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Produktbild: Importance Measures in Reliability, Risk, and Optimization

Importance Measures in Reliability, Risk, and Optimization Principles and Applications

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

02.07.2012

Verlag

John Wiley & Sons

Seitenzahl

480

Maße (L/B/H)

24,9/17,3/2,5 cm

Gewicht

862 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-119-99344-5

Beschreibung

Rezension

"It will definitely be very useful for those interested in studying various structures." ( Computing Reviews , 5 November 2012)

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

02.07.2012

Verlag

John Wiley & Sons

Seitenzahl

480

Maße (L/B/H)

24,9/17,3/2,5 cm

Gewicht

862 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-119-99344-5

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: Importance Measures in Reliability, Risk, and Optimization
  • Preface xv
    References xvii

    Acknowledgements xix

    Part One INTRODUCTION and BACKGROUND 1

    Introduction 2

    1 Introduction to Importance Measures 5

    References 11

    2 Fundamentals of Systems Reliability 13

    2.1 Block Diagrams 13

    2.2 Structure Functions 14

    2.3 Coherent Systems 17

    2.4 Modules within a Coherent System 18

    2.5 Cuts and Paths of a Coherent System 19

    2.6 Critical Cuts and Critical Paths of a Coherent System 21

    2.7 Measures of Performance 23

    2.7.1 Reliability for a mission time 24

    2.7.2 Reliability function (of time t) 25

    2.7.3 Availability function 27

    2.8 Stochastic Orderings 28

    2.9 Signature of Coherent Systems 28

    2.10 Multilinear Functions and Taylor (Maclaurin) Expansion 31

    2.11 Redundancy 32

    2.12 Reliability Optimization and Complexity 33

    2.13 Consecutive-k-out-of-n Systems 34

    2.14 Assumptions 35

    References 36

    Part Two PRINCIPLES of IMPORTANCE MEASURES 39

    Introduction 40

    3 The Essence of Importance Measures 43

    3.1 ImportanceMeasures in Reliability 43

    3.2 Classifications 44

    3.3 c -type and p -type ImportanceMeasures 45

    3.4 ImportanceMeasures of a Minimal Cut and a Minimal Path 45

    3.5 Terminology 45

    References 46

    4 Reliability Importance Measures 47

    4.1 The B-reliability Importance 47

    4.1.1 The B-reliability importance for system functioning and for system failure 52

    4.1.2 The criticality reliability importance 52

    4.1.3 The Bayesian reliability importance 53

    4.2 The FV Reliability Importance 53

    4.2.1 The c-type FV (c-FV) reliability importance 54

    4.2.2 The p-type FV (p-FV) reliability importance 54

    4.2.3 Decomposition of state vectors 54

    4.2.4 Properties 56

    References 57

    5 Lifetime Importance Measures 59

    5.1 The B-time-dependent-lifetime Importance 59

    5.1.1 The criticality time-dependent lifetime importance 61

    5.2 The FV Time-dependent Lifetime Importance 61

    5.2.1 The c-FV time-dependent lifetime importance 61

    5.2.2 The p-FV time-dependent lifetime importance 63

    5.2.3 Decomposition of state vectors 64

    5.3 The BP Time-independent Lifetime Importance 64

    5.4 The BP Time-dependent Lifetime Importance 69

    5.5 Numerical Comparisons of Time-dependent Lifetime ImportanceMeasures 69

    5.6 Summary 71

    References 72

    6 Structure Importance Measures 73

    6.1 The B-i.i.d. Importance and B-structure Importance 73

    6.2 The FV Structure Importance 76

    6.3 The BP Structure Importance 76

    6.4 Structure ImportanceMeasures Based on the B-i.i.d. importance 79

    6.5 The Permutation Importance and Permutation Equivalence 80

    6.5.1 Relations to minimal cuts and minimal paths 81

    6.5.2 Relations to systems reliability 83

    6.6 The Domination Importance 85

    6.7 The Cut Importance and Path Importance 86

    6.7.1 Relations to the B-i.i.d. importance 87

    6.7.2 Computation 89

    6.8 The Absoluteness Importance 91

    6.9 The Cut-path Importance,Min-cut Importance, and Min-path Importance 92

    6.10 The First-term Importance and Rare-event Importance 93

    6.11 c-type and p-type of Structure ImportanceMeasures 93

    6.12 Structure ImportanceMeasures for Dual Systems 94

    6.13 Dominant Relations among ImportanceMeasures 96

    6.13.1 The absoluteness importance with the domination importance 96

    6.13.2 The domination importance with the permutation importance 96

    6.13.3 The domination importance with the min-cut importance and min-path importance 96

    6.13.4 The permutation importance with the FV importance 96

    6.13.5 The permutation importance with the cut-path importance, min-cut importance,

    and min-path importance 100

    6.13.6 The cut-path importance with the cut importance and path importance 101

    6.13.7 The cut-path importance with the B-i.i.d. importance 101

    6.13.8 The B-i.i.d. importance with the BP importance 102

    6.14 Summary 102

    References 105

    7 ImportanceMeasures of Pairs and Groups of Components 107

    7.1 The Joint Reliability Importance an