontal axis of the
histogram labeled with the range of your
response.
3) Determine the number of data points that
reside within each bin.
Histogram
Frequency
103
102
101
100
99
98
40
30
20
10
0
Histogramof Histogram
Histogram
Frequency
103
102
101
100
99
98
40
30
20
10
0
Histogramof Histogram
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Your Gateway to Business Excellence
Group Activity - Homework
1) Finalize your data collection plan
2) Create your check sheet (if relevant)
3) Collect the data
4) Choose the relevant data displaying tool
for your collected data
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Your Gateway to Business Excellence
Lets review your homework
Group Activity - Homework
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Your Gateway to Business Excellence
• The normal distribution is the most recognized distribution in statistics.
• Many sources of data tend to follow the Normal Distribution or bell shaped curve.
• 99.73% of the area of the normal distribution is contained between -3 sigma and +3
sigma from the mean.
The Normal Distribution

 1


ƒ(x)

 2


 1


 2


 3
 
 3

68.26%
99.73%
95.46%
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Your Gateway to Business Excellence
Observation
Individual
Value
28
25
22
19
16
13
10
7
4
1
60
50
40
30
20
10
0
_
X=29.06
UCL=55.24
LCL=2.87
1
Control Chart of Recycle
Elements of Control Charts
Process Center
(usually the Mean)
Special Cause
Variation Detected
Control Limits
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Your Gateway to Business Excellence
Types of Variation
• Special Cause Variation
- It is non random and changes over time.
- It is usually caused by an force acting upon the
process from the outside.
• Common Cause Variation
- It is an inherent part of the process itself and
can only be changed by changing the process
itself.
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Your Gateway to Business Excellence
Common Cause Variation
• Some examples of common cause variation are:
– Machinery
Vibration of machines
Temperature fluctuations
Variability in material hardness
Web tension
Viscosity change
– Office
Experience of individual workers
Workers out sick
Internet server response time
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Your Gateway to Business Excellence
Process Capability
• Most measures have some target value and
acceptable limits.
• The extent to which the “expected” values fall
within these limits determines how capable
the process is of meeting its requirements.
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Your Gateway to Business Excellence
Group Activity - Homework
Calculate the process capability for
the metrics of your project.
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Your Gateway to Business Excellence
Cause and Effect Diagram
(Fishbone or Ishikawa)
• What
– Relationship between an effect
(problem) and its potential
causes. Categorizes causes.
– It uses verbal inputs in a team
environment.
Problem or
Condition
The Y
The X’s
(Causes)
l
Categories
Material Measurement Environment
People Machine Method
The
Problem
Cause and Effect Diagram
Problem or
Condition
The Y
The X’s
(Causes)
l
Categories
Material Measurement Environment
People Machine Method
The
Problem
Cause and Effect Diagram
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Your Gateway to Business Excellence
Group Activity
Create a cause and effect diagram for the factors that
affect the throwing distance of the catapult. Why
couldn’t you hit the 2 meters target accurately ?
Ex :
Pull back distance
Rubber elasticity
Measurement error
Time allocated = 15 minutes
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Your Gateway to Business Excellence
Session Format
• Introduction to Improve
• Exercise : Catapult
• Improve phase
• Improvement Action Plan
• Introduction to Control
• Process Control Plan
• Group activities
• Homework
• Project Closeout Checkpoints
• Project guidelines
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Your Gateway to Business Excellence
Exercise : The X Pult
Mission objective
To consistently hit the enemies at 2 meters accurately.
Exercise
1) Based on your root cause analysis , brainstorm and
come out with an improvement plan for your catapult .
2) Test it out and collect the data for 100 measurements.
3) Generate a revised X bar R bar with new control limits.
4) Calculate the new process capability index.
Time allocated = 1 hour
