Chapter 8: Quality Management © Holmes Miller 1999 Importance of Quality Costs & market share Market Gains Reputation Volume Price Improved Quality Increased Profits Lower Costs Productivity Rework/Scrap Warranty What is quality?? The Concept of Consistency: Who is the Better Target Shooter? Not just the mean is important, but also the variance Need to look at the distribution function Two Types of Causes for Variation Common Cause Variation (low level) Common Cause Variation (high level) Assignable Cause Variation • Need to measure and reduce common cause variation • Identify assignable cause variation as soon as possible Funnel Experiment (Deming) Tampering with a stable system only increases the production of faulty items and mistakes. Tampering is taking action based on the belief that a common cause is a special cause. Improvement of a stable system nearly always means reduction of variation. One necessary qualification of anyone in management is -- -- stop asking people to explain ups and downs that come from random variation. Statistical Process Control: Control Charts • Track process parameter over time - mean - percentage defects Process Parameter Upper Control Limit (UCL) Center Line Lower Control Limit (LCL) Time • Distinguish between - common cause variation (within control limits) - assignable cause variation (outside control limits) • Measure process performance: how much common cause variation is in the process while the process is “in control”? Control Charts: The X-bar Chart • Define control limits UCL= X +A2 ×R =3.81+0.58*5.85=7.19 LCL= X -A2 ×R =3.81-0.58*5.85=0.41 12 • Constants are taken from a table 10 • Identify assignable causes: - point over UCL - point below LCL - many (6) points on one side of center 8 6 4 2 0 1 3 5 mean st-dev 7 9 11 13 15 17 19 21 23 25 27 CSR 1 2.95 0.96 CSR 2 3.23 2.36 • In this case: - problems in period 13 - new operator was assigned CSR 3 7.63 7.33 CSR 4 3.08 1.87 CSR 5 4.26 4.41 Attribute Based Control Charts: The p-chart 0.180 0.160 0.140 0.120 0.100 0.080 0.060 0.040 0.020 0.000 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 The Statistical Meaning of Six Sigma Upper Specification Limit (USL) Lower Specification Limit (LSL) Process A (with st. dev sA) X-3sA X-2sA X-1sA X X+1sA X+2s X+3sA 3 Process B (with st. dev sB) X-6sB X Process capability measure Cp USL LSL 6ˆ x Cp P{defect} ppm 1 0.33 0.317 317,000 2 0.67 0.0455 45,500 3 1.00 0.0027 2,700 4 1.33 0.0001 63 5 1.67 0.0000006 0.6 6 2.00 2x10-9 0.00 X+6sB •Don’t confuse control limits with specification limits: a process can be in control, yet be incapable of meeting customer specs Pareto Analysis Absolute Number Cause of Defect Percentage Cumulative Browser error 43 0.39 0.39 Order number out of sequence 29 0.26 0.65 Product shipped, but credit card not billed 16 0.15 0.80 Order entry mistake 11 0.10 0.90 8 0.07 0.97 3 0.03 1.00 Product shipped to billing address Wrong model shipped Total 110 100 Number of defects 100 75 50 50 Wrong model shipped Product shipped to billing address Order entry mistake Product shipped, but credit card not billed Order number out off sequence Browser error 25 Cumulative percents of defects How do you get to a Six Sigma Process? Step 1: Do Things Consistently (ISO 9000) 1. Management Responsibility 2. Quality System 3. Contract review 4. Design control 5. Document control 6. Purchasing / Supplier evaluation 7. Handling of customer supplied material 8. Products must be traceable 9. Process control 10. Inspection and testing 11. Inspection, Measuring, Test Equipment 12. Records of inspections and tests 13. Control of nonconforming products 14. Corrective action 15. Handling, storage, packaging, delivery 16. Quality records 17. Internal quality audits 18. Training 19. Servicing 20. Statistical techniques Examples: “The design process shall be planned”, “production processes shall be defined and planned” Step 2: Reduce Variability in the Process Taguchi: Even Small Deviations are Quality Losses Quality Quality Loss Loss = C(x-T)2 Performance Metric, x Good Performance Metric Bad Minimum acceptable value Target value Maximum acceptable value Target value •It