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Managing Quality
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Introduction What: quality in operations management
Where: Quality affects all goods and services Why: Customers demand quality
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What is Quality High quality products Low quality products
What does quality mean to you?
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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”
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User-Based Definition
“Quality lies in the eye of the beholder” Higher quality = better performance Higher quality = nicer features
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Manufacturing-Based Definition
Quality = conforming to standards “Making it right the first time”
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Product-Based Definition
Quality = a measurable variable
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Our Definition Quality: The ability of a product or service to meet customer needs
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Implications of Quality
Company Reputation Product Liability Global Implications
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Global Implications National Quality Awards:
US: Malcolm Baldridge National Quality Award Japan: Deming Prize Canada: National Quality Institute Canada Awards for Excellence
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Canada Award Winners 2000 Aeronautical and Technical Services
British Columbia Transplant Society Delta Hotels Honeywell Water Controls Business Unit
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Quality and Strategy Differentiation Cost Leader Response
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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
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Costs of Quality Prevention Costs Appraisal Costs Internal Failure
External Costs
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International Standards
ISO 9000 Establish quality management procedures Documented processes Work Instructions Record Keeping Does NOT tell you how to make a product!
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Total Quality Management
TQM – Total Quality Management Quality emphasis throughout an organization From suppliers through to customers
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W. Edwards Deming
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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
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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
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TQM Concepts Continuous Improvement Employee Empowerment Benchmarking
Just-In-Time Taguchi Knowledge of Tools
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Continuous Improvement
Act Plan Check Do
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Continuous Improvement
Kaizen Zero Defects Six Sigma
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Employee Empowerment Involve employees in every step of production
High involvement by those who understand the shortcomings of the system Quality circle
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Benchmarking Pick a standard or target to work towards
Compare your performance Best practices in the industry
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Just-In-Time Produce or deliver goods just when they are needed
Low inventory on hand Keeps evidence of errors fresh
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Taguchi Concepts Quality robustness Quality Loss Function
Target-oriented Quality
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TQM Tools Check Sheet Scatter Diagram
Cause and effect diagram (fishbone) Pareto Chart – Rule Flow Charts Histogram Statistical Process Control
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Inspection Attribute Inspection Variable Inspection
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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
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Source Inspection Employees self-check their work Poka-yoke
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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
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Statistics Mean Standard deviation Natural variation
Assignable variation
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Taking Samples
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Central Limit Theorem Central Limit Theorem
As sample size gets large enough, sampling distribution becomes almost normal regardless of population distribution. Central Limit Theorem
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Population and Sampling Distribution
Uniform Normal Beta Distribution of sample means Standard deviation of the sample means (mean) Three population distributions
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Central Limit Theorem Sampling distribution of the means
Process distribution of the sample
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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
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Central Limit Theorem Summary
Properties of normal distribution
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In Control vs Out Of Control
In control and producing within control limits In control, but not producing within control limits Out of control
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In Control vs Out Of Control
Frequency Lower control limit Size Weight, length, speed, etc. 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 (c) Out of control. A process out of control having assignable causes of variation. (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.
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Setting Limits Mean of samples means x bar
Standard Deviation of process σ Standard Deviation of sample means σx = Upper Control Limit (UCL) = Lower Control Limit (LCL) =
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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 = LCL =
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Making R Control Charts
Plot the range on the chart D3 and D4 from chart on page 204 UCL = LCL =
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What X-Bar and R Charts Tell Us
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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
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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 – p-chart We can measure count defective – c-chart
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P-Chart p-bar = mean fraction defective in the sample
z = number of standard deviations (2 or 3) σP = standard deviation of sampling distribution =
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P-Chart Continued UCL = LCL =
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C-Chart Controls number of defects per unit of output
Average count c-bar UCL = LCL =
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Patterns to Look For
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Process Capability We need a summary measure to tell us if the process is capable of producing within the design limts
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What does Cpk Tell Us? Cpk = negative number Cpk = zero
Cpk = between 0 and 1 Cpk = 1 Cpk > 1
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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
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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
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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%)
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Probability of Acceptance
OC Curve = 0.05 producer’s risk for AQL = 0.10 Consumer’s risk for LTPD Probability of Acceptance Percent Defective Bad lots Indifference zone Good lots LTPD AQL 100 95 75 50 25 10
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Average Outgoing Quality (AOQ)
Sampling plan replaces all defective items encountered Determine true percent defective in lot 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
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