quality management tools and techniques 2014 part 1 st.ver
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Quality PT1TRANSCRIPT
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QUALITYMANAGEMENT
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Part 2
Tools and Techniques used in Total
Quality Management
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Tools and Techniques used in Total
Quality Management
• Tools and Techniques
• Product and Process Improvements
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Part 2.1
Tools and Techniques
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Introduction
• One of the basic principles of Total Quality ismanagement by facts
• It requires that each decision, each solution to a
problem is based on relevant data andappropriate analysis
• Collecting and analyzing data can be difficult
• Use of Total Quality tools and techniques ensurebetter decision making, better solution toproblems, improvement in productivity, productsand services
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Overview of Total Quality Tools
Basic 7 tools:
• The Pareto Chart
• Cause-and-Effect Diagrams• Check Sheets• Histograms• Scatter Diagrams
• Stratification• Run Charts and Control Charts
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Overview of Total Quality Tools
Other tools:
• Statistical Process Control (SPC)
• 5S• Flowcharts• Input-output diagram• Failure mode and effects analysis
• Design of Experiments (DOE)
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Overview of Total Quality Techniques
• Process Capability
• Quality Loss Function and Robust Engineering
•
Risk Assesment• Problem Solving and Decision Making
– PDCA
–
8D – Kepner Traego
– Six Sigma
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Pareto chart
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Pareto charts are useful for separating the important from thetrivial. Pareto charts are important because they can help anorganization decide where to focus limited resources
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Pareto Chart
The purpose is to separate the “vital few” from the trivial many.
Type of InterruptionFrequency of
Occurrence
Machine Breakdown 180
Defective Production 135
No Material 63
Change-over 56
Tool Breakdown 27
Defective Material 23
Maintenance 14
No Labor 9
The number of production interruptions, and the reasons for the interruption, atan injection molding plant are recorded for one month.
Whatinformation dowe “see” fromthe Pareto?
MachineBreakdown andDefectiveProduction are thebiggestcontributors toproduction
interruption.
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Pareto chart
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The purpose of the cause-and-effect diagram
( Ishikawa of fishbone) diagram is to help
identify and isolate the causes of problems
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Cause and Effect Diagram
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Cause and Effect Diagram
13
• Example of problem:
• Contamination of product with iron.
• Possible (primary) causes of contamination: – Measurement – Material
– Methods
– Environment
– Manpower – Machines
5M+E
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Iron in
product
Measurements Materials Methods
MachinesManpowerEnvironment
Cause and Effect Diagram
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Cause and Effect Diagram
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Measurements
Solvent contamination
Lab error
CalculationImproper calibrationAnalyst
At supplierIn laboratory
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Cause and Effect Diagram
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Cause and Effect Diagram
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• Can be used in any function of an organization
• Example from Human Resources – Employee turnover
– Possible (primary) causes of turnover:• Economy
• Performance of the Organization
• Organizational Culture
• Job Characteristics
• Unrealisic Employee Expectations
• Personal Reasons
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Cause and Effect Diagram
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Check sheet
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Check sheets make it easy to collect data for specific purposes and
to present it in a way that automatically converts it into useful
information
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Histogram
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Histograms have to do with variability. A histogram is a measurement scaleacross one axis and a frequency of measurements on the other.
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Histogram
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Adds to 100%
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Scatter diagram
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Scatter diagram is used to determine the
correlation between two variables.
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What is a Correlation?• A correlation exists between two variables when
they are related to one another in some way.
Time Cost
Project (Days) ($k)
1. 14 80
2. 29 111
3. 26 76
4. 10 27
5. 18 55
6. 11 51
7. 34 150
8. 26 140
9. 24 80
10. 21 120
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QUESTION:
What is the relationship between Project
time and Cost?
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Scatter DiagramA scatter diagram is the graphical
representation of paired (x,y) data.
Time Cost
Project (Days) ($k)
1. 14 80
2. 29 111
3. 26 76
4. 10 27
5. 18 55
6. 11 517. 34 150
8. 26 140
9. 24 80
10. 21 120
3 0 2 0 1 0
1
5
0
1 0 0
5 0
T i m e ( D a y s )
C
o
s t ( $
k )
T i m e v s . C o s t o f P r o j e c t s
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Scatter Diagram
Time Cost
Project (Days) ($k)
1. 14 80
2. 29 1113. 26 76
4. 10 27
5. 18 55
6. 11 51
7. 34 1508. 26 140
9. 24 80
10. 21 120
3
0
2
0
1
0
1 5 0
1 0 0
5 0
T i m e ( D a y s )
C
o
s t ( $
k )
T i m e v s . C o s t o f P r o j e c t s
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As the project time increases,so does the cost.
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Types of Relationships
Positive Correlation Strong Positive Perfect Positive No Correlation
Negative Correlation Strong Negative Perfect Negative Nonlinear Correlation
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Correlation Coefficient
• The correlation coefficient, r,is a statistical measure of the strength of the
linear relationship between two variables.
• r is always between -1 and 1 (inclusive).
