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Purpose of six sigma :Purpose of six sigma :
To make customer happier and increase profitsTo make customer happier and increase profits
 Six Sigma originated as a set of practices
designed to improve manufacturing processes
and eliminate defects, but its application was
subsequently extended to other types of
business processes as well.In Six Sigma, a
defect is defined as anything that could lead to
customer dissatisfaction
 Continuous efforts to achieve stable and
predictable process results (i.e. reduce process
variations)
 Manufacturing and business processes have
characteristics that can be measured, analyzed,
improved and controlled.
 Achieving sustained quality improvement
requires commitment from the entire
organization, particularly from top-level
management.
 1987 Motorola Develops Six Sigma
 Raised Quality Standards
 Other Companies Adopt Six Sigma
 GE
Promotions, Profit Sharing (Stock Options),
etc. directly tied to Six Sigma training.
 Delighting Customers.
 Reducing Cycle Times.
 Keeping up with Technology Advances.
 Retaining People.
 Reducing Costs.
 Responding More Quickly.
 Structuring for Flexibility.
 Growing Overseas Markets.
 Generated sustained success
 Project selection tied to organizational strategy
 Customer focused
 Profits
 Project outcomes / benefits tied to financial
reporting system.
 Full-time Black Belts in a rigorous, project-
oriented method.
 Recognition and reward system established to
provide motivation.
It is a Philosophy
– Anything less than ideal is
an opportunity for
improvement
– Defects costs money
– Understanding processes
and improving them is the
most efficient way to
achieve lasting results
It is a Process
– To achieve this level of
performance you need to:
Define, Measure, Analyse,
Improve and Control
It is Statistics
– 6 Sigma processes will
produce less than 3.4
defects per million
opportunities
• Know What’s Important
to the Customer (CTQ)
• Reduce Defects
(DPMO)
• Center Around Target
(Mean)
• Reduce Variation
(Standard Deviation)
• Y
• Dependent
• Output
• Effect
• Symptom
• Monitor
• X1 . . . XnX1 . . . Xn
• IndependentIndependent
• Input-ProcessInput-Process
• CauseCause
• ProblemProblem
• ControlControl
f(X)f(X)Y=Y=
The focus of Six sigma is to identify and control XsThe focus of Six sigma is to identify and control Xs
• Define
• Measure
• Analyze
• Improve
• Control
• DefineDefine
• MeasureMeasure
• AnalyzeAnalyze
• DesignDesign
• VerifyVerify
DMAICDMAIC DMADVDMADV
• Existing Processes • New ProcessesNew Processes
• DFSSDFSS
Key Concepts
 CTQ characteristics for the process, service or
process
 Measure of “What is important to Customer”
 6 Sigma projects are designed to improve CTQ
 Examples:
 Waiting time in clinic
 Spelling mistakes in letter
 % of valves leaking in operation
 A nonconforming unit is a defective unit
 Defect is nonconformance on one of many possible
quality characteristics of a unit that causes
customer dissatisfaction.
 A defect does not necessarily make the unit
defective
 Examples:
 Scratch on water bottle
 (However if customer wants a scratch free bottle, then
this will be defective bottle)
 Circumstances in which CTQ can fail to meet.
 Number of defect opportunities relate to
complexity of unit.
 Complex units – Greater opportunities of defect
than simple units
 Examples:
 A units has 5 parts, and in each part there are 3
opportunities of defects – Total defect opportunities
are 5 x 3 = 15
 Number of defects divided by number of defect
opportunities
 Examples:
 In previous case (15 defect opportunities), if 10 units
have 2 defects.
 Defects per unit = 2 / 10 = 0.2
 DPO = 2 / (15 x 10) = 0.0133333
 DPO multiplies by one million
 Examples:
 In previous case (15 defect opportunities), if 10 units
have 2 defects.
 Defects per unit = 2 / 10 = 0.2
 DPO = 2 / (15 x 10) = 0.0133333
 DPMO = 0.013333333 x 1,000,000 = 13,333
Six Sigma performance is 3.4 DPMO
13,333 DPMO is 3.7 Sigma
 Proportion of units within specification divided
by the total number of units.
 Examples:
 If 10 units have 2 defectives
 Yield = (10 – 2) x 100 /10 = 80 %
 Rolled Through Yield (RTY)
 Y1 x Y2 x Y3 x ……. x Yn
 E.g 0.90 x 0.99 x 0.76 x 0.80 = 0.54
What is Sigma?
 Shot a rifle?
