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| Авторизация |
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| Kuo W., Zuo M.J. — Optimal Reliability Modeling: Principles and Applications |
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| Предметный указатель |
(r, s)/(m, n) system, (r, s)/(m, n) system 384
(r, s)/(m, n) system, 2-d linear 435
(r, s)/(m, n) system, k-within- 416
(r, s)/(m, n) system, linear 432
Active redundancy 266 295
Addition law 157
Admissibility condition 215
Algorithm efficiency 64
Alternating renewal process 45 105 106
Arithmetic operations 63 69 238 413
As bad as old 44 106
As good as new 33 44 105
Asymptotic complexity 63
Asymptotic, lower bounds 66
Asymptotic, tight bounds 65
Asymptotic, upper bounds 64
Availability 33 104 110 114
Availability function 104 106 111 382
Average value 15
Axioms of probability 9
Balanced algorithm 230
Basic reordering operation 213
Bathtub curve 34 38
Bernoulli trial 21
Binary image 498
Binary system 452
Binary-imaged system 498
Birth and death process 53 106
Birth rate 52 54
Bivariate distribution 16
Bonferroni inequalities 153
Boolean algebra 7 96 151
Bottom up approach 224
Bounding summations 73
Bounds, asymptotic lower 66
Bounds, asymptotic tight 65
Bounds, asymptotic upper 64
bounds, lower 16 153 250 345 391
Bounds, min-max 185
Bounds, upper 63 153 250 334 391 411
Bridge structure 94 96 99 145
BRO 213
Burn-in failures 35
CDF 11 13 480
Central moment 15
Chance failures 35
Chapman — Kolmogorov equation 48
Chebyshev theorem 16 23
Circular consecutively connected systems 458
Class P problems 67
Coherent 478
Coherent system 90 91 97 350 374 478 496
Combined k-out-of-mn:F system 432 435
Common-cause failures 58 86 124 302 310
Complement 7
Complete failure state 474
Complexity analysis 62
Component reliability vector 101
Component state 87
Component state vector 87
components 32 85
Conditional distribution 18 31 49
Conditional probability 9 10 145 413 418
Conditional reliability 33 36 295
Connection matrix 148
Connection vector 479
Consecutive partition 402
Consecutive-k-out-of-n system 325
Consecutive-k-out-of-n system, - -out-of-w 429
Consecutive-k-out-of-n system, 1-d Con//n:F 435
Consecutive-k-out-of-n system, circular 325
Consecutive-k-out-of-n system, circular m- 407
Consecutive-k-out-of-n system, constant multistate 491
Consecutive-k-out-of-n system, decreasing multistate 491
Consecutive-k-out-of-n system, generalized multistate 490
Consecutive-k-out-of-n system, increasing multistate 491
Consecutive-k-out-of-n system, k-within- 407
Consecutive-k-out-of-n system, linear 325
Consecutive-k-out-of-n system, m- 405
Consecutive-k-out-of-n system, multidimensional 384
Consecutive-k-out-of-n system, redundant 387 405
Consecutive-k-out-of-n system, series 424
Consecutive-k-out-of-n system, weighted 447
Consecutively connected system 438 453
Constant failure rate 35 37 110 381
Continuous distributions 27
Continuous multistate system 452
Continuous random variable 11
Convolution 14
Counting process 40
Critical components 104 378 381
Cubic rate of growth 67
Cumulative distribution function 11 13 480
Cumulative failure rate function 34
Cumulative hazard function 34
Cut 93
Cut, minimal cut 93 94 97 127 148 197 235 378
Cut, minimal cut set 93 345 447 458
Cut, minimal cut vector 93 479
Cut, set 93
Cut, vector 93
Death rate 54
Decomposition theorem 11
Decreasing failure rate 34
Decreasing order 199
Definition domain 474
Degraded states 474
Delta structure 172
Dependence 111
Dependent failures 124
DFR 34
Discrete distributions 20
Discrete multistate system 452
Discrete random variable 11
Distribution, Bernoulli 21
Distribution, Beta 28
Distribution, binomial 21
Distribution, bivariate normal 31
Distribution, discrete uniform 20
Distribution, exponential 14 36
Distribution, gamma 38
Distribution, geometric 12 23
Distribution, hypergeometric 24
Distribution, lognormal 39
Distribution, multinomial 26
Distribution, multivariate hypergeometric 27
Distribution, negative binomial 23
Distribution, normal 30
Distribution, Poisson 25 36 43
Distribution, standard normal 30
Distribution, standard uniform 28
Distribution, uniform 28
Distribution, Weibull 109
Divide-and-conquer algorithm 76
Dominance condition 214
Dominant system 495
Dormant failures 129
Dual 90 94 252 383
Dual failure mode 311