• When r is close to zero, no linear relationshipis present.
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Correlation Coefficient
r = 0.82
3 0 2 0 1 0
1 5 0
1 0 0
5 0
T i m e ( D a y s )
C
o
s t ( $
k )
T
i
m
e
v
s
.
C
o
s
t
o
f
P
r
o
j
e
c
t
s
January 2014 28Quality Management
Time CostProject (Days) ($k)
1. 14 80
2. 29 111
3. 26 76
4. 10 27
5. 18 55
6. 11 51
7. 34 150
8. 26 140
9. 24 80
10. 21 120
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Correlation Coefficient - Examples
Positive Correlation Strong Positive Perfect Positive No Correlation
Negative Correlation Strong Negative Perfect Negative Nonlinear Correlation
r = 0.52 r = 0.85 r = 1.0 r = 0.09
r = - 0.73 r = - 0.89 r = - 1.0 r 0
Note: r 0 means no linear relationship.
The variables might be related, just not in
a linear fashion.
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Correlation Coefficient Discussion
1. The correlation coefficient, r,
is approximately (select one):
a.) 0.50
b.) 0.85
c.) 0.05
2. The correlation coefficient, r,
is approximately (select one):a.) 0.00
b.) 0.70
c.) -0.70
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Stratification
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Stratification is a tool used to investigate the cause of a problem by grouping
data into categories. Grouping of data by common elements or characteristicsmakes it easier to understand the data and to draw insights from it.
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Run chartThe run chart records the output results of a process over time
For this reason, the run chart is sometimes called a trend chart
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Run charts and Control charts
The weakness of the run chart is that it
does not tell whether the variation is
the result of common causes or specialcauses.
This weakness gave rise to the control
chart.
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Control Chart
• Common Cause Variation – Routine, inherent process variation – the “steady
state” variation that persists over time
– Common-cause variation is the noise within thesystem.
– Common cause variation describes variability in aprocess that is inherent in the design of theprocess
– Reduction of common cause variation requires(usually) a redesign of the process
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Control Chart
• Special Cause Variation
– Variation that demonstrates a deviation from theprocess’ “steady state”.
– Special-cause variation always arrives as asurprise. It is the signal within a system
– Special cause variation is a variability that comesfrom some extraordinary event
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Control Chart
Two different sorts of data:
• Data collected by counting:
–
Attribute/discrete data charts – Number of wrong invoices received per day
• Data collected by measurements:
–
Variable/ continue data charts – Percentage of alcohol in beer
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Control Chart
Two different control charts:
• The p-chart is used to monitor the number of(non) conforming units in a sample
• The x and R chart is used to monitor avariable's data when samples are collected atregular intervals from a business or industrial
process. – Range of a set of data is the difference between
the largest and smallest values
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Week
P r o p o r t i o n
2018161412108642
0.10
0.09
0.08
0.07
0.06
0.05
0.04
0.03
0.02
0.01
_ P=0.0416
UCL=0.06839
LCL=0.01481
1
P Chart of Rejcted Invoices
Run (p) chartEach week, n=500 invoices are sampled.
The percentage of invoices needing correction isplotted for 20 weeks.
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Wk 1 – 4%Wk 2 – 5,2%
Wk 3 – 5,3%
Wk 4 – 4,9%
Wk 5 – 2,5%
Etc. Average = 0,04126
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Control Chart
On Control chart, data are plotted just
as they are on a run chart, but a lower
control limit, an upper control limit,
and a process average are added.
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Control Chart
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• Control limits are statistical bounds that
define the region within which the process
naturally varies.
• These bounds are computed from the data.
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Upper and Lower Control Limit
(UCL & LCL) for p chart
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0.0416 ( 1 – 0.0416)
500= 0,04126 + 0,02679= 0,06839UCL=0.0416+3
LCL=0.0416 – 0,02679 = 0, 01481
UCL/LCL =
p = average of all p values: (0,04+0,052+0,053+0,049+0,025)/5
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January 2014 Quality Management
Week
P r o p o r t
i o n
2018161412108642
0.10
0.09
0.08
0.07
0.06
0.05
0.04
0.03
0.02
0.01
_ P=0.0416
UCL=0.06839
LCL=0.01481
1
P Chart of Rejcted Invoices
When the process randomly fluctuates within the control limits, it is impactedonly by common causes of variation and considered stable, or in statistical control.If the process is in control , 99.73% of all the points will fall between the controllimits.
Upper ControlLimit
Lower ControlLimit
WithinControlLimits
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Control (p) Chart
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Week
P r o p o r t i o n
2018161412108642
0.10
0.09
0.08
0.07
0.06
0.05
0.04
0.03
0.02
0.01
_ P=0.0416
UCL=0.06839
LCL=0.01481
1
P Chart of Rejcted Invoices
Control (p) Chart
. Special CauseVariation
Variation thatdemonstrates adeviation from theprocess’ “steady
state”.
Common CauseVariation
Routine, inherent
process variation – the“steady state” variationthat persists over time.
