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WELCOME
TRAINING PROGRAMME ON
STATISTICAL PROCESS
CONTROL
STATISTICAL PROCESS
CONTROL
CONTENT
1.INTRODUCTION
2.PROCESS CONTROL
3.VARIATION
4.CAUSES
5.STATISITICAL CONTROL
STATISTICAL PROCESS
CONTROL
CONTENT
6.TOOLS FOR STATISTICAL CONTROL
7.PROCESS CAPABILITY
8.PROCESS CAPABILITY INDICES
9.CONTROL CHART TYPES
10 CONTROL CHART MEHODOLOGY
EVALUATION
Mistake Proofing 100% Inspection Statistical Process Control
In this
method more
advanced and
modern
techniques are
used which
require
substantial
investment
during its
installation and
maintenance.
As it is detection type
of technique it
can’t avoid failure
but rejects
defective products.
Requires more
inspectors, more
inspection times
and in turn more
cost.
For this technique investment
is very less and process is
controlled on each
workstation therefore
defective components is not
forwarded to next
operation. Predictability
reduces frequent
adjustments & in turn
increases productivity,
reduces inspection cost at
station & at final inspection
SPC
The Use of Statistical Techniques such as
Control charts to analyze the process or its
output so as to take appropriate action to
achieve and maintain a state of statistical
Control and to Improve the process
Stability.
QUALITY OF CONFORMANCE
Vs
CONFORMANCE TO
SPECIFICATION
PROCESS CONTROL
THREE TYPES OF PROCESS CONTROL
PREVENTION OF DEFECTS
* MISTAKE PROOFING
DETECTION OF CAUSES AND LEAD TO
CORRECTIVE ACTION
* VISUAL CONTROL, SPC
DETECTION OF DEFECTS
* INSPECTION
VARIATION
PRINCIPLES OF SPC
 VARIATION IS INEVITABLE
 VARIATION IS MEASURABLE
STATISTICAL PROCESS
CONTROL
STATISTICAL PROCESS CONTROL
 10 % IS STATISTICS
 90 % IS PRODUCT & PROCESS
KNOWLEDGE
STATISTICS
DETERMINE WHICH SAMPLE IS GOOD ?
SAMPLE –1
15,15,14,15,16,15,15
SAMPLE –2
14,15,20,15,16,10,15
SAMPLE - 3
19,20,15,14,11,10,16
STATISTICS
HENCE WE NEED TO CAPTURE
 AVERAGE
 RANGE
 STANDARD DEVIATION
TO EVALUATE SAMPLES
VARIATION & CAUSES
TYPES OF VARIATION
RANDOM VARIATION
NON RANDOM VARIATION
CAUSES OF VARIATION
COMMON OR CHANCE CAUSES
 SPECIAL OR ASSIGNABLE CAUSES
CAUSES
COMMON CAUSES SPL./ASSIGNABLE
FEW IN NOS. PLENTY IN NOS.
VARIATION IS LOW VARIATION IS HIGH
PART OF THE
PROCESS
VISITOR TO THE
PROCESS
CONSTANT
VARIATION
FLUCTUATING
VARIATION
CAUSES
COMMON CAUSES SPL./ASSIGNABLE
STATISTICS
APPLICABLE
STATISTICS CANNOT
APPLY
MANAGEMENT
CONTROLLABLE
OPERATOR
CONTROLLABLE
e.g Pressure variation,
Environment variation
e.g Wrong setting, wrong
master
REDUCTION LEAD
TO IMPROVEMENT
ELIMINATION LEAD
TO MAINTENANCE
TOOLS FOR CONTROL
HISTOGRAM ----------- BELL SHAPE
CONTROL CHART-- NO OUT OF
CONTROL
NORMAL DISTRIBUTION
TAKE A SAMPLE OF 100
ASSUME MEAN = 50.00
S. D. = 1.5
48.5 -------------51.5 (1sigma) 68.20%
47.0--------------53.0 (2Sigma) 95.4%
45.5--------------54.5 (3Sigma) 99.73%
NORMAL DISTRIBUTION
 WHEN AVERAGE, MEDIAN & MODE
IS SAME
AVERAGE OF ALL VARIABLE DATA
FOLLOWS NORMAL DISTRIBUTION
ELONGATION,UTS,TWIST,OVALITY,
ETC., LIKE ONE SIDED DOES NOT
FOLLOW NORMAL DISTRIBUTION
STATISTICAL CONTROL &
PROCESS CAPABILITY
A PROCESS FREE FROM ASSIGNABLE
CAUSES (PREDICTABLE PROCESS)
PROCESS CAPABILITY
IS
A MEASURE OF INHERENT
VARIATION
(MANAGEMENT CONTROLLABLE)
PROCESS CAPABILITY
Cp=Potential Process Capability Index
Cp = TOLERANCE
----------------------
TOTAL VARIATION
(6 SIGMA)
PROCESS CAPABILITY
INDICES
TV Vs TOL PPM LEVELS
6 SIGMA > TOL
125 > 100
Cp = 0.8
HIGHER REJECTION
6 SIGMA = TOL
100 = 100
Cp = 1.0
2700 PPM
6 SIGMA < TOL
75 < 100
Cp = 1.33
64 PPM
6 SIGMA < TOL
60 < 100
Cp = 1.67
4 PPM
PROCESS CAPABILITY INDICES
 Cp DOES NOT SPECIFY WHERE THE PROCESS
IS CENTERED.