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Your Gateway to Business Excellence
Action Responsible Due % Complete
Action Plan Template
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Your Gateway to Business Excellence
Control
Implement controls to “sustain the gains”.
– Define and Validate Monitoring and Control
System
– Develop Standards and Procedures
– Implement Statistical Process Control
– Determine Process Capability
– Verify Benefits, Cost Savings/Avoidance, Profit
Growth
DMAIC - Control
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Your Gateway to Business Excellence
Process Control Plan
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Your Gateway to Business Excellence
Timeline for Project Commissioning, Project
Closeout Meetings and Validate Gate Review
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Your Gateway to Business Excellence
Project Guidelines (Cont)
Use the required competencies below as a
checklist for your Process Optimization project.
To successfully complete this unit of
competency, you should ensure that you
document as many activities as possible using
the templates provided.
Your coach will guide you through the process.
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Your Gateway to Business Excellence
Tools and Templates
1. SIPOC Map
2. Project Charter
3. X bar R chart (Excel file)
4. Process capability (Excel file)
5. Data collection plan
6. Cause and effect diagram
7. 5 Why analysis
8. Improvement action plan
9. Process control plan
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Your Gateway to Business Excellence
Lets review your homework
Group Activity - Homework
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Your Gateway to Business Excellence
Assessment Time
• Please hand copies of your completed
project forms and presentations to your
coach for assessing.
• If you need assistance, please ask
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Your Gateway to Business Excellence
Appendix :Control Chart Selection Tree
TYPE OF DATA
Poisson Distribution
Count or Classification
(Attribute Data)
Count
Defects or
Nonconformance
Fixed
Opportunity
C Chart
Variable
Opportunity
U Chart
Classification
Defectives or
Nonconforming Units
Fixed
Opportunity
NP Chart
Variable
Opportunity
P Chart
Subgroup
Size of 1
I-MR
Subgroup
Size < 8-10
Xbar & R
Subgroup
Size > 8-10
Xbar & S
Measurement
(Variable Data)
Binomial Distribution Normal Distribution/Central Limit Theorem
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Your Gateway to Business Excellence
Appendix : Process in Control ?
A. One or more points falls outside of the (UCL) or (LCL).
B. Two out of three successive points fall in the area that is beyond two standard deviations.
C. Four out of five successive points fall in the area that is beyond one standard deviation.
D. A run of six or more points that are all either successively higher or successively lower.
E. If eight or more points fall on either side of the mean.
F. 15 points in a row fall within the area on either side of the mean.
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Your Gateway to Business Excellence
Appendix :
Sigma Quality Level Conversion Table
Yield DPMO Sigma
6.6% 934,000 0
8.0% 920,000 0.1
10.0% 900,000 0.2
12.0% 880,000 0.3
14.0% 860,000 0.4
16.0% 840,000 0.5
19.0% 810,000 0.6
22.0% 780,000 0.7
25.0% 750,000 0.8
28.0% 720,000 0.9
31.0% 690,000 1
35.0% 650,000 1.1
39.0% 610,000 1.2
43.0% 570,000 1.3
46.0% 540,000 1.4
50.0% 500,000 1.5
54.0% 460,000 1.6
58.0% 420,000 1.7
61.8% 382,000 1.8
65.6% 344,000 1.9
Yield DPMO Sigma Yield DPMO Sigma
69.2% 308,000 2
72.6% 274,000 2.1
75.8% 242,000 2.2
78.8% 212,000 2.3
81.6% 184,000 2.4
84.2% 158,000 2.5
86.5% 135,000 2.6
88.5% 115,000 2.7
90.3% 96,800 2.8
91.9% 80,800 2.9
93.3% 66,800 3
94.5% 54,800 3.1
95.5% 44,600 3.2
96.4% 35,900 3.3
97.1% 28,700 3.4
97.7% 22,700 3.5
98.2% 17,800 3.6
98.6% 13,900 3.7
98.9% 10,700 3.8
99.2% 8,190 3.9
Yield DPMO Sigma Yield DPMO Sigma
99.4% 6,210 4
99.5% 4,660 4.1
99.7% 3,460 4.2
99.75% 2,550 4.3
99.81% 1,860 4.4
99.87% 1,350 4.5
99.90% 960 4.6
99.93% 680 4.7
99.95% 480 4.8
99.97% 330 4.9
99.977% 230 5
99.985% 150 5.1
99.990% 100 5.2
99.993% 70 5.3
99.996% 40 5.4
99.997% 30 5.5
99.9980% 20 5.6
99.9990% 10 5.7
99.9992% 8 5.8
99.9995% 5 5.9
99.99966% 3.4 6
Yield DPMO Sigma
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PSL - Process Optimization Using Six Sigma Techniques