 Played darts?
What is the point of these sports?
What makes them hard?
Jack
Jill
Who is the better shooter?
 Shot a rifle?
 Played darts?
 Deviation = distance between
observations and the mean (or
average)
Observations Deviations
10 10 - 8.4 = 1.6
9 9 - 8.4 = 0.6
8 8 - 8.4 = -0.4
8 8 - 8.4 = -0.4
7 7 - 8.4 = -1.4
averages 8.4 0.0
Jack
8
7
10
8
9
Jill
 Deviation = distance between
observations and the mean (or average)
Observations Deviations
7 7 - 6.6 = 0.4
7 7 - 6.6 = 0.4
7 7 - 6.6 = 0.4
6 6 - 6.6 = -0.6
6 6 - 6.6 = -0.6
averages 6.6 0.0
Jack
Jill
7
6
7
7
6
Sigma
level
DPMO
Percent
defective
Percentage yield
1 691,462 69% 31%
2 308,538 31% 69%
3 66,807 6.7% 93.3%
4 6,210 0.62% 99.38%
5 233 0.023% 99.977%
6 3.4 0.00034% 99.99966%
7 0.019 0.0000019% 99.9999981%
 Variance = average distance between
observations and the mean squared
Observations Deviations
10 10 - 8.4 = 1.6
9 9 – 8.4 = 0.6
8 8 – 8.4 = -0.4
8 8 – 8.4 = -0.4
7 7 – 8.4 = -1.4
averages 8.4 0.0
Squared Deviations
2.56
0.36
0.16
0.16
1.96
1.0
Variance
Jack
8
7
10
8
9
Jill
 Variance = average distance between
observations and the mean squared
Observations Deviations
7 7 - 6.6 = 0.4
7 7 - 6.6 = 0.4
7 7 - 6.6 = 0.4
6 6 – 6.6 = -0.6
6 6 – 6.6 = -0.6
averages 6.6 0.0
Squared Deviations
0.16
0.16
0.16
0.36
0.36
0.24
Variance
Jack
Jill
7
6
7
7
6
 Standard deviation =
square root of
variance
Average Variance Standard
Deviation
Jack 8.4 1.0 1.0
Jill 6.6 0.24 0.4898979
Jack
Jill
But what good is a standard deviation
The world tends to
be bell-shaped
Most
outcomes
occur in the
middle
Fewer
in the
“tails”
(lower)
Fewer
in the
“tails”
(upper)
Even very rare
outcomes are
possible
Even very rare
outcomes are
possible
Add up the dots on the dice
0
0.05
0.1
0.15
0.2
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Sum of dots
Probability
1 die
2 dice
3 dice
Here is why:Here is why: Even outcomes that are equallyEven outcomes that are equally
likely (like dice), when you addlikely (like dice), when you add
them up, become bell shapedthem up, become bell shaped
Normal distributions are divide up
into 3 standard deviations on
each side of the mean
Once your that, you
know a lot about
what is going on
And that is what a standard deviation
is good for
“Normal” bell shaped
curve
 Common Causes:
 Random variation within predictable range (usual)
 No pattern
 Inherent in process
 Adjusting the process increases its variation
 Special Causes
 Non-random variation (unusual)
 May exhibit a pattern
 Assignable, explainable, controllable
 Adjusting the process decreases its variation
 Process and Control limits:
 Statistical
 Process limits are used for individual items
 Control limits are used with averages
 Limits = μ ± 3σ
 Define usual (common causes) & unusual (special
causes)
 Specification limits:
 Engineered
 Limits = target ± tolerance
 Define acceptable & unacceptable
Another View
LSL USL USLLSL
Off-Target Large Variation
On-Target
Center
Process
Reduce
Spread
The statistical view of a problem
USLLSL LSL = Lower spec limit
USL = Upper spec limit
LSL = Lower spec limit
USL = Upper spec limit
Good quality:
defects are
rare (Cpk>1)
Poor quality:
defects are
common (Cpk<1)
Cpk measuresmeasures “Process Capability”
If process limits and control limits are at the same location, Cpk = 1. Cpk ≥ 2 is exceptional.