 HENCE WE NEED TO HAVE ONE MORE INDEX
TO MEASURE ACTUAL PROCESS CAPABILITY
 Cpk = ACTUAL PROCESS CAPABILITY INDEX
 Cpk = Min ( USL – AVG / 3 SIGMA, AVG – LSL/ 3
SIGMA)
 USE Cp AND Cpk TOGETHER
 Cpk CANNOT EXCEED Cp
PROCESS CAPABILITY INDICES
Pp & Ppk Cp &Cpk
PROCESS
PERFORMANCE INDEX
PROCESS CAPABILITY
INDEX
USED DURING INITIAL
PROCESS STUDY
DURING PPAP
ONGOING PROCESS
CAPABILITY STUDY
CAN BE CAPTURED FOR
STABLE AND
CHRONICALLY
UNSTABLE PROCESSES
USED ONLY FOR
STABLE PROCESSES
PROCESS CAPABILITY INDICES
Pp & Ppk Cp &Cpk
CAPTURES VARIATION
DUE TO BOTH
COMMON & SPECIAL
CAUSES
CAPTURES VARIATION
DUE TO COMMON
CAUSES ONLY
SIGMA IS CALCULATED
USING n-1 FORMULA
USING ALL INDIVIDUAL
READINGS
SIGMA IS CALCULATED
USING R bar / d2
FORMULA
Ppk > 1.67 Cpk > 1.33
CONTROL CHARTS
OBJECTIVES OF CONTROL CHART
TO DETECT SPECIAL/ASSIGNABLE
CAUSES
TO MAINTAIN THE ACHIEVED
PROCESS CAPABILITY
TO IDENTIFY THE OPPORTUNITY
FOR IMPROVEMENT
CONTROL CHART STEPS
1. GATHER DATA
2. INITIAL STUDY
3. CALCULATE CONTROL LIMITS
4. ESTABLISH ONGOING CONTROL
CHART
5. MONITOR, REVIEW AND IMPROVE
PROCESS CAPABILITY
1.GATHER DATA
ELIMINATE OBVIOUS DEFICIENCIES
IDENDTIFY THE FACTORS AFFECTING
AVG. & RANGE
UNDERSTAND PROCESS THROUGH
MASTER CAUSE & WHY WHY ANALYSIS
PLAN SAMPLE SIZE, FREQ, CONTROL
CHART,NO. OF SUBGROUPS,ETC.,
SELECTION OF CHARTS
X BAR & R CHART
MOST SENSITIVE CHART
MEDIAN & R CHART
Used to compare output of several process e.g.
same parts from two supplier.
X BAR & S CHART
SUBGROUP IS > 9,
Process is stable & in control and the objective is
to reduce variation.
SELECTION OF CHARTS
X & MR CHART
WHERE NOT SUITABLE FOR SUBGROUP
SAMPLING
 INSPECTION IS COSTLY/ DESTRUCTIVE
IN NATURE , long time inspection .