P Chart of Rejected Invoices
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Run (x) Chart
Range of Daily Production Cost per Week
R a n g e
Week Number
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Control Chart
To construct a Control chart, we need
to establish a lower control limit, an
upper control limit, both for the
process averages (x) and for the
ranges (R)
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January 2014 Quality Management
R
chart
Sample # 8:00 8:30 9:00 9:30 10:00 10:30 11:00
1 10.0 7.0 5.0 9.0 2.0 2.0 5.0
2 1.0 4.0 2.0 3.0 4.0 4.0 6.0
3 4.0 10.0 6.0 7.0 2.0 8.0 4.0
4 9.0 2.0 2.0 3.0 6.0 8.0 10.0
5 8.0 8.0 3.0 1.0 1.0 6.0 3.0
Average 6.4 6.2 3.6 4.6 3.0 5.6 5.6
Range 9.0 8.0 4.0 8.0 5.0 6.0 7.0
Control (x – R) Chart
1.1)7.6577.0(0.5LCL
RAXLCL
9.8)7.6577.0(0.5UCLRAXUCL
x
2x
x
2x
= - =
- =
= + = + =
Subgroup
Size (n) A2 D3 D42 1.880 0.000 3.267
3 1.023 0.000 2.574
4 0.729 0.000 2.282
5 0.577 0.000 2.114
Subgroup
Size (n) A2 D3 D42 1.880 0.000 3.267
3 1.023 0.000 2.574
4 0.729 0.000 2.282
5 0.577 0.000 2.114
0.0
4.0
8.0
12.0
16.0
R
U C L
0.0
2.0
4.0
6.0
8.0
10.0 U C L
L C L
UCL = 8.9
LCL = 1.1
Compute and plot the controllimits for the “Averages” chart.
46
Xchart
LCL
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January 2014 Quality Management
Sample # 8:00 8:30 9:00 9:30 10:00 10:30 11:00
1 10.0 7.0 5.0 9.0 2.0 2.0 5.0
2 1.0 4.0 2.0 3.0 4.0 4.0 6.0
3 4.0 10.0 6.0 7.0 2.0 8.0 4.0
4 9.0 2.0 2.0 3.0 6.0 8.0 10.0
5 8.0 8.0 3.0 1.0 1.0 6.0 3.0
Average 6.4 6.2 3.6 4.6 3.0 5.6 5.6
Range 9.0 8.0 4.0 8.0 5.0 6.0 7.0
Control (x – R) Chart
Subgroup
Size (n) A2 D3 D42 1.880 0.000 3.267
3 1.023 0.000 2.574
4 0.729 0.000 2.282
5 0.577 0.000 2.114
Subgroup
Size (n) A2 D3 D42 1.880 0.000 3.267
3 1.023 0.000 2.574
4 0.729 0.000 2.282
5 0.577 0.000 2.114
0.0
4.0
8.0
12.0
16.0
R
U C L
0.0
2.0
4.0
6.0
8.0
10.0 U C L
L C L
UCL = 8.9
LCL = 1.1
Compute and plot the controllimits for the “Range” chart.
UCL = 14
LCL = 0
LCL = D3R
LCL = 0 x 6.7 = 0
UCL = D4R
UCL = 2.114 x 6.7 = 14
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R
chart
X
chart
LCL
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Control Chart
• As long as the variation is the result of
common causes such as statistical variation
only, the plotted data stays between theupper control limit and lower control limit
while varying about the center line or average.
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Overview of Total Quality Tools
Other tools:
• Statistical Process Control (SPC)•
5S• Flowcharts• Input-output diagram• Failure mode and effects analysis•
Design of Experiments (DOE)
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Overview of Total Quality Techniques
• Process Capability
• Quality Loss Function and Robust Engineering
• Risk Assesment
• Problem Solving and Decision Making
– PDCA
– 8D
– Kepner Traego
– Six Sigma
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Statistical Process Control (SPC)
• Traditionally, in mass-manufacturing,
traditionally, the quality of a finished article is
ensured by end of line inspection of the
product.• Each article (or a sample of articles from a
production lot) may be accepted or rejected
according to how well it meets its design
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Statistical Process Control (SPC)
• In contrast, SPC use statistical tools to observe
the performance of the production process in
order to predict significant variations which may
result in the production of a sub-standard article.• An advantage of SPC over end of line inspection is
that it allows early detection and prevention of
problems, rather than the correction of problems
after they have occurred
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Statistical Process Control (SPC)
• Statistical Process Control (SPC) is a statistical
method of separating variation resulting from
special causes from natural variation in order
to eliminate the special causes.• It is used to monitor processes and indicate
when they get out of control
• It can be applied to any process
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Collecting Data for an SPC Chart
• At least 20 subgroups of about n=5 data arerequired.
• The data within a subgroup should be collectedclose together in time (for example, 5 consecutively
produced parts)• Longer time intervals are used between subgroups.
(Depending on the process and purpose of thestudy, these time intervals could be 15 min., 30min., 1hr., 2 hr., or longer).