  • 1. Your Gateway to Business Excellence Define Measure Analyze Improve Control Process Optimization Using Six Sigma Techniques
  • 2. Your Gateway to Business Excellence What is DMAIC ? Define Measure Analyze Improve Control “Many Potential Projects” “Many Potential” Root Causes” “Where are we now?” “How do we sustain the gains” Single Project Selected Project Baseline Measured Root Causes Identified And Verified “What is the solution?” Improvements Tested and Measured Self-Sustaining Institutionalized Process This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 3. Your Gateway to Business Excellence DMAIC - Define Project Charter: Scope, Goals, Metrics Quality Time Cost Growth VALUE STREAM MAP/ PROCESS MAP Voice of the Business (VOB) Areas of Focus Voice of the Customer (VOC) S I P O C Define The problem, measures and process associated with the problem , quantify benefits and identify project team. • Define Customers and Requirements (CTQs , VOC , VOB and Focus Area) • Develop Problem Charter (Scope/Goals and Key Metrics) • Identify team members • Develop Process Map This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 4. Your Gateway to Business Excellence • Process Map provides graphical representation of process flow. • Provides visualization of the process and helps identify opportunities for improvement. • Helps to identify the boundary of the process (start and end of the process). SIPOC Chart Inputs: Process • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • Outputs: Customers: Suppliers: • • • • • • • • • • • • This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 5. Your Gateway to Business Excellence Project Charter • THE key document defining the objectives, scope and financial impact of a Six Sigma project. • Elements in a Project Charter :  Problem Statement  Business Case  Scope  Critical to Quality / Voice of the Customer  Goals  Team Members  Project Plan/Time line This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 6. Your Gateway to Business Excellence Write a project charter for the selected improvement project. Group Activity - Homework This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 7. Your Gateway to Business Excellence What Is a Measure? • A quantified evaluation of characteristics. • Examples include: – Length of time (speed, age) – Size (length, height, weight) – Dollars (costs, sales revenue, profits) – Counts of characteristics or “attributes” (types of customer, property size, gender) – Counts of defects (number of errors, late checkouts, complaints) This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 8. Your Gateway to Business Excellence Collecting Data : Data Collection Forms • Check sheets are used to collect data • Enhance ease of data collection - Faster capture - Consistent data from different people - Quicker to compile data • Need to be designed for each job Week of: 6/26 Collected by: Kevin Regan TV Smk Det Thrmstat RemCon Shower Window 30-Jun 8:00a EJS X X 10 min 28-Jun 8:15a MWT X 1 hr 27-Jun 7:00p MWT X 15 min 26-Jun 6:30p KLC X 2 hrs 28-Jun 5:45p PP X 30 min 30-Jun 6:00a KR X 40 min 1-Jul 8:15p DRT X 4 hrs Replaced part 1-Jul 8:20p ECS X 2 hrs Not in stock 28-Jun 9:35a MWT X 1 hr 29-Jun 9:40a KLC X 30 min 29-Jun 5:15p EJS X 45 min 29-Jun 5:20p KR X 15 min Repair Time Notes Repair Complaint Call DateCall Time Initials This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 9. Your Gateway to Business Excellence Histograms • A histogram is used to display the distribution of a process data set. How to construct a Histogram: 1) Segment the range of the data into equal sized bins. 2) Vertical axis of the histogram labeled frequency and horizontal axis of the histogram labeled with the range of your response. 3) Determine the number of data points that reside within each bin. Histogram Frequency 103 102 101 100 99 98 40 30 20 10 0 Histogramof Histogram Histogram Frequency 103 102 101 100 99 98 40 30 20 10 0 Histogramof Histogram This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 10. Your Gateway to Business Excellence Group Activity - Homework 1) Finalize your data collection plan 2) Create your check sheet (if relevant) 3) Collect the data 4) Choose the relevant data displaying tool for your collected data This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 11. Your Gateway to Business Excellence Lets review your homework Group Activity - Homework This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 12. Your Gateway to Business Excellence • The normal