GATHER DATA
RECORD PROCESS EVENTS WHILE
COLLECTION OF DATA
INTERPRETATION FOR
CONTROL
FOCUS ON RANGE CHART
ALL 4 CONDITIONS ARE CHECKED
AND APPROPRIATE ANALYSIS
MADE AND CAUSES IDENTIFIED FOR
ALL 4 OUT OF CONTROL
CONDITIONS
INTERPRETATION FOR
CAPABILITY
CALCULATE SIGMA, 6 SIGMA, Cp,Cpk
IF Cpk < 1.33 INITIATE CA TO IMPROVE
THE VALUE
INITIATE CA PLAN FOR PROCESSES NOT
UNDER STATISTICAL CONTROL
IF Cpk >1.33 ESATBLISH ONGOING
CONTROL
EFFECTIVENESS OF SPC
MEASURED BY
IMPROVED PROCESS KNOWLEDGE
REVIEW AND REVISION OF UCL/LCL
REDUCTION IN REJECTION ( ACTUAL Vs
ESTIMATED)
IMPROVED PRODUCTIVITY
LESS INSPECTION AND ADJUSTMENT
CUSTOMER SATISFACTION DUE TO LESS
VARIATION
ATTRIBUTE CHART
P-CHART
- PROPORTION OF UNIT NONCONFORMING
- SAMPLE SIZE NEED NOT BE EQUAL
np-CHART
- NUMBER OF UNITS NONCONFORMING
- SAMPLE SIZE MUST BE EQUAL
ATTRIBUTE CHART
C – CHART
- NUMBER OF NONCONFORMITIES
- SAMPLE SIZE MUST BE EQUAL
U – CHART
- NUMBER OF NONCONFORMITIES PER UNIT
- SAMPLE SIZE NEED NOT BE EQUAL
OPERATOR’s ROLE FOR ONE SUBGROUP
PLOTTING
1. CHECK AS PER CONTROL PLAN
2. CALCULATE AVG/RANGE/INDIVIDUALS
3. PLOT THE SAME IN CONTROL CHART
4. CHECK THE PLOTTED POINT IS IN CONTROL ( REFER
4 CONDITIONS IN CONTROL CHART)
5. IF IT IS IN CONTROL, CONTINUE THE PROCESS
6. ELSE, STOP THE PROCESS, TAKE CORRECTIVE
ACTION & DISPOSITION ACTION AS PER REACTION
PLAN
7. RECORD THE PROCESS EVENTS INCLUDING OUT OF
CONTROL CONDITIONS
EFFECT OF OVER
ADJUSTMENT
IF A STABLE PROCESS IS ADJUSTED ON THE
BASIS OF EACH MEASUREMENT MADE, THEN
THE ADJUSTMENT BECOMES AN ADDITIONAL
SOURCE OF VARIATION
 OVER ADJUSTMENT WILL INCREASE THE
VARIATION
Thank you

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Statistical Process Control for learning

  • 3. STATISTICAL PROCESS CONTROL CONTENT 6.TOOLS FOR STATISTICAL CONTROL 7.PROCESS CAPABILITY 8.PROCESS CAPABILITY INDICES 9.CONTROL CHART TYPES 10 CONTROL CHART MEHODOLOGY EVALUATION
  • 4. Mistake Proofing 100% Inspection Statistical Process Control In this method more advanced and modern techniques are used which require substantial investment during its installation and maintenance. As it is detection type of technique it can’t avoid failure but rejects defective products. Requires more inspectors, more inspection times and in turn more cost. For this technique investment is very less and process is controlled on each workstation therefore defective components is not forwarded to next operation. Predictability reduces frequent adjustments & in turn increases productivity, reduces inspection cost at station & at final inspection
  • 5. SPC The Use of Statistical Techniques such as Control charts to analyze the process or its output so as to take appropriate action to achieve and maintain a state of statistical Control and to Improve the process Stability.
