Managing Quality Introduction What: quality in operations management Where: Quality affects all goods and services Why: Customers demand quality What is Quality High quality products Low quality products What does quality mean to you? American Society for Quality “The totality of features and characteristics of a product or service that bears on its ability to satisfy stated or implied needs” User-Based Definition “Quality lies in the eye of the beholder” Higher quality = better performance Higher quality = nicer features Manufacturing-Based Definition Quality = conforming to standards “Making it right the first time” Product-Based Definition Quality = a measurable variable Our Definition Quality: The ability of a product or service to meet customer needs Implications of Quality Company Reputation Product Liability Global Implications Global Implications National Quality Awards: US: Malcolm Baldridge National Quality Award Japan: Deming Prize Canada: National Quality Institute Canada Awards for Excellence Canada Award Winners 2000 Aeronautical and Technical Services British Columbia Transplant Society Delta Hotels Honeywell Water Controls Business Unit Quality and Strategy Differentiation Cost Leader Response Quality and Profitability Sales Gains •Improved Response •Higher Prices •Improved Reputation Improved Quality Increased Profits Reduced Costs •Increased Productivity •Lower Rework, Scrap •Lower Warranty Costs Costs of Quality Prevention Costs Appraisal Costs Internal Failure External Costs International Standards ISO 9000 Establish quality management procedures Documented processes Work Instructions Record Keeping Does NOT tell you how to make a product! Total Quality Management TQM – Total Quality Management Quality emphasis throughout an organization From suppliers through to customers W. Edwards Deming Deming’s 14 Points Create consistency of purpose Lead to promote change Build quality into the product, stop depending on inspections to catch problems Build long-term relationships based on performance instead of awarding business on the basis of price Continuously improve product, quality and service Start training Deming’s 14 Points Emphasize leadership Drive out fear Break down barriers between departments Stop haranguing workers Support, help and improve Remove barriers to pride in work Institute a vigorous program of education and self-improvement Put everybody in the company to work on transformation TQM Concepts Continuous Improvement Employee Empowerment Benchmarking Just-In-Time Taguchi Knowledge of Tools Continuous Improvement Act Plan Check Do Continuous Improvement Kaizen Zero Defects Six Sigma Employee Empowerment Involve employees in every step of production High involvement by those who understand the shortcomings of the system Quality circle Benchmarking Pick a standard or target to work towards Compare your performance Best practices in the industry Just-In-Time Produce or deliver goods just when they are needed Low inventory on hand Keeps evidence of errors fresh Taguchi Concepts Quality robustness Quality Loss Function Target-oriented Quality TQM Tools Check Sheet Scatter Diagram Cause and effect diagram (fishbone) Pareto Chart – 80-20 Rule Flow Charts Histogram Statistical Process Control Inspection Attribute Inspection Variable Inspection Inspection At supplier’s plant Upon receipt of goods from supplier Before costly processes During production When production complete Before delivery At point of customer contact Source Inspection Employees self-check their work Poka-yoke Statistical Process Control Apply statistical techniques to ensure processes meet standards Natural variations Assignable variations Goal: signal when assignable causes of a variation are present Statistics Mean Standard deviation Natural variation Assignable variation Taking Samples Central Limit Theorem Central Limit Theorem As sample size gets large enough, sampling distribution becomes almost normal regardless of population distribution. X X Population and Sampling Distribution Three population distributions Distribution of sample means Beta Mean of sample means x x Standard deviation of x the sample means n Normal Uniform 3 x 2 x 1 x x x 2 x 3 x (mean) 95.5% of all x fall within 2 x 99.7% of all x fall within 3 x Central Limit Theorem Sampling distribution of the means Process distribution of the sample xm ( mean ) Central Limit Theorem Summary Mean Standard Deviation 95.5% within +/- 2σ 99.73% within +/- 3σ This means that, if a point on the chart falls outside the limits, we are 99.73% sure that the process has changed Central Limit Theorem Summary Properties of normal distribution 99.7% of al l x fall within 3 x 95.5% of al l x fall within 2 x x x In Control vs Out Of Control In control and producing within control limits In control, but not producing within control limits Out of control In Control vs Out Of Control Frequency Lower control limit (a) In statistical control and capable of producing within control limits. A process with only natural causes of variation and capable of producing within the specified control limits. Upper control limit (b) In statistical control, but not capable of producing within control limits. A process in control (only natural causes of variation are present) but not capable of producing within the specified control limits; and Size Weight, length, speed, etc. (c) Out of control. A process out of control having assignable causes of variation. Setting Limits Mean of samples means x bar Standard Deviation of process σ Standard Deviation of sample means σx = n Upper Control Limit (UCL) = x z x Lower Control Limit (LCL) = x z x Making X-Bar Control Charts Mean (x-bar) chart Standard Deviation is difficult to calculate, so we calculate a Range R – the difference between the biggest and smallest values in the sample Value of A2 from chart on page 204 UCL = x A2R LCL = x A2R Making R Control Charts Plot the range on the chart D3 and D4 from chart on page 204 UCL = D4R LCL = D3 R What X-Bar and R Charts Tell Us Summary: Steps to Create Control Charts Collect 20 to 25 samples of n=4 or n=5 from a stable process and compute the mean and range for each sample Compute overall means (X-bar and R-bar), UCL and LCL Graph sample means and ranges on control charts Investigate points that indicate process is out of control Control Charts for Attributes So far we have been using control charts for variables: size, length, weight What about attributes: defective or not defective We can measure percent defective – pchart We can measure count defective – cchart P-Chart p-bar = mean fraction defective in the sample z = number of standard deviations (2 or 3) σP = standard deviation of sampling distribution = p 1 p n P-Chart Continued UCL = p z p LCL = p z p C-Chart Controls number of defects per unit of output Average count c-bar UCL = c z c LCL = c z c Patterns to Look For Process Capability We need a summary measure to tell us if the process is capable of producing within the design limts Upper Specification Limit x C pk minimum of , or 3 x Lower Specification Limit 3 where x process mean standard deviation of the process population What does Cpk Tell Us? Cpk = negative number Cpk = zero Cpk = between 0 and 1 Cpk = 1 Cpk > 1 Acceptance Sampling Used to control incoming lots of purchased products Take random samples of batches (“lots” of finished product More economical than 100% inspection Quality of sample used to judge quality of all items in lot Rejected lots returned to supplier or 100% inspected Operating Characteristic Curve Each party wants to avoid costly mistake of rejecting a good lot Operating Characteristic (OC) curve describes how well an acceptance plan discriminates between good and bad lots Producer’s Risk α – Probability good lot rejected Consumer’s Risk β – Probability bad lot accepted Quality Levels Acceptable Quality Level (AQL) – Poorest level of quality we are willing to accept (ie 20 defects per 1000 = 2%) Lot Tolerance Percent Defective – Quality level of a lot that we consider bad – we reject lots of this or poorer quality (ie 70 defects per 1000 = 7%) OC Curve 100 95 = 0.05 producer’s risk for AQL 75 Probability of Acceptance 50 25 = 0.10 10 Consumer’s risk for LTPD 0 0 1 Good lots 2 AQL 3 4 5 6 Indifference zone 7 Percent Defective 8 LTPD Bad lots Average Outgoing Quality (AOQ) Sampling plan replaces all defective items encountered Determine true percent defective in lot AOQ (Pd )(Pa )(N n ) N Pd = true percent defective of the lot Pa = probability of accepting the lot N = number of items in the lot n = number of items in the sample