Quality sampling and reliability: new uses for the poisson distribution

✍ Scribed by Heldt, John J

• Publisher: CRC Press
• Year: 2010
• Tongue: English
• Leaves: 166
• Edition: First edition
• Category: Library

✦ Synopsis

As a mathematical model for determining the probable number of outcomes, the new Poisson Distribution tables have long been an easier tool to use for reliability analyses. Longtime quality professional, inventor, and consultant John J. Heldt now makes the Poisson Table even more useful-creating two new tables (available only in this book) with the Poisson terms rearranged for further ease of estimation.Quality Sampling and Reliability: New Uses for the Poisson Distribution simplifies the steps involved with reliability testing; Mean Time Between Failure (MTBF) assessment; advantages and risks involved in reliability life testing; and an example of methodology for tracking the MTBF for products in the field.In addition to the tried-and-true Standard Poisson table, used to review conventional Poisson uses, Heldt's two variations yield these results: Estimations of product Mean Time Between Failures (MTBFs), based on life tests-including the 90%, 80% or 60% envelop for any MTBFs that have been derivedDevelopment of the Operating Characteristic Curves for Life testing-showing the risks and advantages of any test used to assure the product MTBF is not varying in a detrimental mannerWritten for easy comprehension, with numerous illustrations, Quality Sampling and Reliability: New Uses for the Poisson Distribution will help quality professionals, engineers, instructors and students alike in their reliability testing tasks.

✦ Table of Contents

Cover......Page 1
Half Title......Page 2
Title Page......Page 4
Copyright Page......Page 5
Table of Contents......Page 6
Preface......Page 10
The Author......Page 14
1.1 The Cumulative Poisson Distribution Table......Page 16
1.2 How to Find Individual Poisson Probabilities from the Cumulative Poisson Table......Page 17
1.3 Using the Cumulative Poisson Table to Make Poisson Distribution Histograms......Page 19
1.4.1 Quik-Pik Randomicity......Page 24
1.4.2 Telephone Line Usage......Page 27
1.5.1 Figure 8 Discussion......Page 30
1.5.2 Figure 9 Discussion......Page 33
2.1 The Probability of Acceptance Poisson Table......Page 34
2.2 Operating Characteristic Curves......Page 36
2.3 Average Outgoing Quality......Page 39
2.5 Lot Tolerance Percent Defective......Page 40
2.6 Sample Size Effect on Sampling (Figure 10)......Page 41
2.8 Comparison of AQL = 1% Sample Plans (Figure 12)......Page 42
2.9 Comparison of LTPD = 10% Sample Plans (Figure 13)......Page 44
2.10 Summary......Page 45
3.2 Figure 15: AOQL Generator......Page 48
3.3.1 Illustration One......Page 50
3.3.2 Illustration Two......Page 51
3.4.2 Illustration Two......Page 52
3.5.2 Illustration Two......Page 54
3.5.3 Illustration Three......Page 55
3.6.3 AOQL......Page 56
3.7.2 LTPD and the Beta Risk......Page 59
3.7.3 AOQL......Page 60
3.8 Summary......Page 61
4.2 Figure 23: Cumulative Poisson Distribution......Page 64
4.3 Figure 24: Double-Sample Plan OC and AOQ Curve......Page 65
4.3.1 Double-Sample Plan OC Curve......Page 67
4.3.3 Figure 24 Review......Page 68
4.4.1 Double-Sample Plan OC Curve......Page 69
4.5 Figure 26: Double-Sample Plan OC and AOQ Curve......Page 71
4.5.1 Double-Sample Plan OC Curve......Page 72
4.6 Average Sample Number (ASN)......Page 74
4.6.1 Figure 27: ASN for a Double-Sample Plan......Page 75
4.6.2 Figure 28: ASN for a Double-Sample Plan......Page 77
4.6.3 Figure 29: ASN for a Double-Sample Plan......Page 79
4.7 Summary......Page 81
5.1.1 Estimating MTBF Using PT-3......Page 82
5.2.1 80% Confidence Limit Multipliers for Time Test: 5 Failures......Page 97
5.2.3 60% Confidence Limits for Time Test: 10 Failures......Page 100
5.2.5 40% Confidence Limits for an Hour Test: 15 Failures......Page 101
5.2.6 40% Confidence Limit Multipliers for a Life Test That Ends on a Failure: 15 Failures......Page 102
5.3 Summary......Page 104
6.1 How to Determine Operating Curves for Life Tests......Page 106
6.3 Evaluation of the Probabilities and Risks......Page 107
6.4 Generic Comparison of the Three OC Curves......Page 114
6.5 Steps Needed to Develop a c = 1 OC Curve......Page 115
6.6 OC Curves Designed for a 50% Pa......Page 118
6.7 Steps Needed to Develop a c = 1 OC Curve for Testing Units......Page 124
6.8 Summary......Page 129
7.1 Field Data and MTBF Calculations......Page 130
7.1.2 Figure 59: MTBF Tracking (Based on Field Data)......Page 131
7.1.3 Figure 61: MTBF (CL = 60%) for Hard Disk Assembly......Page 134
7.1.4 Figure 64: 90% Confidence Limits for Multiple Hard Disk Assembly......Page 137
7.2 Summary......Page 138
Appendix 1: Cumulative Poisson Distribution: Poisson PT-1......Page 142
Appendix 2: Probability of Acceptance: Poisson PT-2......Page 148
Appendix 3: Confidence Level: Poisson PT-3......Page 154
Index......Page 160

✦ Subjects

BUSINESS & ECONOMICS / Quality Control;Poisson distribution;Quality control--Statistical methods;Sampling (Statistics);Electronic books;Quality control -- Statistical methods