• Use a sampling frequency that captures normalchanges in the process (changes in material,operators, etc.).
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Collecting Data for an SPC Chart
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Measure 1 2 3 4 5 6 7 20
Time 08:00 09:00 10:00 11:00 12:00 13:00 14:00 ......... 03:00
Sample 1
Sample 2Sample 3
Sample 4
Sample 5
x x=
R R=
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Creating a SPC Chart
• Calculate the UCL and LCL
– In case of variable data also for the Range
• Create a SPC chart with time intervals on the horizontalaxis and x or p on the vertical axis
– In case of variable data create additional chart forRange
• Plot the UCL and LCL on the chart
• Start collecting data from the process
• Generally, the average and range are monitoredsimultaneously, so that the entire system can beevaluated
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Quality Management
SPC (X Bar and R) Chart
Range of Daily Production Cost per Week
X B a r C o n t r o l C h a r t – A v e r a g e D a i l y P r o d u c t i o n C o s t s b y W e e k
January 2014 57
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Interpretation of SPC charts
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Interpretation of SPC charts
• Out of Control Conditions:• If one or more points falls outside of the upper control limit
(UCL), or lower control limit (LCL). see section A
• If two out of three successive points fall in the area that isbeyond two standard deviations from the mean, eitherabove or below - see section B
• If four out of five successive points fall in the area that isbeyond one standard deviation from the mean, eitherabove or below - see section C
•
If there is a run of six or more points that are all eithersuccessively higher or successively lower - see section D
• If eight or more points fall on either side of the mean - seesection E
January 2014 Quality Management 59
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Interpretation of SPC charts
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SPC and Process Capability
• Does it mean that if all results on an SPC chart arewithin Control limits at least 99,73% of the productsare good?
• No, it only means that the process is under statistical
control• To determine if the process is producing only good
products we need to understand the relation betweencontrol limits and product specification
• A specification is an explicit set of requirements to be
satisfied by a material, design, product, or service=> PROCESS CAPABILITY
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Normal Distribution
• The central limit theorem states that under certain
(fairly common) conditions, the sum of many random
variables will have an approximately normal
distribution
January 2014 Quality Management 62
U p p e r C o n t r o l L i m i t
L o w e r C o n t r o l L i m i t
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January 2014 Quality Management
Properties of the Normal Distribution
99.73% of the parts will fall
between
+/- 3 standard deviations
from mean
68% of parts will fall
between
+/- 1 standard deviations
from the mean
95% of the parts will fall
between
+/- 2 standard deviations
from mean
63
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Standard deviation (Sigma)
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Standard deviation (Sigma)
January 2014 Quality Management 65
The standard deviation of a statisticalpopulation is the square root of its variance
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Example
•
Consider a population consisting of the following eight values:2 4 4 4 5 5 7 9
• These eight data points have the mean (average) of 40:8 =5
• To calculate the population standard deviation, first compute thedifference of each data point from the mean, and square the result ofeach:
• Next compute the average of these values, and take the square root:
• This is the population standard deviation; it is equal to the square root ofthe variance.
January 2014 Quality Management 66
Population vs sample standard
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Population vs sample standard
deviation
• The formula is valid only if the eight values webegan with form the complete population.
• If they instead were a random sample, drawn
from some larger, "parent" population, thenwe should have used 7 (which is n − 1) insteadof 8 (which is n) in the denominator of theformula, and then the quantity thus obtained
would have been called the sample standarddeviation
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Process capability
• Process capability shows the relationship
between the natural process limits (the
control limits) and specifications
• Process in (statistical) control vs. Capable
process
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January 2014 Quality Management
Specification Limits
LSL USL
Specification Limits areapplied to individual
measurements.
Specification limits are decided by people.
Control limits are determined by the data
(voice of the process).
69
LCL UCL
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January 2014 Quality Management
Process Capability Improvement
F r e q u e n c y
2.52.01.51.00.50.0
25
20
15
10
5
0
Histogram of Dimension B
After
F r e q u e n c y
2.52.01.51.00.50.0
20
15
10
5
0
Histogram of Dimension B (m.m.)
F r e q u e n c y
2.52.01.51.00.50.0
16
14
12
10
8
6
4
2
0
Histogram of Dimension B (m.m.)
LSL USL
LSL USL
Cut Dimension (mm)
Cut Dimension (mm)
Cut Dimension (mm)
Initial State:
POORCAPABILITY
After Modified
Collision Sensor
InstalledBETTER CAPABILITY
After Auto Clamp
Installed
HIGH PROCESS
CAPABILITY!
70
Cp Index Demonstrates Potential
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January 2014 Quality Management
Cp = (USL – LSL)/ 6s
Cp is the ratio of TotalTolerance to the 6sProcess Spread.
It shows how capable theprocess would be if it wereperfectly centered.
Cp = Potential Capability
Cp Index Demonstrates Potential
Capability
3s
L S L
U S L
L S L
L S L
U S L
U S L
Cp = 1
Cp = 2
3s
4s 4s
Cp =1.33
6s 6s
This is a
“Six Sigma”
process.