μ
target
μ
target
Good quality: defects are rare (Cpk>1)
Poor quality: defects are common (Cpk<1)
Cpk = min
USL – x
3σ
=
x - LSL
3σ
=
3σ = (UPL – x, or x – LPL)
= =
14 20 26
15 24
24 – 20
3(2)
= =.667
20 – 15
3(2)
= =.833
1 122 3 4 5 6 7 8 9 10 11
1σ 1σ 1σ 1σ 1σ1σ
6σ
LSL USL
+6σ−6σ
A Six Sigma Process –
Predictably twice as good as what
the customer wants
2 3 4 5 6 7 8 9 1210 16151413111
LSL USL
6 Sigma curve
3 Sigma curve
2 3 4 5 6 7 8 9 1210 16151413111
LSL USL
SD = 1
1.5 SD 1.5 SD
3
4
5
6
7
66810
6210
233
3.4
0.02
Sigma
DPMO
On one condition :
Calculate the defects
and estimate the
opportunities in the
same way...
0
100,000
200,000
300,000
400,000
500,000
600,000
1.5 2.5 3.5 4.5 5.5
# of Sigmas
#ofDefectperMillion
Sigma Defects
numbers per million
1.5s 500,000
2.0s 308,300
2.5s 158,650
3.0s 67,000
3.5s 22,700
4.0s 6,220
4.5s 1,350
5.0s 233
5.5s 32
6.0s 3.4
Components of Six Sigma
Two components of Six
Sigma
1. Process Power
2. People Power
P
DC
A
Plan
DoCheck
Act
Act on what
was learned
Check the results
Plan the change
Implement the
change on a small
scale.
Practical
Problem
Statistical
Problem
Statistical
Solution
Practical
Solution
 Define
 What is important?
 Measure
 How are we doing?
 Analyze
 What is wrong?
 Improve
 Fix what’s wrong
 Control
 Ensure gains are maintained
to guarantee performance
D
Define
M
Measure
A
Analyze
I
Improve
C
Control
Identify and state the practical problem
Validate the practical problem by collecting data
Convert the practical problem to a statistical one, define
statistical goal and identify potential statistical solution
Confirm and test the statistical solution
Convert the statistical solution to a practical solution
D
Define
M
Measure
A
Analyze
I
Improve
C
Control
VoCVoC - Who wants the project and why ?
The scope of project / improvement (SMART Objective)
Key team members / resources for the project
Critical milestones and stakeholder review
Budget allocation
Ensure measurement system reliability
Prepare data collection plan
Collect data
- Is tool used to measure the output variable flawed ?
- How many data points do you need to collect ?
- How many days do you need to collect data for ?
- What is the sampling strategy ?
- Who will collect data and how will data get stored ?
- What could the potential drivers of variation be ?
D
Define
M
Measure
A
Analyze
I
Improve
C
Control
How well or poorly processes are working compared with
- Best possible (Benchmarking)
- Competitor’s
Shows you maximum possible result
Don’t focus on symptoms, find the root cause
D
Define
M
Measure
A
Analyze
I
Improve
C
Control
Present recommendations to process owner.
Pilot run
- Formulate Pilot run.
- Test improved process (run pilot).
- Analyze pilot and results.
Develop implementation plan.
- Prepare final presentation.
- Present final recommendation to Management Team.
D
Define
M
Measure
A
Analyze
I
Improve
C
Control
Don’t be too hasty to declare victory.
How will you maintain to gains made?
- Change policy & procedures
- Change drawings
- Change planning
- Revise budget
- Training
D
Define
M
Measure
A
Analyze
I
Improve
C
Control
Step Consequences if the step is omitted
1. Define
2. Measure
3. Analyze
4. Improve
5. Control
 Benchmark
 Baseline
 Contract / Charter
 Kano Model
 Voice of the
Customer
 Quality Function
Deployment
 Process Flow Map
 Project
Management
 “Management by
Fact” – 4 What’s
 7 Basic Tools
 Defect Metrics
 Data Collection,
Forms, Plan,
Logistics
 Sampling
Techniques
 Cause & Effect
Diagrams
 Failure Models &
 Effect Analysis
 Decision & Risk
Analysis
 Statistical Inference
 Control Charts
 Capability
 Reliability Analysis
 Root Cause
Analysis
 5 Why’s
 Systems Thinking
 Design of
Experiments
 Modelling
 Tolerancing
 Robust Design
 Process Map
Statistical Controls
 Control Charts
 Time Series
Methods
Non Statistical
Controls
 Procedure
adherence
 Performance
Mgmt
 Preventive activities
 Poke yoke
Define
What is wrong?
Define
What is wrong?
