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Kuo W., Zuo M.J. — Optimal Reliability Modeling: Principles and Applications
Kuo W., Zuo M.J. — Optimal Reliability Modeling: Principles and Applications

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Название: Optimal Reliability Modeling: Principles and Applications

Авторы: Kuo W., Zuo M.J.

Аннотация:

Promotes better ways to diagnose, maintain, and improve existing systems.
Existing reliability evaluation models are examined with respect to today's complicated engineering systems that have hundreds of thousands of integrated component designs.


Язык: en

Рубрика: Математика/Оптимизация и управление/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2003

Количество страниц: 544

Добавлена в каталог: 23.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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, -$k_{c}$-out-of-w      429
Consecutive-k-out-of-n system, 1-d Con/$k_{c}$/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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