71
Cpk Index Demonstrates Actual
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Cpk Index Demonstrates Actual
Capability
Cp = 2
Cpk = 2
L S L
U S L
Cp = 2
Cpk = 1.33
When process is
centered, Cp = Cpk.
Cpk takes into
account any off-
centering that actualoccurs.
USL – Avg.
3sCpk =
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January 2014 Quality Management
Process Sigma Level - Table
Six Sigma “thinking” employs a 1.5 sigma shift.
For example: if a process exhibits 4 Sigma capability in the
short term, it would probably exhibit 2.5 Sigma capability in
the long term.
PPM Sigma Level
3.4 6
233 5
6210 4
66807 3308538 2
691462 1
73
Process Performance Index
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Process Performance Index
(Pp and Ppk)
• Process Performance Index basically tries toverify if the sample that you have generatedfrom the process is capable to meet the
requirements• It differs from Process Capability (Cp & Cpk) in
that Process Performance only applies to aspecific batch of material.
• An example of this is for a short pre-production run.
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Process Control and Capability
• Examples of process control and capability
• Three different production processes
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Process Control and Capability
January 2014 Quality Management 76
Sample
S a m p l e M e a n
30272421181512963
1.40
1.35
1.30
1.25
1.20
_ _ X=1.3022
UC L=1.4127
LCL=1.1916
Sample
S a m p l e R a
n g e
30272421181512963
0.4
0.3
0.2
0.1
0.0
_ R=0.1917
UC L=0.4053
LCL=0
Xbar-R Chart of Nugget Diameter
Process In Control (Stable)
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Process Control and Capability
January 2014 Quality Management 77
1.801.621.441.261.080.90
LSL
Process Data
Sample N 150
StDev(Within) 0.08320
StDev(Ov erall) 0.08138
LSL 0.80000
Target *
USL *
Sample Mean 1.30220
Potential (Within) C apability
CC pk 2.01
O v erall Capability
Pp *
P PL 2.06
PPU *
Ppk
C p
2.06
C pm *
*
C P L 2.01
C PU *
C pk 2.01
O bserv ed P erformance
PPM < LSL 0.00
PPM > USL *
PPM Total 0.00
Exp. Within Performance
PPM < LSL 0.00
PPM > U SL *
PPM Total 0.00
Exp. O v erall P erformance
PPM < LSL 0.00
PPM > USL *
PPM Total 0.00
Within
Overall
Process Capability of Nugget Diameter
Process Is Capable (Cpk > 1.67)
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Process Control and Capability
January 2014 Quality Management 78
Sample
S a m
p l e M e a n
24222018161412108642
730.0
727.5
725.0
722.5
720.0
_ _ X=725.25
UC L=730.85
LCL=719.64
Sample
S a m p l e R
a n g e
24222018161412108642
20
15
10
5
0
_ R=7.69
UC L=17.55
LCL=0
Xbar-R Chart of Preform Length
Process In Control (Stable)
l d b l
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Process Control and Capability
January 2014 Quality Management 79
724720716712708704700
LSL USL
Process Data
Sample N 120
Shape 1.67064
Scale 7.84297
Threshold 701.20479
LSL 700.00000
Target *
USL 720.00000
Sample Mean 708.21482
Overall C apability
Pp 0.83
PPL 1.22
P PU 0.69
P pk 0.69
Observed Performance
P PM < LS L 0.00
PPM > USL 8333.33
PPM Total 8333.33
Exp. Ov erall Performance
PPM < LSL 0.0
PPM > USL 13481.4
PPM Total 13481.4
Process Capability of Preform LengthCalculations Based on Weibull Distribution Model
Process Is Not Capable (Ppk < 1.67)
l d b l
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Process Control and Capability
January 2014 Quality Management 80
Sample
S a m p l e M e a n
24222018161412108642
0.031
0.030
0.029
0.028
0.027
_ _ X=0.028057
UC L=0.029480
LCL=0.026634
Sample
S a m p
l e R a n g e
24222018161412108642
0.0060
0.0045
0.0030
0.0015
0.0000
_
R=0.002468
UC L=0.005218
LCL=0
1
Xbar-R Chart of Strip Caster Thickness
Special Cause
Process Not In Control (Not Stable)
P C t l d C bilit
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Process Control and Capability
January 2014 Quality Management 81
Thickness
F r e q u e n c y
0.0340.0320.0300.0280.0260.0240.0220.020
20
15
10
5
0
Histogram of Strip Caster Thickness
LSL=
0.024
USL=
0.030
Process Is Not Capable(Cpk will be calculated after special cause is eliminated.)
P C l d C bili
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Process Control and Capability
• Determine what to measure, and verify measurementsystem
• Determine appropriate sub grouping, and collect data in
time order.
• Create control chart and assess stability.
– If special cause(s) present, then remove the special
cause(s), collect new data.
(Apply problem solving: KT, 8D, etc.)
January 2014 Quality Management 82
P C l d C bili
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Process Control and Capability
• Once stable, evaluate process capability. – Make histogram.