Measure
Data & Process
capability
Measure
Data & Process
capability
Analyze
When and where
are the defects
Analyze
When and where
are the defects
Improve
How to get
to six sigma
Improve
How to get
to six sigma
Control
Display
key measures
Control
Display
key measures
Two components of Six
Sigma
1. Process Power
2. People Power
Tell me, I forget. Show me , I remember. Involve me, I understand.
Master
Black
Belt
Black Belts
Green Belts
Team Members /
Yellow Belts
Champions
Mentor, trainer, and coach of Black Belts and others
in the organization.
Leader of teams implementing the six sigma
methodology on projects.
Delivers successful focused projects using
the six sigma methodology and tools.
Participates on and supports
the project teams, typically in
the context of his or her existing
responsibilities.
Champion
Black
Belt
Black
Belt
Black
Belt
Green
Belt
Green
Belt
Green
Belt
Green
Belt
Green
Belt
Yellow
Belt
Yellow
Belt
Yellow
Belt
Yellow
Belt
Master
Black
Belt
Senior
Executives
Champions /
Process owners
Black-Belt
Green Belt
Employees
(Yellow-Belt)
Executive overview
2/3 Days Provide Leadership
Champions
Training - I
2 days
Champions
Training –II
3 days
Process Mgmt. &
Project
champion
Week
2
Week
3
Week
4
Training /
Facilitation
skills
Project-work
Master Black-Belt
-As Trainer
-Coach teams
-Facilitate
improvement projects
1 Week Green-Belt Training
- Part of project teams
- Sometime lead the
teams
1 / 2 Days core training on
Six-Sigma
- General process
control &
improvement
- Project Team
Member
Black-Belt
Project work
Position in Six Sigma
Organisation
Typical
Training
Expected Role
Post Training
+
(Total 5 days)
Week
1
• Plans improvement projects
• Charters or champions chartering
process
• Identifies, sponsors and directs Six Sigma
projects
• Holds regular project reviews in
accordance with project charters
• Includes Six Sigma requirements in
expense and capital budgets
• Identifies and removes organizational and
cultural barriers to Six Sigma success.
• Rewards and recognizes team and
individual accomplishments (formally and
informally)
• Communicates leadership vision
• Monitors and reports Six Sigma progress
• Validates Six Sigma project results
• Nominates highly qualified Black Belt
and/or Green Belt candidates
Roles Responsibilities
-Enterprise Six Sigma expert
-Permanent full-time change
agent
-Certified Black Belt with
additional specialized skills or
experience especially useful in
deployment of Six Sigma
across the enterprise
- Highly proficient in using Six Sigma
methodology to achieve tangible business
results.
-Technical expert beyond Black Belt level
on one or more aspects of process
improvement (e.g., advanced statistical
analysis, project management,
communications, program administration,
teaching, project coaching)
-Identifies high-leverage opportunities for
applying the Six Sigma approach across
the enterprise
-Basic Black Belt training
-Green Belt training
-Coach / Mentor Black Belts
Roles Responsibilities
- Six Sigma technical expert
- Temporary, full-time change
agent (will return to other duties
after completing a two to three
year tour of duty as a Black Belt)
- Leads business process
improvement projects where Six
Sigma approach is indicated.
- Successfully completes high-impact
projects that result in tangible benefits
to the enterprise
- Demonstrated mastery of Black Belt
body of knowledge
- Demonstrated proficiency at achieving
results through the application of the
Six Sigma approach
- Coach / Mentor Green Belts
- Recommends Green Belts for
Certification
Roles Responsibilities
- Six Sigma Project originator
- Part-time Six Sigma change
agent. Continues to perform
normal duties while participating
on Six Sigma project teams
- Six Sigma champion in local
area
- Recommends Six Sigma projects
- Participates on Six Sigma project
teams
- Leads Six Sigma teams in local
improvement projects
Roles Responsibilities
- Learns and applies Six Sigma
tools to projects
- Actively participates in team tasks
- Communicates well with other team
members
- Demonstrates basic improvement tool
knowledge
- Accepts and executes assignments as
determined by team
• Hard Savings:
– Cost Reduction
• Energy Saving
• Raw Material saving
• Reduced Rejection, Waste, Repair
– Revenue Enhancement
• Increased production
• Yield Improvement
• Quality Improvement
• Hard Savings:
– Cash flow improvement
• Reduced cash tied up in inventory
• Reduced late receivables, early payables
• Reduced cycle time
– Cost and Capital avoidance
• Optimizing the current system / resources
• Reduced maintenance costs
Types of Savings
• Soft Savings:
– Customer Satisfaction / Loyalty
– Employee Satisfaction
Types of Savings
• Direct Payroll
– Full time (Black Belts, Master Black Belts)
• Indirect Payroll
– Time by executives, team members, data
collection
• Training and Consulting
– Black Belt course, Overview for Mgmt etc.