  • 7. PROCESS CONTROL THREE TYPES OF PROCESS CONTROL PREVENTION OF DEFECTS * MISTAKE PROOFING DETECTION OF CAUSES AND LEAD TO CORRECTIVE ACTION * VISUAL CONTROL, SPC DETECTION OF DEFECTS * INSPECTION
  • 8. VARIATION PRINCIPLES OF SPC  VARIATION IS INEVITABLE  VARIATION IS MEASURABLE
  • 9. STATISTICAL PROCESS CONTROL STATISTICAL PROCESS CONTROL  10 % IS STATISTICS  90 % IS PRODUCT & PROCESS KNOWLEDGE
  • 10. STATISTICS DETERMINE WHICH SAMPLE IS GOOD ? SAMPLE –1 15,15,14,15,16,15,15 SAMPLE –2 14,15,20,15,16,10,15 SAMPLE - 3 19,20,15,14,11,10,16
  • 11. STATISTICS HENCE WE NEED TO CAPTURE  AVERAGE  RANGE  STANDARD DEVIATION TO EVALUATE SAMPLES
  • 12. VARIATION & CAUSES TYPES OF VARIATION RANDOM VARIATION NON RANDOM VARIATION CAUSES OF VARIATION COMMON OR CHANCE CAUSES  SPECIAL OR ASSIGNABLE CAUSES
  • 13. CAUSES COMMON CAUSES SPL./ASSIGNABLE FEW IN NOS. PLENTY IN NOS. VARIATION IS LOW VARIATION IS HIGH PART OF THE PROCESS VISITOR TO THE PROCESS CONSTANT VARIATION FLUCTUATING VARIATION
  • 14. CAUSES COMMON CAUSES SPL./ASSIGNABLE STATISTICS APPLICABLE STATISTICS CANNOT APPLY MANAGEMENT CONTROLLABLE OPERATOR CONTROLLABLE e.g Pressure variation, Environment variation e.g Wrong setting, wrong master REDUCTION LEAD TO IMPROVEMENT ELIMINATION LEAD TO MAINTENANCE
  • 15. TOOLS FOR CONTROL HISTOGRAM ----------- BELL SHAPE CONTROL CHART-- NO OUT OF CONTROL
  • 16. NORMAL DISTRIBUTION TAKE A SAMPLE OF 100 ASSUME MEAN = 50.00 S. D. = 1.5 48.5 -------------51.5 (1sigma) 68.20% 47.0--------------53.0 (2Sigma) 95.4% 45.5--------------54.5 (3Sigma) 99.73%
  • 17. NORMAL DISTRIBUTION  WHEN AVERAGE, MEDIAN & MODE IS SAME AVERAGE OF ALL VARIABLE DATA FOLLOWS NORMAL DISTRIBUTION ELONGATION,UTS,TWIST,OVALITY, ETC., LIKE ONE SIDED DOES NOT FOLLOW NORMAL DISTRIBUTION
  • 18. STATISTICAL CONTROL & PROCESS CAPABILITY A PROCESS FREE FROM ASSIGNABLE CAUSES (PREDICTABLE PROCESS) PROCESS CAPABILITY IS A MEASURE OF INHERENT VARIATION (MANAGEMENT CONTROLLABLE)
  • 19. PROCESS CAPABILITY Cp=Potential Process Capability Index Cp = TOLERANCE ---------------------- TOTAL VARIATION (6 SIGMA)
  • 20. PROCESS CAPABILITY INDICES TV Vs TOL PPM LEVELS 6 SIGMA > TOL 125 > 100 Cp = 0.8 HIGHER REJECTION 6 SIGMA = TOL 100 = 100 Cp = 1.0 2700 PPM 6 SIGMA < TOL 75 < 100 Cp = 1.33 64 PPM 6 SIGMA < TOL 60 < 100 Cp = 1.67 4 PPM
  • 21. PROCESS CAPABILITY INDICES  Cp DOES NOT SPECIFY WHERE THE PROCESS IS CENTERED.  HENCE WE NEED TO HAVE ONE MORE INDEX TO MEASURE ACTUAL PROCESS CAPABILITY  Cpk = ACTUAL PROCESS CAPABILITY INDEX  Cpk = Min ( USL – AVG / 3 SIGMA, AVG – LSL/ 3 SIGMA)  USE Cp AND Cpk TOGETHER  Cpk CANNOT EXCEED Cp
  • 22. PROCESS CAPABILITY INDICES Pp & Ppk Cp &Cpk PROCESS PERFORMANCE INDEX PROCESS CAPABILITY INDEX USED DURING INITIAL PROCESS STUDY DURING PPAP ONGOING PROCESS CAPABILITY STUDY CAN BE CAPTURED FOR STABLE AND CHRONICALLY UNSTABLE PROCESSES USED ONLY FOR STABLE PROCESSES
  • 23. PROCESS CAPABILITY INDICES Pp & Ppk Cp &Cpk CAPTURES VARIATION DUE TO BOTH COMMON & SPECIAL CAUSES CAPTURES VARIATION DUE TO COMMON CAUSES ONLY SIGMA IS CALCULATED USING n-1 FORMULA USING ALL INDIVIDUAL READINGS SIGMA IS CALCULATED USING R bar / d2 FORMULA Ppk > 1.67 Cpk > 1.33
  • 24. CONTROL CHARTS OBJECTIVES OF CONTROL CHART TO DETECT SPECIAL/ASSIGNABLE CAUSES TO MAINTAIN THE ACHIEVED PROCESS CAPABILITY TO IDENTIFY THE OPPORTUNITY FOR IMPROVEMENT
  • 25. CONTROL CHART STEPS 1. GATHER DATA 2. INITIAL STUDY 3. CALCULATE CONTROL LIMITS 4. ESTABLISH ONGOING CONTROL CHART 5. MONITOR, REVIEW AND IMPROVE PROCESS CAPABILITY
  • 26. 1.GATHER DATA ELIMINATE OBVIOUS DEFICIENCIES IDENDTIFY THE FACTORS AFFECTING AVG. & RANGE UNDERSTAND PROCESS THROUGH MASTER CAUSE & WHY WHY ANALYSIS PLAN SAMPLE SIZE, FREQ, CONTROL CHART,NO. OF SUBGROUPS,ETC.,
  • 27. SELECTION OF CHARTS X BAR & R CHART MOST SENSITIVE CHART MEDIAN & R CHART Used to compare output of several process e.g. same parts from two supplier. X BAR & S CHART SUBGROUP IS > 9, Process is stable & in control and the objective is to reduce variation.