– Check for normality.
– Compute Cpk or Ppk, PPM.
–
If not capable, then reduce variation (conduct DOE ifneeded), and collect new data.
(Note: Cpk/Ppk > 1.67 is often the goal.)
• Establish preventive maintenance
(needed to maintain stable & capable condition).
January 2014 Quality Management 83
P C l d C bili
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Process Control and Capability
• A process is in statistical control when it is stableover time, and therefore predictable
• Common Capability Indices:
– Cp, Cpk (used when data isnormal and process is in control)
– Pp, Ppk (used for non-normal data, and for processesthat have not yet been stabilized).
January 2014 Quality Management 84
P C t l d C bilit
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Process Control and Capability
• If we produce a product in a stable andcapable process it means that almost all parts
are produced within the tolerance limits
(99,9777% with Cpk of 1,67)• Does that mean that all those products have
same quality?
January 2014 Quality Management 85
Q lit L F ti (T hi)
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Quality Loss Function (Taguchi)
• Taguchi showed that "loss" in capabilities did notbegin only after exceeding these tolerances, butincreased as described by the Taguchi LossFunction at any condition exceeding the nominal
condition• The customer wants a target value
– => any deviation will cause loss
• The quality loss function attempts to measure
quality as loss due to deviation from target• Highest quality system is the one which has the
least functional variability
January 2014 Quality Management 86
Q lit L F ti
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Quality Loss Function
January 2014 Quality Management 87
The quality loss function is quantitative evaluation ofloss caused by functional variation of a product
USL LSL
Q lit L F ti
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Quality Loss Function
• Quality Loss Function approach aims atimproving Quality by reducing the functional
variation of a product.
Another approach
• Robust Engineering
January 2014 Quality Management 88
R b t E i i
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Robust Engineering
January 2014 Quality Management 89
• Robustness is the state where technology,product or process performance is minimally
sensitive to factors causing variability (in
user’s environment and manufacturing) at thelowest cost.
Robust Engineering
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90
Robust Engineering
• Robust Engineering isprevention.
• Robust Engineering focuses
on …
How to prevent failures,
How to reduce
variability in product
function,
How to reduce cost.
Applicable in:
•Electronic
•Mechanical
•Chemical•Software
Engineering
Systems
January 2014 Quality Management
Robust Engineering
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91
Robust ngineering
All failures and defects are caused by 3 types of noise: Various usage conditions
•End-user/ Environmental conditions
•Neighboring subsystems
Deterioration or wear (degradation over time) Individual difference (manufacturing
imperfections)
How can we prevent problems due to these types of
noise factors?
January 2014 Quality Management
Robust Engineering
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92
Countermeasures against Noise
1. Ignore
2. Control/ eliminate Noise (reactive)
(standardization, control charting, Error Proofing,
Tolerance design)3. Compensate effect of Noise
(feedback control, feed-forward control)
4. Minimize effect of Noise (proactive)
(Robust optimization – Parameter Design)
The more we can do #4, the less money we spend on the
others.
$$$
Robust Engineering
January 2014 Quality Management
Quality Loss Function vs. Robust
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y
Engineering
• Quality Loss Function approach aims atimproving Quality by reducing the functional
variation of a product.
while
• Robust Engineering approach aims at
improving Quality by minimizing the
sensitiveness of a product to factors causingvariability (noise)
January 2014 Quality Management 93
Quality Loss Function vs. Robust
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y
Engineering
January 2014 Quality Management 94
Target
Quality Loss
0 Value
Robust
Engineering
Quality Loss
Function
5S
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5S
• 5S is the name of a workplace organizationmethodology
• It describes how to organize a work space for
efficiency and effectiveness by identifying andstoring the items used, maintaining the area
and items, and sustaining the new order.
January 2014 Quality Management 95
5S
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5S(Seri, Seiton, Seiso, Seiketsu, Shitsuke)
• 1S - Separate and Scrap – Sort useful form useless
• 2S – Straighten – Everything in its place
• 3S – Scrub – Workplace and equipment clean
• 4S – Standardize – Select the best practice
• 5S – Sustain
– Make sure rules are followedBy organizing the workplace, unstable or wasteful situationsbecome visible earlier, allowing for a quick, effective response.
January 2014 Quality Management 96
Purpose of 5S
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Purpose of 5S
A structured system to make
abnormalities stick out
These abnormalities can then
be addressed
January 2014 Quality Management 97
5S example
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5S example
January 2014 Quality Management 98
Flowchart
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Flowchart
January 2014 Quality Management
A flowchart is a picture of the separate steps of a process in
sequential order
High level flowchart
99
Flowchart
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Flowchart
January 2014 Quality Management
Detailed flowchart
100
The Input-Process-Output (IPO)
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Diagram
• IPO Diagrams are “high-level” process maps.
– Input: Substance(s) that enter the system.
– Process: Actions taken upon or using theinput.
– Output: Tangible item(s) that result from
the processing, and exit the process.