• Improvement Implementation Costs
– Installing new solution, IT driven solutions etc.
• Three basic qualifications:
– -There is a gap between current and desired /
needed performance.
– The cause of problem is not clearly
understood.
– The solution is not pre-determined, nor is
the optimal solution apparent.
How many projects out of 20 now
qualify as Six sigma projects?

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Six sigma

  • 1. Purpose of six sigma :Purpose of six sigma : To make customer happier and increase profitsTo make customer happier and increase profits
  • 2.  Six Sigma originated as a set of practices designed to improve manufacturing processes and eliminate defects, but its application was subsequently extended to other types of business processes as well.In Six Sigma, a defect is defined as anything that could lead to customer dissatisfaction
  • 3.  Continuous efforts to achieve stable and predictable process results (i.e. reduce process variations)  Manufacturing and business processes have characteristics that can be measured, analyzed, improved and controlled.  Achieving sustained quality improvement requires commitment from the entire organization, particularly from top-level management.
  • 4.  1987 Motorola Develops Six Sigma  Raised Quality Standards  Other Companies Adopt Six Sigma  GE Promotions, Profit Sharing (Stock Options), etc. directly tied to Six Sigma training.
  • 5.  Delighting Customers.  Reducing Cycle Times.  Keeping up with Technology Advances.  Retaining People.  Reducing Costs.  Responding More Quickly.  Structuring for Flexibility.  Growing Overseas Markets.
  • 6.  Generated sustained success  Project selection tied to organizational strategy  Customer focused  Profits  Project outcomes / benefits tied to financial reporting system.  Full-time Black Belts in a rigorous, project- oriented method.  Recognition and reward system established to provide motivation.
  • 7. It is a Philosophy – Anything less than ideal is an opportunity for improvement – Defects costs money – Understanding processes and improving them is the most efficient way to achieve lasting results It is a Process – To achieve this level of performance you need to: Define, Measure, Analyse, Improve and Control It is Statistics – 6 Sigma processes will produce less than 3.4 defects per million opportunities
  • 8. • Know What’s Important to the Customer (CTQ) • Reduce Defects (DPMO) • Center Around Target (Mean) • Reduce Variation (Standard Deviation)
  • 9. • Y • Dependent • Output • Effect • Symptom • Monitor • X1 . . . XnX1 . . . Xn • IndependentIndependent • Input-ProcessInput-Process • CauseCause • ProblemProblem • ControlControl f(X)f(X)Y=Y= The focus of Six sigma is to identify and control XsThe focus of Six sigma is to identify and control Xs
  • 10. • Define • Measure • Analyze • Improve • Control • DefineDefine • MeasureMeasure • AnalyzeAnalyze • DesignDesign • VerifyVerify DMAICDMAIC DMADVDMADV • Existing Processes • New ProcessesNew Processes • DFSSDFSS
  • 12.  CTQ characteristics for the process, service or process  Measure of “What is important to Customer”  6 Sigma projects are designed to improve CTQ  Examples:  Waiting time in clinic  Spelling mistakes in letter  % of valves leaking in operation
  • 13.  A nonconforming unit is a defective unit  Defect is nonconformance on one of many possible quality characteristics of a unit that causes customer dissatisfaction.  A defect does not necessarily make the unit defective  Examples:  Scratch on water bottle  (However if customer wants a scratch free bottle, then this will be defective bottle)
  • 14.  Circumstances in which CTQ can fail to meet.  Number of defect opportunities relate to complexity of unit.  Complex units – Greater opportunities of defect than simple units  Examples:  A units has 5 parts, and in each part there are 3 opportunities of defects – Total defect opportunities are 5 x 3 = 15
  • 15.  Number of defects divided by number of defect opportunities  Examples:  In previous case (15 defect opportunities), if 10 units have 2 defects.  Defects per unit = 2 / 10 = 0.2  DPO = 2 / (15 x 10) = 0.0133333
  • 16.  DPO multiplies by one million  Examples:  In previous case (15 defect opportunities), if 10 units have 2 defects.  Defects per unit = 2 / 10 = 0.2  DPO = 2 / (15 x 10) = 0.0133333  DPMO = 0.013333333 x 1,000,000 = 13,333 Six Sigma performance is 3.4 DPMO 13,333 DPMO is 3.7 Sigma
  • 17.  Proportion of units within specification divided by the total number of units.  Examples:  If 10 units have 2 defectives  Yield = (10 – 2) x 100 /10 = 80 %  Rolled Through Yield (RTY)  Y1 x Y2 x Y3 x ……. x Yn  E.g 0.90 x 0.99 x 0.76 x 0.80 = 0.54
  • 19.  Shot a rifle?  Played darts? What is the point of these sports? What makes them hard?