is not enough to look at “Good” vs “Bad” Outcomes •Only looking at good vs bad wastes opportunities for learning; especially as failures become rare (closer to six sigma) you need to learn from the “near misses” •Catapult: Land “in the box” opposed to “perfect on target” Step 3: Accommodate Residual Variability Through Robust Design A product/process that produces consistent, high-level performance "despite being subjected to a wide range of changing client and manufacturing conditions. Cause and Effect Diagram (Ishikawa Diagram) Specifications / information Machines Cutting tool worn Dimensions incorrectly specified in drawing Vise position set incorrectly Clamping force too high or too low Machine tool coordinates set incorrectly Part incorrectly positioned in clamp Dimension incorrectly coded In machine tool program Vice position shifted during production Part clamping surfaces corrupted Steer support height deviates from specification Extrusion temperature too high Error in measuring height Extrusion stock undersized Extrusion die undersized People Extrusion rate too high Materials Material too soft Exercise In your group, select a problem: At Muhlenberg Another organization Develop a cause and effect diagram to address the problem Deliverable: Develop the diagram and share solution with class The System of Lean Production (Toyota, Citroen, …) Principles Zero Inventories Zero Defects Flexibility / Zero set-ups Zero breakdowns Zero handling / non value added Organization Autonomation Competence and Training Continuous Improvement Quality at the source Methods Just-in-time Production • Kanban • Classical Push • “Real” Just-in-time Mixed Production Set-up reduction Principles of Lean Production: Zero Inventory and Zero Defects Inventory in process Buffer argument: “Increase inventory” • Avoid unnecessary inventory • To be seen more as an ideal • Two types of (bad) inventory: a. resulting from defects / rework b. absence of a smooth process flow • Remember the other costs of inventory (capital, flow time) Pictures: Citroen Toyota argument: “Decrease inventory” Principles of Lean Production: Zero Set-ups, Zero NVA and Zero Breakdowns Avoid Non-value-added activities, specifically rework and set-ups • Flexible machines with short set-ups • Allows production in small lots • Real time with demand • Large variety • Maximize uptime • Without inventory, any breakdown will put production to an end • preventive maintenance Methods of Lean Production: Just-in-time Push: make to forecast • • • • Classical MRP way Based on forecasts Push, not pull Still applicable for low cost parts Pull: Synchronized production • Part produced for specific order (at supplier) • shipped right to assembly • real-time synchronization • for large parts (seat) • inspected at source Pull: Kanban • Visual way to implement a pull system • Amount of WIP is determined by number of cards • Kanban = Sign board • Work needs to be authorized by demand Methods of Lean Production: Mixed Production and Set-up reduction Production with large batches Cycle Cycle Inventory Inventory Beginning of Month End of Month Production with small batches Produce Sedan Produce Station wagon Beginning of Month End of Month Organization of Lean Production: Autonomation and Training • Automation with a human touch • Create local decision making rather than pure focus on execution • Use machines / tools, but avoid the lights-off factory • Cross training of workers • Develop problem solving skills Organization of Lean Production: Continuous Improvement and Quality-at-thesource • Solve the problems where they occur - this is where the knowledge is - this is the cheapest place Defect found End User Own Process Next Process End of Line Final Inspection $ $ $ $ $ • very minor • minor delay • Rework • Significant • Reschedule Rework • Delayed Defect fixed delivery • Overhead • Warranty cost • recalls • reputation • overhead • Traditional: inspect and rework at the end of the process • Once problem is detected, send alarm and potentially stop the production Costs of Quality Appraisal Costs External Failure Costs Costs of Quality Internal Failure Costs Prevention Costs