January 2014 Quality Management 101
IPO High Level Process Maps
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IPO - High Level Process Maps
Post Position
Review Resumes
Select Candidates
Interview
Make Offer
INPUTS PROCESS OUTPUTS
• Personnel Request Form
• Candidates for the
position
• Resumes
• Person placed in position
• Rejected candidates
• Closed-out PR Form
“Hire Employee”
January 2014 Quality Management 102
Risk Assessment
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Risk Assessment
• Risk assessment is the determination ofquantitative or qualitative value of risk related
to a concrete situation and a recognized threat
• Quantitative risk assessment requirescalculations of two components of risk (R):,
the magnitude of the potential loss (L), and
the probability (p) that the loss will occur• Total Risk: R = L x p
January 2014 Quality Management 103
Risk Assessment
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Risk Assessment
• Important problem of products are risks whichare caused by bad or insufficent quality. In the
first line these are safety risks (danger to
human life, health, property). Both in theproduction phase and usage phase
• Producer and/or distributor has a moral and
legal responsibilty for the risks in usage phase..
January 2014 Quality Management 104
Risk Assessment
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Risk Assessment
January 2014 Quality Management 105
often
possible
seldom
not
probable
small medium big
catastrop
hicPotential
damage
Damage
occurence
Area of extreme
risks
Product liability
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Product liability
• Product liability is the area of law in whichmanufacturers, distributors, suppliers,retailers, and others who make productsavailable to the public are held responsible forthe injuries those products cause.
• Although the word "product" has broadmeaning, product liability as an area of law is
traditionally limited to products in the form oftangible personal property.
January 2014 Quality Management 106
Product liability
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Product liability
Types of liability:
• Manufacturing defect, – Manufacturing defects are those that occur in the
manufacturing process and usually involve poor-qualitymaterials or poor workmanship
• Design defect, – Design defects occur where the product design is inherently
dangerous or useless (and hence defective) no matter howcarefully manufactured
• Failure to warn – Failure-to-warn defects arise in products that carry inherent
nonobvious dangers which could be mitigated through adequatewarnings to the user, and these dangers are present regardlessof how well the product is manufactured and designed for itsintended purpose.
January 2014 Quality Management 107
Product liability
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Product liability
European Union:
European Union Directive 85/374/EEC
Czech Republic
Zákon č. 59/1998 Sb. o odpovědnosti za škodu
způsobenou vadou výrobku
January 2014 Quality Management 108
Risk management
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Risk management
• In design and development – DFMEA
– Design verification
– Design validation
– Prototyping and testing
• In production – PFMEA
– SPC
– Poka Yoke
– Final product inspection / Product audit – (Quick) Problem Solving
January 2014 Quality Management 109
FMEA
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FMEA
• Failure modes and effects analysis (FMEA) is astep-by-step approach for identifying all possiblefailures in a design, a manufacturing or assemblyprocess, or a product or service.
• “Failure modes” means the ways, or modes, inwhich something might fail. Failures are anyerrors or defects, especially ones that affect thecustomer, and can be potential or actual.
• “Effects analysis” refers to studying theconsequences of those failures.
January 2014 Quality Management 110
FMEA
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FMEA
• The purpose of the FMEA is to take actions toeliminate or reduce failures, starting with thehighest-priority ones.
• Failure modes and effects analysis also
documents current knowledge and actions aboutthe risks of failures, for use in continuousimprovement.
• FMEA is used during design to prevent failures.
• Ideally, FMEA begins during the earliestconceptual stages of design and continuesthroughout the life of the product or service.
January 2014 Quality Management 111
FMEA
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FMEA
• Failures are prioritized according to – how serious their consequences are
• (severity)
– how frequently they occur• (occurrence)
– how easily they can be detected
• (detection).
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Occurrence
• Rating Meaning
• 1 No known occurrences on similar products or processes
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• 1 No known occurrences on similar products or processes
• 2/3 Low (relatively few failures)
• 4/5/6 Moderate (occasional failures)
• 7/8 High (repeated failures)
• 9/10 Very high (failure is almost inevitable
• Rating Meaning
• 1 No effect
• 2 Very minor (only noticed by discriminating customers)
• 3 Minor (affects very little of the system, noticed by average customer)
•
4/5/6 Moderate (most customers are annoyed)• 7/8 High (causes a loss of primary function; customers are dissatisfied)
• 9/10 Very high and hazardous (product becomes inoperative; customers angered; the failure may result unsafe
operation and possible injury)
• Rating Meaning
• 1 Certain - fault will be caught on test
• 2 Almost Certain
• 3 High
• 4/5/6 Moderate
• 7/8 Low
• 9/10 Fault will be passed to customer
January 2014 Quality Management
Severity
Detection
113
FMEA process
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FMEA process
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RPN (Risk Priority Number) = S x O x D
FMEA example
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FMEA example
January 2014 Quality Management 115
FMEA example
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FMEA example
January 2014 Quality Management 116
FMEA cycle
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FMEA cycle
January 2014 Quality Management 117
Types of FMEA
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Types of FMEA
• Process: analysis of manufacturing and assembly processes
• Design: analysis of products prior to production
• Concept: analysis of systems or subsystems in the earlydesign concept stages
• Equipment: analysis of machinery and equipment designbefore purchase
• Service: analysis of service industry processes before theyare released to impact the customer
• System: analysis of the global system functions• Software: analysis of the software functions
January 2014 Quality Management 118
Design of Experiments
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Design of Experiments
• Design of experiments (DOE) is a sophisticatedmethod for experimenting with complexprocesses for the purpose of optimizing them.