  • 20. Jack Jill Who is the better shooter?  Shot a rifle?  Played darts?
  • 21.  Deviation = distance between observations and the mean (or average) Observations Deviations 10 10 - 8.4 = 1.6 9 9 - 8.4 = 0.6 8 8 - 8.4 = -0.4 8 8 - 8.4 = -0.4 7 7 - 8.4 = -1.4 averages 8.4 0.0 Jack 8 7 10 8 9 Jill
  • 22.  Deviation = distance between observations and the mean (or average) Observations Deviations 7 7 - 6.6 = 0.4 7 7 - 6.6 = 0.4 7 7 - 6.6 = 0.4 6 6 - 6.6 = -0.6 6 6 - 6.6 = -0.6 averages 6.6 0.0 Jack Jill 7 6 7 7 6
  • 23. Sigma level DPMO Percent defective Percentage yield 1 691,462 69% 31% 2 308,538 31% 69% 3 66,807 6.7% 93.3% 4 6,210 0.62% 99.38% 5 233 0.023% 99.977% 6 3.4 0.00034% 99.99966% 7 0.019 0.0000019% 99.9999981%
  • 24.  Variance = average distance between observations and the mean squared Observations Deviations 10 10 - 8.4 = 1.6 9 9 – 8.4 = 0.6 8 8 – 8.4 = -0.4 8 8 – 8.4 = -0.4 7 7 – 8.4 = -1.4 averages 8.4 0.0 Squared Deviations 2.56 0.36 0.16 0.16 1.96 1.0 Variance Jack 8 7 10 8 9 Jill
  • 25.  Variance = average distance between observations and the mean squared Observations Deviations 7 7 - 6.6 = 0.4 7 7 - 6.6 = 0.4 7 7 - 6.6 = 0.4 6 6 – 6.6 = -0.6 6 6 – 6.6 = -0.6 averages 6.6 0.0 Squared Deviations 0.16 0.16 0.16 0.36 0.36 0.24 Variance Jack Jill 7 6 7 7 6
  • 26.  Standard deviation = square root of variance Average Variance Standard Deviation Jack 8.4 1.0 1.0 Jill 6.6 0.24 0.4898979 Jack Jill But what good is a standard deviation
  • 27. The world tends to be bell-shaped Most outcomes occur in the middle Fewer in the “tails” (lower) Fewer in the “tails” (upper) Even very rare outcomes are possible Even very rare outcomes are possible
  • 28. Add up the dots on the dice 0 0.05 0.1 0.15 0.2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Sum of dots Probability 1 die 2 dice 3 dice Here is why:Here is why: Even outcomes that are equallyEven outcomes that are equally likely (like dice), when you addlikely (like dice), when you add them up, become bell shapedthem up, become bell shaped
  • 29. Normal distributions are divide up into 3 standard deviations on each side of the mean Once your that, you know a lot about what is going on And that is what a standard deviation is good for “Normal” bell shaped curve
  • 30.  Common Causes:  Random variation within predictable range (usual)  No pattern  Inherent in process  Adjusting the process increases its variation  Special Causes  Non-random variation (unusual)  May exhibit a pattern  Assignable, explainable, controllable  Adjusting the process decreases its variation
  • 31.  Process and Control limits:  Statistical  Process limits are used for individual items  Control limits are used with averages  Limits = μ ± 3σ  Define usual (common causes) & unusual (special causes)  Specification limits:  Engineered  Limits = target ± tolerance  Define acceptable & unacceptable
  • 32. Another View LSL USL USLLSL Off-Target Large Variation On-Target Center Process Reduce Spread The statistical view of a problem USLLSL LSL = Lower spec limit USL = Upper spec limit LSL = Lower spec limit USL = Upper spec limit
  • 33. Good quality: defects are rare (Cpk>1) Poor quality: defects are common (Cpk<1) Cpk measuresmeasures “Process Capability” If process limits and control limits are at the same location, Cpk = 1. Cpk ≥ 2 is exceptional. μ target μ target
  • 34. Good quality: defects are rare (Cpk>1) Poor quality: defects are common (Cpk<1) Cpk = min USL – x 3σ = x - LSL 3σ = 3σ = (UPL – x, or x – LPL) = = 14 20 26 15 24 24 – 20 3(2) = =.667 20 – 15 3(2) = =.833
  • 35. 1 122 3 4 5 6 7 8 9 10 11 1σ 1σ 1σ 1σ 1σ1σ 6σ LSL USL +6σ−6σ A Six Sigma Process – Predictably twice as good as what the customer wants
  • 36. 2 3 4 5 6 7 8 9 1210 16151413111 LSL USL 6 Sigma curve 3 Sigma curve
  • 37. 2 3 4 5 6 7 8 9 1210 16151413111 LSL USL SD = 1 1.5 SD 1.5 SD
  • 38. 3 4 5 6 7 66810 6210 233 3.4 0.02 Sigma DPMO On one condition : Calculate the defects and estimate the opportunities in the same way...
