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Statistical Process Control Module 2
Dr. Salih Duffuaa & Dr. Mohamed Ben Daya Systems Engineering Department King Fahd University of Petroleum & Minerals
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Training Objectives The overall objective of this program is to build a strong learning base in the area of Statistical Process Control (SPC) in order to sustain the implementation of SPC and contribute to the growth of the man-power in Quality Assurance Laboratories and production. This require knowledge in basic statistics and SPC tools and their interpretation.
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Objectives (cont’d) Create a culture of continuous improvement.
Improve the skills of the man-power in data analysis and the interpretation of SPC results.
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Training Program Outcomes of Module 1
Summarize and present data in meaningful format. Analyze data. Assess variability in data. Construct confidence interval using excel. Develop regression models and understand their use in calibration of instruments.
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Training Program Outcomes of Module 2
Understand the relation between variability and quality. Construct control charts for plant key processes. Assess whether a process is in control or out of control. Utilize SPC tools to identify major causes of poor quality. Initiate process improvement based on information from SPC analysis Assess process capability. Suggest action plans to improve plant's process capability
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Training Modules Module 1 Data collection and presentation
Descriptive statistics. Probability Probability distribution. Regression Estimation Concept of variation SPC tools All with real data and realistic examples. Duration: 4 months: March – June, 2005 Module 2 Improvement using SPC tools Fundamentals of control charts Control charts for variables Control charts for attributes Process capability Process improvements. SPC implementation and case studies Duration: 1 months: November, 2005
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Typical Schedule 8:30– 9:30 : First Presentation 9:30 – 9:45 : Break
9:45– 10:30 : Exercises 10:30 – 10:45 : Break 10:45 – 11:45 : Second Presentation 11:45 – 1:00 : Lunch Break 1:00 – 3:00 : Exercises and cases
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Assessment Final Exam Small project Two homeworks.
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Team Formation and Project
Teams of 2 to apply SPC on a process Identify a process (latter) Project requirements Define process Choose appropriate measures Develop control charts Assess process capability Suggest action plan to improve capability.
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Week 1 Schedule 8:30 – 9:30 : Module 2 Introduction
Process improvement using SPC tools 9:15 – 9:30 : Break 9:30 – 10:30 : Basics of Control charts 10:30 – 10:45 : Break 10:45 – 11:45 : Basics of Control charts 11:45 – 1:00 : Lunch Break 1:00 – 3:00 : Cases and Examples Next week’s assignment
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Learning Outcomes Define quality and quality improvement.
Define Statistical Process Control. Define quality and quality improvement. Describe the role of variability and statistical methods in controlling and improving quality. Explain the link between quality and productivity and Define quality costs.
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Learning Outcomes Distinguish between random and assignable causes
Use SPC tools other than control charts. Define a control chart. Explain the statistical basis for control charts. Explain essential factors in control chart design State the steps to implement SPC
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Definition of SPC S: for statistical: means based on the science of data collection and analysis. P: for process: A process is A process is no more than the steps and decisions involved in the way work is accomplished. Everything we do in our lives involves processes and lots of them. Here are some examples: writing a work order, shooting a weapon, getting out of bed repairing a valve , ordering a part, performing a test, conducting an UNREP, preparing a message, loading a missile allocating a budget , mooring a ship , conducting a drill. A sequence of activities (steps) that takes an input and produces an output. C: for control : stability and predictability.
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Definitions and Meaning of Quality
The Eight Dimensions of Quality Performance Reliability Durability Serviceability Aesthetics Features Perceived Quality Conformance to Standards
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This is a traditional definition
Quality of design Quality of conformance
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This is a modern definition of quality
How do we measure variability ?
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The Transmission Example
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The transmission example illustrates the utility of this definition
An equivalent definition is that quality improvement is the elimination of waste. This is useful in service or transactional businesses.