  • 28. SELECTION OF CHARTS X & MR CHART WHERE NOT SUITABLE FOR SUBGROUP SAMPLING  INSPECTION IS COSTLY/ DESTRUCTIVE IN NATURE , long time inspection .
  • 29. GATHER DATA RECORD PROCESS EVENTS WHILE COLLECTION OF DATA
  • 30. INTERPRETATION FOR CONTROL FOCUS ON RANGE CHART ALL 4 CONDITIONS ARE CHECKED AND APPROPRIATE ANALYSIS MADE AND CAUSES IDENTIFIED FOR ALL 4 OUT OF CONTROL CONDITIONS
  • 31. INTERPRETATION FOR CAPABILITY CALCULATE SIGMA, 6 SIGMA, Cp,Cpk IF Cpk < 1.33 INITIATE CA TO IMPROVE THE VALUE INITIATE CA PLAN FOR PROCESSES NOT UNDER STATISTICAL CONTROL IF Cpk >1.33 ESATBLISH ONGOING CONTROL
  • 32. EFFECTIVENESS OF SPC MEASURED BY IMPROVED PROCESS KNOWLEDGE REVIEW AND REVISION OF UCL/LCL REDUCTION IN REJECTION ( ACTUAL Vs ESTIMATED) IMPROVED PRODUCTIVITY LESS INSPECTION AND ADJUSTMENT CUSTOMER SATISFACTION DUE TO LESS VARIATION
  • 33. ATTRIBUTE CHART P-CHART - PROPORTION OF UNIT NONCONFORMING - SAMPLE SIZE NEED NOT BE EQUAL np-CHART - NUMBER OF UNITS NONCONFORMING - SAMPLE SIZE MUST BE EQUAL
  • 34. ATTRIBUTE CHART C – CHART - NUMBER OF NONCONFORMITIES - SAMPLE SIZE MUST BE EQUAL U – CHART - NUMBER OF NONCONFORMITIES PER UNIT - SAMPLE SIZE NEED NOT BE EQUAL
  • 35. OPERATOR’s ROLE FOR ONE SUBGROUP PLOTTING 1. CHECK AS PER CONTROL PLAN 2. CALCULATE AVG/RANGE/INDIVIDUALS 3. PLOT THE SAME IN CONTROL CHART 4. CHECK THE PLOTTED POINT IS IN CONTROL ( REFER 4 CONDITIONS IN CONTROL CHART) 5. IF IT IS IN CONTROL, CONTINUE THE PROCESS 6. ELSE, STOP THE PROCESS, TAKE CORRECTIVE ACTION & DISPOSITION ACTION AS PER REACTION PLAN 7. RECORD THE PROCESS EVENTS INCLUDING OUT OF CONTROL CONDITIONS
  • 36. EFFECT OF OVER ADJUSTMENT IF A STABLE PROCESS IS ADJUSTED ON THE BASIS OF EACH MEASUREMENT MADE, THEN THE ADJUSTMENT BECOMES AN ADDITIONAL SOURCE OF VARIATION  OVER ADJUSTMENT WILL INCREASE THE VARIATION