distribution is the most recognized distribution in statistics. • Many sources of data tend to follow the Normal Distribution or bell shaped curve. • 99.73% of the area of the normal distribution is contained between -3 sigma and +3 sigma from the mean. The Normal Distribution   1   ƒ(x)   2    1    2    3    3  68.26% 99.73% 95.46% This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 13. Your Gateway to Business Excellence Observation Individual Value 28 25 22 19 16 13 10 7 4 1 60 50 40 30 20 10 0 _ X=29.06 UCL=55.24 LCL=2.87 1 Control Chart of Recycle Elements of Control Charts Process Center (usually the Mean) Special Cause Variation Detected Control Limits This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 14. Your Gateway to Business Excellence Types of Variation • Special Cause Variation - It is non random and changes over time. - It is usually caused by an force acting upon the process from the outside. • Common Cause Variation - It is an inherent part of the process itself and can only be changed by changing the process itself. This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 15. Your Gateway to Business Excellence Common Cause Variation • Some examples of common cause variation are: – Machinery Vibration of machines Temperature fluctuations Variability in material hardness Web tension Viscosity change – Office Experience of individual workers Workers out sick Internet server response time This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 16. Your Gateway to Business Excellence Process Capability • Most measures have some target value and acceptable limits. • The extent to which the “expected” values fall within these limits determines how capable the process is of meeting its requirements. This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 17. Your Gateway to Business Excellence Group Activity - Homework Calculate the process capability for the metrics of your project. This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 18. Your Gateway to Business Excellence Cause and Effect Diagram (Fishbone or Ishikawa) • What – Relationship between an effect (problem) and its potential causes. Categorizes causes. – It uses verbal inputs in a team environment. Problem or Condition The Y The X’s (Causes) l Categories Material Measurement Environment People Machine Method The Problem Cause and Effect Diagram Problem or Condition The Y The X’s (Causes) l Categories Material Measurement Environment People Machine Method The Problem Cause and Effect Diagram This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 19. Your Gateway to Business Excellence Group Activity Create a cause and effect diagram for the factors that affect the throwing distance of the catapult. Why couldn’t you hit the 2 meters target accurately ? Ex : Pull back distance Rubber elasticity Measurement error Time allocated = 15 minutes This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 20. Your Gateway to Business Excellence Session Format • Introduction to Improve • Exercise : Catapult • Improve phase • Improvement Action Plan • Introduction to Control • Process Control Plan • Group activities • Homework • Project Closeout Checkpoints • Project guidelines This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 21. Your Gateway to Business Excellence Exercise : The X Pult Mission objective To consistently hit the enemies at 2 meters accurately. Exercise 1) Based on your root cause analysis , brainstorm and come out with an improvement plan for your catapult . 2) Test it out and collect the data for 100 measurements. 3) Generate a revised X bar R bar with new control limits. 4) Calculate the new process capability index. Time allocated = 1 hour This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 22. Your Gateway to Business Excellence Action Responsible Due % Complete Action Plan Template This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 23. Your Gateway to Business Excellence Control Implement controls to “sustain the gains”. – Define and Validate Monitoring and Control System – Develop Standards and Procedures – Implement Statistical Process Control – Determine Process Capability – Verify Benefits, Cost Savings/Avoidance, Profit Growth DMAIC - Control This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 24. Your Gateway to Business Excellence Process Control Plan This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 25. Your Gateway to Business Excellence Timeline for Project Commissioning, Project Closeout Meetings