The maintenance of systems in engineering is of increasing concern to managers and designers in all branches of engineering, whether they are producing high-quality products or designing highly-reliable systems. In recent decades, reliability theory has produced many innovations in maintenance policy. Maintenance Theory of Reliability is a survey of useful and practical maintenance models covering replacement, preventive maintenance and inspection. The book provides a detailed introduction to maintenance policies, updates the reader on the current status of the field and indicates future directions. The reader will learn the theory of maintenance and how to apply models in practice. The book will serve as an essential reference for graduate students and researchers in reliability theory and a useful guide for reliability engineers engaged in maintenance work.
Author(s): by Toshio Nakagawa
Edition: 1
Year: 2005
Language: English
Pages: 269
Contents......Page 8
1 Introduction......Page 11
1.1 Reliability Measures......Page 14
1.2 Typical Failure Distributions......Page 23
1.3 Stochastic Processes......Page 29
1.3.1 Renewal Process......Page 30
1.3.2 Alternating Renewal Process......Page 34
1.3.3 Markov Processes......Page 36
1.3.4 Markov Renewal Process with Nonregeneration Points......Page 40
References......Page 45
2 Repair Maintenance......Page 49
2.1.1 Reliability Quantities......Page 50
2.1.2 Repair Limit Policy......Page 61
2.2 Standby System with Spare Units......Page 65
2.2.1 Reliability Quantities......Page 66
2.2.2 Optimization Problems......Page 69
2.3 Other Redundant Systems......Page 72
2.3.1 Standby Redundant System......Page 73
2.3.2 Parallel Redundant System......Page 75
References......Page 76
3 Age Replacement......Page 79
3.1 Replacement Policy......Page 80
3.2 Other Age Replacement Models......Page 86
3.3 Continuous and Discrete Replacement......Page 93
References......Page 102
4 Periodic Replacement......Page 105
4.1 Definition of Minimal Repair......Page 106
4.2 Periodic Replacement with Minimal Repair......Page 111
4.3 Periodic Replacement with Nth Failure......Page 114
4.4 Modified Replacement Models......Page 117
4.5 Replacements with Two Different Types......Page 120
References......Page 124
5.1 Replacement Policy......Page 127
5.2 No Replacement at Failure......Page 130
5.3 Replacement with Two Variables......Page 131
5.4.1 Summary of Periodic Replacement......Page 135
5.4.2 Combined Replacement......Page 136
References......Page 142
6 Preventive Maintenance......Page 145
6.1.1 Reliability Quantities......Page 146
6.1.2 Optimum Policies......Page 149
6.1.3 Interval Reliability......Page 150
6.2 Two-Unit System with Repair......Page 154
6.2.1 Reliability Quantities......Page 155
6.2.2 Optimum Policies......Page 160
6.3 Modified Discrete Preventive Maintenance Policies......Page 164
6.3.1 Number of Failures......Page 165
6.3.2 Number of Faults......Page 170
6.3.3 Other PM Models......Page 175
References......Page 177
7 Imperfect Preventive Maintenance......Page 180
7.1 Imperfect Maintenance Policy......Page 182
7.2 Preventive Maintenance with Minimal Repair......Page 184
7.3 Inspection with Preventive Maintenance......Page 191
7.3.1 Imperfect Inspection......Page 192
7.3.2 Other Inspection Models......Page 194
7.3.3 Imperfect Inspection with Human Error......Page 196
7.4 Computer System with Imperfect Maintenance......Page 197
7.5 Sequential Imperfect Preventive Maintenance......Page 200
References......Page 206
8 Inspection Policies......Page 209
8.1 Standard Inspection Policy......Page 210
8.2 Asymptotic Inspection Schedules......Page 215
8.3 Inspection for a Standby Unit......Page 220
8.4 Inspection for a Storage System......Page 224
8.5 Intermittent Faults......Page 228
8.6 Inspection for a Finite Interval......Page 232
References......Page 237
9 Modified Maintenance Models......Page 242
9.1 Modified Discrete Models......Page 243
9.2 Maintenance Policies for a Finite Interval......Page 248
9.3 Random Maintenance Policies......Page 252
9.3.1 Random Replacement......Page 253
9.3.2 Random Inspection......Page 260
9.4 Replacement Maximizing MTTF......Page 265
9.5 Discrete Replacement Maximizing MTTF......Page 268
9.6 Other Maintenance Policies......Page 270
References......Page 271
F......Page 273
S......Page 274
W......Page 275
