10-1 mcgraw-hill/irwin operations management, seventh edition, by william j. stevenson copyright ©...

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10-1 McGraw-Hill/Irwin Operations Management, Seventh Edition, by William J. Stevenson Copyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved. Quality Control Chapter 10 Quality Control

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10-1

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Chapter 10

Quality Control

10-2

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Quality Control

• The process that evaluates output relative to a standard and takes corrective action when output fails to meet the standard

10-3

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Phases of Quality Assurance

Acceptancesampling

Processcontrol

Continuousimprovement

Inspectionbefore/afterproduction

Correctiveaction duringproduction

Quality builtinto theprocess

The leastprogressive

The mostprogressive

Figure 10-1

10-4

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Inspection

• How Much/How Often

• Where/When

• Centralized vs. On-site

Inputs Transformation Outputs

Acceptancesampling

Processcontrol

Acceptancesampling

Figure 10-2

10-5

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

How Much/How Often

• Value of the item

• Cost of passing defects

• Cost of inspection

• Line disruptions due to inspections

• Variability of the process

10-6

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Inspection CostsC

ost

OptimalAmount of Inspection

Cost of inspection

Cost of passingdefectives

Total Cost

Figure 10-3

10-7

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Where to Inspect in the Process

• Raw materials and purchased parts

• Finished products

• Before a costly operation

• Before an irreversible process

• Before a covering process

10-8

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Examples of Inspection Points

Type ofbusiness

Inspectionpoints

Characteristics

Fast Food CashierCounter areaEating areaBuildingKitchen

AccuracyAppearance, productivityCleanlinessAppearanceHealth regulations

Hotel/motel Parking lotAccountingBuildingMain desk

Safe, well lightedAccuracy, timelinessAppearance, safetyWaiting times

Supermarket CashiersDeliveries

Accuracy, courtesyQuality, quantity

Table 10-1

10-9

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Centralized vs. On-site

• Environmental requirements of the inspection equipment

• Are the advantages of centralized inspection enough to offset the disruption caused by moving products to the inspection point

10-10

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

• Statistical Process Control: Statistical evaluation of the output of a process during production

10-11

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Statistical Process Control

• The Control Process– Define the characteristic to be controlled– Measure– Compare to a standard– Evaluate– Take corrective action– Evaluate corrective action

10-12

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Statistical Process Control

• Variations and Control– Random variation: Natural variations in the

output of process, created by countless minor factors

– Assignable variation: A variation whose source can be identified

• A process is in control when there are no assignable variations, all variations are random

10-13

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Normal Distribution

Mean

95.44%

99.74%

Standard deviation

Figure 10-5

10-14

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Control Chart

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

UCL

LCL

Sample number

Mean

Out ofcontrol

Normal variationdue to chance

Abnormal variationdue to assignable sources

Abnormal variationdue to assignable sources

Figure 10-8

10-15

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Observations from Sample Distribution

Sample number

UCL

LCL

1 2 3 4

Figure 10-9

10-16

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Mean and Range Charts

UCL

LCL

UCL

LCL

R-chart

x-Chart Detects shift

Does notdetect shift

Figure 10-10A(process mean is shifting upward)

SamplingDistribution

10-17

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Mean and Range Charts

UCL

LCL

LCL

R-chart Reveals increase

x-Chart

UCL

Does notreveal increase

Figure 10-10B

(process variability is increasing)SamplingDistribution

10-18

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Control Chart for Attributes

• p-Chart - Control chart used to monitor the proportion of defectives in a process

• c-Chart - Control chart used to monitor the number of defects per unit

10-19

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Use of p-Charts

• When observations can be placed into two categories.– Good or bad

– Pass or fail

– Operate or don’t operate

• When the data consists of multiple samples of several observations each

Table 10-3

10-20

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Use of c-Charts

• Use only when the number of occurrences per unit of measure can be counted; non-occurrences cannot be counted.– Scratches, chips, dents, or errors per item– Cracks or faults per unit of distance– Breaks or Tears per unit of area– Bacteria or pollutants per unit of volume– Calls, complaints, failures per unit of time

Table 10-3

10-21

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Counting Above/Below Median Runs (7 runs)

Counting Up/Down Runs (8 runs)

U U D U D U D U U D

B A A B A B B B A A B

Figure 10-11

Figure 10-12

Counting Runs

10-22

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

• Tolerances– specifications

• Process variability– Natural variability in a process

• Process capability– Process variability relative to specification

Process Capability

10-23

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Process Capability

LowerSpecification

UpperSpecification

Process variability matches specifications

LowerSpecification

UpperSpecification

Process variability well within specifications

LowerSpecification

UpperSpecification

Process variability exceeds specifications

Figure 10-14

10-24

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Process Capability Ratio

Process capability ratio, Cp =specification width

process width

Upper specification – lower specification6

Cp =

10-25

McGraw-Hill/IrwinOperations Management, Seventh Edition, by William J. StevensonCopyright © 2002 by The McGraw-Hill Companies, Inc. All rights reserved.

Quality Control

Processmean

Lowerspecification

Upperspecification

1350 ppm 1350 ppm

1.7 ppm 1.7 ppm

+/- 3 Sigma

+/- 6 Sigma

3 Sigma and 6 Sigma QualityFigure 10-15