Advanced Reliability Models and Maintenance Policies

by Nakagawa, Toshio

• ISBN13: 9781848002937
• ISBN10: 1848002939
• Format: Hardcover
• Copyright: 2009-02-28
• Publisher: Springer Verlag

Summary

"Reliability theory is a major concern for engineers and managers engaged in making high quality products and designing highly reliable systems. Advanced Reliability Models and Maintenance Policies is a survey of new research topics in reliability theory and optimization techniques in reliability engineering." "Advanced Reliability Models and Maintenance Policies introduces partition and redundant problems within reliability models, and provides optimization techniques. The book also indicates how to perform maintenance in a finite time span and at failure detection, and to apply recovery techniques for computer systems. New themes such as reliability complexity and service reliability in reliability theory are theoretically proposed, and optimization problems in management science using reliability techniques are presented." "Advanced Reliability Models and Maintenance Policies is an essential guide for graduate students and researchers in reliability theory, and a valuable reference for reliability engineers engaged both in maintenance work and in management and computer systems."--BOOK JACKET.

Author Biography

Toshio Nakagawa is a Professor of Engineering at Aichi Institute of Technology, Japan. He is considered the world leader in maintenance reliability engineering and has worked in this area for thirty years. He has published more than a hundred research papers mainly on the subject of maintenance and reliability theory.

Table of Contents

Introduction	p. 1
Maintenance	p. 2
Redundancy	p. 3
Applications	p. 4
Further Studies	p. 5
Redundant Models	p. 7
Parallel Systems	p. 8
Number of Units and Replacement Time	p. 8
Replacement Number of Failed Units	p. 13
Series and Parallel Systems	p. 17
Series-parallel System	p. 17
Parallel-series System	p. 20
Complexity of Series-parallel System	p. 23
Three Redundant Systems	p. 23
Reliability Quantities	p. 24
Expected Costs	p. 27
Reliabilities with Working Time	p. 28
Redundant Data Transmissions	p. 30
Three Models	p. 30
Optimum Policies	p. 32
Other Redundant Models	p. 34
Partition Policies	p. 39
Maintenance Models	p. 40
Inspection Polices	p. 40
Replacement Policies	p. 42
Partition Models	p. 47
Job Execution with Signature	p. 52
Maintenance Policies for a Finite Interval	p. 59
Imperfect PM Policies	p. 60
Periodic PM	p. 61
Sequential PM	p. 62
Inspection Policies	p. 64
Periodic Inspection	p. 65
Sequential Inspection	p. 66
Asymptotic Inspection	p. 66
Cumulative Damage Models	p. 69
Periodic PM	p. 73
Sequential PM	p. 74
Forward and Backward Times in Reliability Models	p. 77
Forward Time	p. 78
Age Replacement	p. 79
Reliability with Scheduling	p. 82
Backward Time	p. 86
Optimum Backward Times	p. 88
Traceability	p. 92
Checking Interval	p. 94
Inspection for a Scale	p. 97
Optimum Retrial Number of Reliability Models	p. 101
Retrial Models	p. 102
Bayesian Estimation of Failure Probability	p. 107
ARQ Models with Intermittent Faults	p. 110
Model 1	p. 110
Model 2	p. 113
Model 3	p. 116
Optimum Checkpoint Intervals for Fault Detection	p. 123
Checkpoint Intervals of Redundant Systems	p. 125
Sequential Checkpoint Intervals	p. 131
Modified Checkpoint Models	p. 138
Double Modular System with Spare Process	p. 138
Three Detection Schemes	p. 141
Maintenance Models with Two Variables	p. 149
Three Replacement Models	p. 150
Age Replacement	p. 150
Periodic Replacement	p. 157
Block Replacement	p. 173
Modified Replacement Policies	p. 174
Other Maintenance Models	p. 178
Parallel System	p. 178
Inspection Policies	p. 181
System Complexity and Entropy Models	p. 187
System Complexity	p. 188
Definition of Complexity	p. 188
Reliability of Complexity	p. 190
System Complexity Considering Entropy	p. 195
Definition of Complexity	p. 195
Reliability of Complexity	p. 196
Entropy Models	p. 199
Management Models with Reliability Applications	p. 205
Service Reliability	p. 206
Optimization Problems in ATMs	p. 209
Maintenance of ATMs	p. 209
Number of Spare Cash-boxes	p. 215
Loan Interest Rate	p. 221
Loan Model	p. 222
CRL Issue in PKI Architecture	p. 226
CRL Models	p. 228
References	p. 235
Index	p. 245
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