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Terminology
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Terminology cont’d Specifications Defective or nonconforming product
Lower specification limit Upper specification limit Target or nominal values Defective or nonconforming product Defect or nonconformity Not all products containing a defect are necessarily defective
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1-2. History of Quality Improvement
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Statistical Methods for Quality Improvement
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Statistical Methods Statistical process control (SPC)
Control charts, plus other problem-solving tools Useful in monitoring processes, reducing variability through elimination of assignable causes On-line technique Designed experiments (DOX) Discovering the key factors that influence process performance Process optimization Off-line technique Acceptance Sampling
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Walter A. Shewart (1891-1967) Trained in engineering and physics
Long career at Bell Labs Developed the first control chart about 1924
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A factorial experiment with three factors
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Quality Philosophies and Management Strategies
W. Edwards Deming Taught engineering, physics in the 1920s, finished PhD in 1928 Met Walter Shewhart at Western Electric Long career in government statistics, USDA, Bureau of the Census During WWII, he worked with US defense contractors, deploying statistical methods Sent to Japan after WWII to work on the census
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Deming Deming was asked by JUSE to lecture on statistical quality control to management Japanese adopted many aspects of Deming’s management philosophy Deming stressed “continual never-ending improvement” Deming lectured widely in North America during the 1980s; he died 24 December 1993
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Deming’s 14 Points 1. Create constancy of purpose toward improvement
2. Adopt a new philosophy, recognize that we are in a time of change, a new economic age 3. Cease reliance on mass inspection to improve quality 4. End the practice of awarding business on the basis of price alone 5. Improve constantly and forever the system of production and service 6. Institute training 7. Improve leadership, recognize that the aim of supervision is help people and equipment to do a better job 8. Drive out fear 9. Break down barriers between departments
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Note that the 14 points are about change
14 Points cont’d 10. Eliminate slogans and targets for the workforce such as zero defects 11. Eliminate work standards 12. Remove barriers that rob workers of the right to pride in the quality of their work 13. Institute a vigorous program of education and self-improvement 14. Put everyone to work to accomplish the transformation Note that the 14 points are about change
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Deming’s Deadly Diseases
Lack of constancy of purpose Emphasis on short-term profits Performance evaluation, merit rating, annual reviews Mobility of management Running a company on visible figures alone Excessive medical costs for employee health care Excessive costs of warrantees
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Joseph M. Juran Born in Romania (1904), immigrated to the US
Worked at Western Electric, influenced by Walter Shewhart Emphasizes a more strategic and planning oriented approach to quality than does Deming Juran Institute is still an active organization promoting the Juran philosophy and quality improvement practices
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The Juran Trilogy Planning Control Improvement
These three processes are interrelated Control versus breakthrough Project-by-project improvement
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Some of the Other “Gurus”
Kaoru Ishikawa Son of the founder of JUSE, promoted widespread use of basic tools Armand Feigenbaum Author of Total Quality Control, promoted overall organizational involvement in quality, Three-step approach emphasized quality leadership, quality technology, and organizational commitment Lesser gods, false prophets
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Quality Systems and Standards
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The ISO certification process focuses heavily on quality assurance, without sufficient weight given to quality planning and quality control and improvement
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Quality Costs
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Legal Aspects of Quality
Product liability exposure Concept of strict liability Responsibility of both manufacturer and seller/distributor Advertising must be supported by valid data
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Quality and Productivity
Example: Suppose a worker produces 100 units and 20% are defective. Which is better option to improve quality by 20% or productivity by 20%. Does improving quality improves productivity?
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Seven Quality Tools
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Seven Quality Control Tools
Pareto Chart Histogram Process flow diagram Check sheet Scatter diagram Control chart Run Chart Cause and Effect Diagram
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Pareto Principle Vilfredo Pareto (1848-1923) Italian economist
20% of the population has 80% of the wealth Juran used the term “vital few, trivial many”. He noted that 20% of the quality problems caused 80% of the dollar loss. 7 Quality Tools
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Pareto chart % Complaints 7 Quality Tools
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Percent from each cause
Pareto Chart 10 20 30 40 50 60 70 (64) Percent from each cause (13) (10) (6) (3) Pareto analysis uses an ordered histogram to highlight the major causes of quality problems. (2) (2) Poor Design Defective parts Machine calibrations Operator errors Wrong dimensions Defective materials Surface abrasions Causes of poor quality
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Histogram 7 Quality Tools
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Histogram 5 10 15 20 25 30 35 40 Histograms are graphical frequency tables that visually capture and display the variation in a set of data.
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Flowcharts Flowcharts Graphical description of how work is done.
Used to describe processes that are to be improved. 7 Quality Tools
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Flow Diagrams " Draw a flowchart for whatever you do. Until you do, you do not know what you are doing, you just have a job.” -- Dr. W. Edwards Deming.
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Flowchart Activity Decision Yes No 7 Quality Tools
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Flowchart A flowchart diagrams the steps in a process. Flowcharts help problem solvers better understand the process so they can highlight quality problems.