•
DOE allows multiple factor adjustmentssimultaneously
• It reduces the number of tests needed to findan optimal situation by factor 10
• It also shows which factors are critical andwhich are not
January 2014 Quality Management 119
Problem Solving and Decision Making
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Problem Solving and Decision Making
• A problem is a situation in which what exists doesnot match what is desired or, put another way, thediscrepancy between the current and the desired
state of affairs.
• Problem solving in a total quality setting is notabout putting out fires. It is about continual
improvement.
January 2014 Quality Management 120
Problem Solving and Decision Making
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Problem Solving and Decision Making
• Securing reliable information is an importantpart of problem solving and decision making.Recommended tools:
Cause-and-effect diagrams
Flowcharts
Pareto charts
Run charts
Histograms
Control charts Scatter diagrams
January 2014 Quality Management 121
PDCA
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PDCA
January 2014 Quality Management
Identify and analyze the problem. Set a
measurable goal . Identify root cause(s) of the
problem
Develop and implement the solution
Evaluate the actual results (measured andcollected in "DO" above) and compare against
the expected results (targets or goals from the
"PLAN") to ascertain any differences
Request corrective actions onsignificant differences between actual
and planned results . Standardize the
solutions
122
8D methodology (TOPS)
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January 2014 Quality Management 123
8D methodology
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gy
• D0: Problem Awareness: – Plan for solving the problem and determine the
prerequisites.
• D1: Team:
– Establish a team of people with product/processknowledge.
• D2: Defining the Problem:
– Specify the problem by identifying in quantifiableterms the who, what, where, when, why, how, andhow many (5W2H) for the problem.
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8D methodology
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gy
• D3: Contain : – Define and implement containment actions to isolate
the problem from any customer
– Verify effectiveness of actions
• D4: Diagnose (Define and verify root causes) : – Identify all applicable causes that could explain why
the problem has occurred.
– Identify why the problem has not been noticed at thetime it occurred.
– All causes shall be verified or proved byexperimentation and statistical data, not determinedby fuzzy brainstorming.
January 2014 Quality Management 125
8D methodology
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gy
• D5: Action (Choose and verify permanent correctiveactions) – Verify that the correction will actually solve the problem
– Evaluate the degree of problem reduction or elimination
• D6: Verify – Verify the effectiveness of the corrective actions
• D7: Prevent (Take Preventive Measures): – Modify the management systems, operation systems,
practices, and procedures to prevent recurrence of this
and all similar problems.• D8: Closure:
– Recognize the collective efforts of the team.
January 2014 Quality Management 126
8D and FMEA
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• The Failure Modes in a FMEA are equivalentto the problem statement or description in an8D.
•
Causes in a FMEA are equivalent to potentialcauses in an 8D.
• Effects of failure in a FMEA are problemsymptoms in an 8D.
January 2014 Quality Management 127
Diagnose the problem
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Continuous Improvement
Basic 5 times Why
The intent of asking "Five times Why“ is to assure that the root causes and
not symptoms are corrected.
The "Five-Why Process" was introduced at Toyota to find solution to
manufacturing problems, but this approach can be applied to any other areaas well.
Ask "Why this problem happened?" to discover its underlying problem then
ask "Why?" again to go deeper by another level until you reach the root cause.
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5 times Why
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Continuous Improvement
Why did the machine stop?
A fuse in the machine has blown
Why did the fuse blow?
Circuits overloaded
Why did the circuit overload?
The bearings have been damaged and locked up
Why have the bearings been damaged?
There was insufficient lubrication
Why was there insufficient lubrication?
The oil pump on the machine is not circulating enough oil
Why is the pump not circulating enough oil?
Pump intake is clogged with metal shavings
Why is the intake clogged with metal shavings?
There is no filter on the pump intake
Asking "why" repeatedly, possibly more than five times, directs the focus towards real
causes, so problems can be solved permanently.
January 2014 Quality Management 129
D4 – Use Problem Solving Tools to Diagnose
the probable Root Cause
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Continuous Improvement
“Problem Analysis (PA)“ is used to find the true cause of a positive or
negative deviation.
When people, machinery, systems or processes are not performing asexpected, problem analysis provides a structured process to identify and verify
the cause.
The PA process describes the problem with a clear Problem Statement and
Problem Specification (“IS / IS NOT”).
January 2014 Quality Management 130
IS / IS NOT
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Continuous ImprovementJanuary 2014 Quality Management 131
Six Sigma
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g
• The most complex and sophisticated
methodology, within Total Quality, for
problem solving and process improvements isSix Sigma