  • 39. 0 100,000 200,000 300,000 400,000 500,000 600,000 1.5 2.5 3.5 4.5 5.5 # of Sigmas #ofDefectperMillion Sigma Defects numbers per million 1.5s 500,000 2.0s 308,300 2.5s 158,650 3.0s 67,000 3.5s 22,700 4.0s 6,220 4.5s 1,350 5.0s 233 5.5s 32 6.0s 3.4
  • 41. Two components of Six Sigma 1. Process Power 2. People Power
  • 42.
  • 43. P DC A Plan DoCheck Act Act on what was learned Check the results Plan the change Implement the change on a small scale.
  • 45.  Define  What is important?  Measure  How are we doing?  Analyze  What is wrong?  Improve  Fix what’s wrong  Control  Ensure gains are maintained to guarantee performance
  • 46. D Define M Measure A Analyze I Improve C Control Identify and state the practical problem Validate the practical problem by collecting data Convert the practical problem to a statistical one, define statistical goal and identify potential statistical solution Confirm and test the statistical solution Convert the statistical solution to a practical solution
  • 47. D Define M Measure A Analyze I Improve C Control VoCVoC - Who wants the project and why ? The scope of project / improvement (SMART Objective) Key team members / resources for the project Critical milestones and stakeholder review Budget allocation
  • 48. Ensure measurement system reliability Prepare data collection plan Collect data - Is tool used to measure the output variable flawed ? - How many data points do you need to collect ? - How many days do you need to collect data for ? - What is the sampling strategy ? - Who will collect data and how will data get stored ? - What could the potential drivers of variation be ? D Define M Measure A Analyze I Improve C Control
  • 49. How well or poorly processes are working compared with - Best possible (Benchmarking) - Competitor’s Shows you maximum possible result Don’t focus on symptoms, find the root cause D Define M Measure A Analyze I Improve C Control
  • 50. Present recommendations to process owner. Pilot run - Formulate Pilot run. - Test improved process (run pilot). - Analyze pilot and results. Develop implementation plan. - Prepare final presentation. - Present final recommendation to Management Team. D Define M Measure A Analyze I Improve C Control
  • 51. Don’t be too hasty to declare victory. How will you maintain to gains made? - Change policy & procedures - Change drawings - Change planning - Revise budget - Training D Define M Measure A Analyze I Improve C Control
  • 52. Step Consequences if the step is omitted 1. Define 2. Measure 3. Analyze 4. Improve 5. Control
  • 53.  Benchmark  Baseline  Contract / Charter  Kano Model  Voice of the Customer  Quality Function Deployment  Process Flow Map  Project Management  “Management by Fact” – 4 What’s  7 Basic Tools  Defect Metrics  Data Collection, Forms, Plan, Logistics  Sampling Techniques  Cause & Effect Diagrams  Failure Models &  Effect Analysis  Decision & Risk Analysis  Statistical Inference  Control Charts  Capability  Reliability Analysis  Root Cause Analysis  5 Why’s  Systems Thinking  Design of Experiments  Modelling  Tolerancing  Robust Design  Process Map Statistical Controls  Control Charts  Time Series Methods Non Statistical Controls  Procedure adherence  Performance Mgmt  Preventive activities  Poke yoke Define What is wrong? Define What is wrong? Measure Data & Process capability Measure Data & Process capability Analyze When and where are the defects Analyze When and where are the defects Improve How to get to six sigma Improve How to get to six sigma Control Display key measures Control Display key measures
  • 54. Two components of Six Sigma 1. Process Power 2. People Power Tell me, I forget. Show me , I remember. Involve me, I understand.