Dual system 252 369 479
Duality 479
Dynamic measure 103
Early failures 35
Equivalent 67
Equivalent component state vectors 495
Esary — Proschan method 183
Evaluation of summations 69
Event decomposition 339 383 420 423
Exchange Principle 207 229
Expansion method 77
| Expected life 33 105
Expected value 15 33
Factoring theorem 11
Failure rate function 33
Fault diagnosis 196
First moment about the origin 15
Frequency interpretation 8
Gamma function 28 38 505
General distribution 106
Generating function 71 167
Generation of minimal cuts 148 152
Generation of minimal paths 148 149
Graph-coloring problem 68
Greedily assembled 403
Greedy module assembly rule 227
Guess-and-prove method 80
Hazard function 33
Homogeneous Markov processes 47
Homogeneous Poisson process 41
Homogeneous process 40
Homogeneous transition probabilities 47 50
HPP 41
IE method 153 181 235 251 494
IFR 35
Imperfect fault coverage 124 277 295
Imperfect repair 43
Imperfect sensing and switching 136 138
Importance position 193
Importance reliability 193 328 350 352 362
Importance, Birnbaum 193 350 383 398 414
Importance, component 192
Importance, criticality 195
Importance, criticality importance in terms of system failure 195
Importance, criticality importance in terms of system success 195
Importance, structural 192 194 356
Inadmissible permutation 207
Increasing failure rate 35
Independent events 9
Independent increments 40
Independent random variable 19
Infant mortality 35
Inherently intractable 68
inner loop 159
Integration 72 74 190
Interarrival time 40
Invariant optimal arrangement 209
Invariant optimal assignment 209
Invariant optimal design 209 350 356 366 396 425
Irrelevant 90 439 440
Isotonic 200
Joint conditional distribution 20
Joint marginal distribution 19
Joint probability distribution function 16
k-out-of-n system 231 281
k-out-of-n system, combined 429
k-out-of-n system, constant multistate 483
k-out-of-n system, decreasing multistate 483
k-out-of-n system, generalized multistate 482
k-out-of-n system, increasing multistate 483
k-out-of-n system, s-stage 401
k-out-of-n system, simple multistate 480
k-out-of-n system, two-stage 401
k-terminal network 141
Kolmogorov's forward equations 53 54 56
Laplace transform 504
Lattice system 384
Lattice, subadditive 203
Lattice, superadditive 203
Linear consecutively connected systems 453
Linear rate of growth 67
Linearly connected systems 165
Logic function 96 98 395
Long ordered 402
Lower critical connection vector 479
Majorization 199
Marginal distribution 18
Markov chain imbeddable structures 164
Markov chains 165
Markov chains continuous-time 50
Markov chains discrete-time 46
Markov chains finite state 49
Markov chains homogeneous 47 50
Markov chains imbedded 49 50 344
Markov chains stationary 47 50
Markovian property 47
Master method 82
Mathematical induction 80
Maximum ordered 403
Mean Time Between Failures 105
Mean time to repair 105
Measures of performance 100
Median 14
Memoryless property 36 106
Minimal cut set 59
Minimal repair 43 106 308
Minimum ordered 403
MIS 164 415
Mission time 101
Modular decomposition 98 186
Module 97 124
Monotonic 200
MTBF 33 105 274
MTTF 33 36 104 106 107 112 126 270
MTTR 33 105 106
Multidimensional 386
Multistate monotone system 478
Multistate parallel system 481
Multistate series system 481
Multistate system 452
Multivariate distribution 16 19
Mutually exclusive 6
n-step transition probability 48
NDTO 214
Network diagram 141 144
NHPP 43
Node 141
Node child 465
Node intermediate 464
Node leaf 464
Node parent 465
Node removal method 149
Node root 464
Nondeterministic polynomial 68
Nondominant system 496
Nondominated totally ordered 214
Nonhomogeneous Poisson process 43 106 308
Nonrepairable system 103 303
NP 68
NP, complete 68
NP, hard 68
One-step transition probability 46 47
Optimal designs 396
Order of growth 64
Order of magnitude 64
Ordered allocation 214 402
Ordered partition 402
Ordinary moment 15
outer loop 158
Pairwise independent 9
Pairwise rearrangement 207
Parallel reductions 141
Parallel structure 92 98 107 189
Parallel system 88 90 94 96 102 103 169 171 209
Parallel system model 112
Parallel-series 210 403
Parallel-series system model 124
Path 93
Path set 93
Path vector 93
Path, minimal path 93 96 148 197 235
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