and Validate Gate Review This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 26. Your Gateway to Business Excellence Project Guidelines (Cont) Use the required competencies below as a checklist for your Process Optimization project. To successfully complete this unit of competency, you should ensure that you document as many activities as possible using the templates provided. Your coach will guide you through the process. This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 27. Your Gateway to Business Excellence Tools and Templates 1. SIPOC Map 2. Project Charter 3. X bar R chart (Excel file) 4. Process capability (Excel file) 5. Data collection plan 6. Cause and effect diagram 7. 5 Why analysis 8. Improvement action plan 9. Process control plan This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 28. Your Gateway to Business Excellence Lets review your homework Group Activity - Homework This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 29. Your Gateway to Business Excellence Assessment Time • Please hand copies of your completed project forms and presentations to your coach for assessing. • If you need assistance, please ask This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 30. Your Gateway to Business Excellence Appendix :Control Chart Selection Tree TYPE OF DATA Poisson Distribution Count or Classification (Attribute Data) Count Defects or Nonconformance Fixed Opportunity C Chart Variable Opportunity U Chart Classification Defectives or Nonconforming Units Fixed Opportunity NP Chart Variable Opportunity P Chart Subgroup Size of 1 I-MR Subgroup Size < 8-10 Xbar & R Subgroup Size > 8-10 Xbar & S Measurement (Variable Data) Binomial Distribution Normal Distribution/Central Limit Theorem This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 31. Your Gateway to Business Excellence Appendix : Process in Control ? A. One or more points falls outside of the (UCL) or (LCL). B. Two out of three successive points fall in the area that is beyond two standard deviations. C. Four out of five successive points fall in the area that is beyond one standard deviation. D. A run of six or more points that are all either successively higher or successively lower. E. If eight or more points fall on either side of the mean. F. 15 points in a row fall within the area on either side of the mean. This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 32. Your Gateway to Business Excellence Appendix : Sigma Quality Level Conversion Table Yield DPMO Sigma 6.6% 934,000 0 8.0% 920,000 0.1 10.0% 900,000 0.2 12.0% 880,000 0.3 14.0% 860,000 0.4 16.0% 840,000 0.5 19.0% 810,000 0.6 22.0% 780,000 0.7 25.0% 750,000 0.8 28.0% 720,000 0.9 31.0% 690,000 1 35.0% 650,000 1.1 39.0% 610,000 1.2 43.0% 570,000 1.3 46.0% 540,000 1.4 50.0% 500,000 1.5 54.0% 460,000 1.6 58.0% 420,000 1.7 61.8% 382,000 1.8 65.6% 344,000 1.9 Yield DPMO Sigma Yield DPMO Sigma 69.2% 308,000 2 72.6% 274,000 2.1 75.8% 242,000 2.2 78.8% 212,000 2.3 81.6% 184,000 2.4 84.2% 158,000 2.5 86.5% 135,000 2.6 88.5% 115,000 2.7 90.3% 96,800 2.8 91.9% 80,800 2.9 93.3% 66,800 3 94.5% 54,800 3.1 95.5% 44,600 3.2 96.4% 35,900 3.3 97.1% 28,700 3.4 97.7% 22,700 3.5 98.2% 17,800 3.6 98.6% 13,900 3.7 98.9% 10,700 3.8 99.2% 8,190 3.9 Yield DPMO Sigma Yield DPMO Sigma 99.4% 6,210 4 99.5% 4,660 4.1 99.7% 3,460 4.2 99.75% 2,550 4.3 99.81% 1,860 4.4 99.87% 1,350 4.5 99.90% 960 4.6 99.93% 680 4.7 99.95% 480 4.8 99.97% 330 4.9 99.977% 230 5 99.985% 150 5.1 99.990% 100 5.2 99.993% 70 5.3 99.996% 40 5.4 99.997% 30 5.5 99.9980% 20 5.6 99.9990% 10 5.7 99.9992% 8 5.8 99.9995% 5 5.9 99.99966% 3.4 6 Yield DPMO Sigma This document is a partial preview. Full document download can be found on Flevy: https://flevy.com/browse/document/psl--process-optimization-using-six-sigma-techniques-5508
  • 33. 1 Flevy (www.flevy.com) is the marketplace for premium documents. These documents can range from Business Frameworks to Financial Models to PowerPoint Templates. Flevy was founded under the principle that companies waste a lot of time and money recreating the same foundational business documents. Our vision is for Flevy to become a comprehensive knowledge base of business documents. All organizations, from startups to large enterprises, can use Flevy— whether it's to jumpstart projects, to find reference or comparison materials, or just to learn. Contact Us Please contact us with any questions you may have about our company. • General Inquiries support@flevy.com • Media/PR press@flevy.com • Billing billing@flevy.com