  • 55. Master Black Belt Black Belts Green Belts Team Members / Yellow Belts Champions Mentor, trainer, and coach of Black Belts and others in the organization. Leader of teams implementing the six sigma methodology on projects. Delivers successful focused projects using the six sigma methodology and tools. Participates on and supports the project teams, typically in the context of his or her existing responsibilities.
  • 57. Senior Executives Champions / Process owners Black-Belt Green Belt Employees (Yellow-Belt) Executive overview 2/3 Days Provide Leadership Champions Training - I 2 days Champions Training –II 3 days Process Mgmt. & Project champion Week 2 Week 3 Week 4 Training / Facilitation skills Project-work Master Black-Belt -As Trainer -Coach teams -Facilitate improvement projects 1 Week Green-Belt Training - Part of project teams - Sometime lead the teams 1 / 2 Days core training on Six-Sigma - General process control & improvement - Project Team Member Black-Belt Project work Position in Six Sigma Organisation Typical Training Expected Role Post Training + (Total 5 days) Week 1
  • 58. • Plans improvement projects • Charters or champions chartering process • Identifies, sponsors and directs Six Sigma projects • Holds regular project reviews in accordance with project charters • Includes Six Sigma requirements in expense and capital budgets
  • 59. • Identifies and removes organizational and cultural barriers to Six Sigma success. • Rewards and recognizes team and individual accomplishments (formally and informally) • Communicates leadership vision • Monitors and reports Six Sigma progress • Validates Six Sigma project results • Nominates highly qualified Black Belt and/or Green Belt candidates
  • 60. Roles Responsibilities -Enterprise Six Sigma expert -Permanent full-time change agent -Certified Black Belt with additional specialized skills or experience especially useful in deployment of Six Sigma across the enterprise - Highly proficient in using Six Sigma methodology to achieve tangible business results. -Technical expert beyond Black Belt level on one or more aspects of process improvement (e.g., advanced statistical analysis, project management, communications, program administration, teaching, project coaching) -Identifies high-leverage opportunities for applying the Six Sigma approach across the enterprise -Basic Black Belt training -Green Belt training -Coach / Mentor Black Belts
  • 61. Roles Responsibilities - Six Sigma technical expert - Temporary, full-time change agent (will return to other duties after completing a two to three year tour of duty as a Black Belt) - Leads business process improvement projects where Six Sigma approach is indicated. - Successfully completes high-impact projects that result in tangible benefits to the enterprise - Demonstrated mastery of Black Belt body of knowledge - Demonstrated proficiency at achieving results through the application of the Six Sigma approach - Coach / Mentor Green Belts - Recommends Green Belts for Certification
  • 62. Roles Responsibilities - Six Sigma Project originator - Part-time Six Sigma change agent. Continues to perform normal duties while participating on Six Sigma project teams - Six Sigma champion in local area - Recommends Six Sigma projects - Participates on Six Sigma project teams - Leads Six Sigma teams in local improvement projects
  • 63. Roles Responsibilities - Learns and applies Six Sigma tools to projects - Actively participates in team tasks - Communicates well with other team members - Demonstrates basic improvement tool knowledge - Accepts and executes assignments as determined by team
  • 64. • Hard Savings: – Cost Reduction • Energy Saving • Raw Material saving • Reduced Rejection, Waste, Repair – Revenue Enhancement • Increased production • Yield Improvement • Quality Improvement
  • 65. • Hard Savings: – Cash flow improvement • Reduced cash tied up in inventory • Reduced late receivables, early payables • Reduced cycle time – Cost and Capital avoidance • Optimizing the current system / resources • Reduced maintenance costs Types of Savings
  • 66. • Soft Savings: – Customer Satisfaction / Loyalty – Employee Satisfaction Types of Savings
  • 67. • Direct Payroll – Full time (Black Belts, Master Black Belts) • Indirect Payroll – Time by executives, team members, data collection • Training and Consulting – Black Belt course, Overview for Mgmt etc. • Improvement Implementation Costs – Installing new solution, IT driven solutions etc.
  • 68. • Three basic qualifications: – -There is a gap between current and desired / needed performance. – The cause of problem is not clearly understood. – The solution is not pre-determined, nor is the optimal solution apparent. How many projects out of 20 now qualify as Six sigma projects?