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Flow Diagrams
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Process Chart Symbols Operations Inspection Transportation Delay
Storage
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Check Sheet 7 Quality Tools
Shifts Defect Type 7 Quality Tools
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Cause-and-Effect Diagrams
Show the relationships between a problem and its possible causes. Developed by Kaoru Ishikawa (1953) Also known as … Fishbone diagrams Ishikawa diagrams 7 Quality Tools
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Cause and Effect “Skeleton”
Materials Procedures Quality Problem People Equipment 7 Quality Tools
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Fishbone Diagram Quality Problem Machines Measurement Human Process
Environment Materials Faulty testing equipment Incorrect specifications Improper methods Poor supervision Lack of concentration Inadequate training Out of adjustment Tooling problems Old / worn Defective from vendor Not to specifications Material- handling problems Deficiencies in product design Ineffective quality management Poor process design Inaccurate temperature control Dust and Dirt A cause-and-effect diagram, or fishbone diagram, is a chart showing the different categories of problem causes.
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Cause and effect diagrams
Advantages making the diagram is educational in itself diagram demonstrates knowledge of problem solving team diagram results in active searches for causes diagram is a guide for data collection
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Cause and effect diagrams
To construct the skeleton, remember: For manufacturing - the 4 M’s man, method, machine, material For service applications equipment, policies, procedures, people
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Scatter Diagram . Scatter diagrams and tightness of points plotted on the graph gives an indication of the strength of the relationship. A cluster of points resembling a straight line indicates the strongest correlation between the variables. In this graph, there is a strong positive correlation between x and y.
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Run Charts Run Charts (time series plot)
Examine the behavior of a variable over time. Basis for Control Charts
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Control Chart Number of defects Sample number 27 24 UCL = 23.35 21
18 15 Number of defects 12 9 Process control involves monitoring a production process and charting the results on a control chart. If any of the points plotted falls outside the control limits, the process is out-of-control. 6 LCL = 1.99 3 2 4 6 8 10 12 14 16 Sample number
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Control Charts 7 Quality Tools
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A process is operating with only chance causes of variation present is said to be in statistical control. A process that is operating in the presence of assignable causes is said to be out of control.
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A control chart contains
A center line An upper control limit A lower control limit A point that plots within the control limits indicates the process is in control No action is necessary A point that plots outside the control limits is evidence that the process is out of control Investigation and corrective action are required to find and eliminate assignable cause(s) There is a close connection between control charts and hypothesis testing
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Photolithography Example
Important quality characteristic in hard bake is resist flow width Process is monitored by average flow width Sample of 5 wafers Process mean is 1.5 microns Process standard deviation is 0.15 microns Note that all plotted points fall inside the control limits Process is considered to be in statistical control
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Shewhart Control Chart Model
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More Basic Principles Charts may be used to estimate process parameters, which are used to determine capability Two general types of control charts Variables Continuous scale of measurement Quality characteristic described by central tendency and a measure of variability Attributes Conforming/nonconforming Counts Control chart design encompasses selection of sample size, control limits, and sampling frequency
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Types of Process Variability
Stationary and uncorrelated data vary around a fixed mean in a stable or predictable manner Stationary and autocorrelated successive observations are dependent with tendency to move in long runs on either side of mean Nonstationary process drifts without any sense of a stable or fixed mean
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Reasons for Popularity of Control Charts
Control charts are a proven technique for improving productivity. Control charts are effective in defect prevention. Control charts prevent unnecessary process adjustment. Control charts provide diagnostic information. Control charts provide information about process capability.
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3-Sigma Control Limits Probability Limits Warning Limits
Probability of type I error is Probability Limits Type I error probability is chosen directly For example, gives 3.09-sigma control limits Warning Limits Typically selected as 2-sigma limits
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Pattern is very nonrandom in appearance
19 of 25 points plot below the center line, while only 6 plot above Following 4th point, 5 points in a row increase in magnitude, a run up There is also an unusually long run down beginning with 18th point
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In phase II, the control chart is used to monitor the process
Phase I is a retrospective analysis of process data to construct trial control limits Charts are effective at detecting large, sustained shifts in process parameters, outliers, measurement errors, data entry errors, etc. Facilitates identification and removal of assignable causes In phase II, the control chart is used to monitor the process Process is assumed to be reasonably stable Emphasis is on process monitoring, not on bringing an unruly process into control
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SPC Implementation Issues
Define process Chose Quality characteristic and measurement system Focus on trends and shifts Calculate control charts limits. Investigate and act SPC training
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Nonmanufacturing applications do not differ substantially from industrial applications, but sometimes require ingenuity Most nonmanufacturing operations do not have a natural measurement system The observability of the process may be fairly low Flow charts and operation process charts are particularly useful in developing process definition and process understanding. This is sometimes called process mapping. Used to identify value-added versus nonvalue-added activity
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