Introduction to fuzzy reliability:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Kluwer
1996
|
| Series: | The Kluwer international series in engineering and computer science
363 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 311 S. |
| ISBN: | 0792397371 |
Staff View
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| 100 | 1 | |a Cai, Kai-Yuan |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Introduction to fuzzy reliability |c by Kai-Yuan Cai |
| 264 | 1 | |a Boston [u.a.] |b Kluwer |c 1996 | |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
LIST OF FIGURES xi
LIST OF TABLES xiii
PREFACE xv
ACKNOWLEDGMENTS xvii
1 INTRODUCTION 1
1.1 System Failure Engineering 1
1.2 Understanding Uncertainty 10
1.3 Why Fuzzy Methodology in System Failure Engineering 12
1.4 Overview on Fuzzy Methodology in System Failure Engineering 15
References 29
2 FUZZY SETS AND POSSIBILITY SPACES 35
2.1 Fuzzy Sets 35
2.2 Fuzzy Numbers 40
2.3 Possibility Spaces and Conditional Possibility 43
2.4 Possibilistic Variables 54
2.5 Existence Theorem of Possibility Space 62
References 69
3 FUZZY METHODS IN PROBIST SYSTEMS 71
3.1 Probist Reliability as a Fuzzy Number 71
3.2 Fuzzy Probist System Reliability 74
3.3 Fuzzy Probist Fault Tree Analysis 77
References 85
4 PROFUST RELIABILITY THEORY 87
4.1 Basic Concepts 87
4.2 Typical Systems 99
vj[j Contents
4.3 Mixture Models 105
4.4 Coherent Systems 121
References 134
5 PROFUST RELIABILITY BEHAVIOR OF ENGINEERING
SYSTEMS 135
5.1 Street Lighting Lamps Replacement Problem 135
5.2 Gracefully Degradable Computing Systems 144
5.3 Computer Communication Networks 153
5.4 Computer Integrated Manufacturing Systems 172
5.5 Fly by Wire Control Systems 180
References 192
6 POSBIST RELIABILITY THEORY IN TERMS OF SYSTEM
LIFETIMES 193
6.1 System Lifetimes 193
6.2 Series Systems 195
6.3 Parallel Systems 200
6.4 Coherent Systems 201
6.5 Fault Tolerant Systems 204
References 218
7 POSBIST RELIABILITY THEORY IN TERMS OF SYSTEM
STATES 219
7.1 System States 219
7.2 Series Systems 221
7.3 Parallel Systems 222
7.4 Coherent Systems 223
7.5 Reliability Importance 228
7.6 Typical Systems with Two Types of Failures 229
References 241
8 FUZZY METHODS IN SOFTWARE RELIABILITY MODELING
243
8.1 Continuous Time Software Reliability Modeling 243
8.2 Reliability Behavior of Flight Control Software 252
8.3 Software Reliability Validation 257
8.4 Discrete Time Software Reliability Modeling 260
8.5 Combined Hardware Software Reliability Modeling 266
References 275
CONTENTS ix
9 MATHEMATICAL PROBLEMS 277
References 279
APPENDIX 1 S EQUALITIES OF FUZZY SETS 281
APPENDIX 2 LIU HUANG ALGORITHM 299
APPENDIX 3 SOFTWARE RELIABILITY DATA 301
INDEX 307
LIST OF FIGURES
Figure 2.1 Triangular fiizzy number
Figure 2.2 Trapezoidal fuzzy number
Figure 3.1 An example probist fault tree
Figure 3.2 An example multistate fault tree
Figure 4.1 A typical behavior of grade of failure membership
Figure 5.1 Behavior of AC(T) (X = 10 I/hour, c = , Na = 10)
Figure5.2 Behavior of RTp(t) and Rf(t) for Gamma, exponential, and
Weibull lifetime distribution
Figure 5.3 Markov model for a gracefully degradable system
Figure 5.4 Profust reliability behavior for a gracefully degradable systems
(X = 10 I/hour, c = 0.9)
Figure 5.5 System profust reliability behavior for different coverage factor
(A = 10 3/hour)
Figure 5.6 Relationship between profust reliability and coverage factor
(A = 10 /hour, t = 500 hours)
Figure 5.7 Markov model for a gracefully degradable system with
maintenance
Figure 5.8 Numerical behavior of profust availability of a gracefully
degradable system with maintenance (X = 10 /hour, t = 500
hours, c = 0.9)
Figure 5.9 An example CCN
Figure 5.10 Dependency chart for a CCN
Figure 5.11 CCN with two nodes and one link
Figure 5.12 Program trees
Figure 5.13 Component reliability behavior and network profust survivability
(/l = /l000 hours X = /500 hours ^
Figure 5.14 A simple CCN with two nodes and one link
Figure 5.15 Dependency chart for the simple CCN
Figure 5.16 Markovian model for the simple CCN
Figure 5.17 Profust availability behavior in the presence of maintenance
Figure 5.18 A specified profust availability behavior (/ = 500 hours) with
respect to the maintenance ratio
Figure 5.19 Architecture of FCS CIMS
Figure 5.20 A simplified reliability model for the FCS CIMS
xii List of Figures
Figure 5.21 Profust reliability behavior of FCS CIMS
Figure 5.22 Reliability logical diagram and numbering codes of a
longitudinal FBW system
Figure 5.23 Profust reliability behavior with respect to time
Figure 6.1 Redundant system
Figure 7.1 Series parallel system
Figure 7.2 Parallel series system
Figure 8.1 Actual failure interval behavior against predictive failure interval
behavior of SS Model I
Figure 8.2 Actual failure interval behavior against predictive failure interval
behavior of SS Model II
Figure 8.3 Actual failure interval behavior against predictive failure interval
behavior of SS Model III
Figure 8.4 Actual failure interval behavior against predictive failure interval
behavior ofSS Model IV
Figure 8.5 Actual failure interval behavior against predictive failure interval
behavior of FSRM
Figure 8.6 Actual values against predicted values of cumulative MTBF
Figure 8.7 Shape of pi v (x)
Figure 8.8 Sequential decision chart of software reliability validation
Figure 8.9 Software run execution process
LIST OF TABLES
Table 5.1 Numerical results of AC(T) (/I = 10 I/hour, c = ,
Table 5.2 Numerical results of RTp(t) and /?;(/) (A = 10 I/hour,
c = , 7V(, =10)
Table 5.3 Numerical results of system reliability behavior (X = 10 1 /hour,
c = 0.9)
Table 5.4 Numerical results of system profust reliability with different
coverage factors
Table 5.5 Numerical results of the relationship between profust reliability
and coverage factor (A = 10 /hour, / = 500 hours)
Table 5.6 Numerical results of profust availability in the presence of
maintenance (k = 10 /hour, / = 500 hours, c = 0.9)
Table 5.7 Relative weights of programs to the CCN
Table 5.8 Enumeration of subarchitectures contributing to the
network survivability
Table 5.9 Numerical results of profust survivability behavior
(X = XoOO hours X = /500 hours}
Table 5 10 Subarchitecture enumeration of the simple CCN
Table Ml Numerical results of profust availability in the presence of
maintenance
Table 5.12 Enumeration of the FCS CIMS subarchitectures
Table 5.13 Numerical Results for the Profust Reliability of FCS CIMS
Table 5.14 Component failure rates (x 10 4 / hours)
Table 5.15 State probabilities of the FBW system with high failure rates
Table 5.16 State probabilities of the FBW system with mediate failure rates
Table 5.17 State probabilities of the FBW system with low failure rates
Table 5 18 Profust reliability of the FBW system
(^(^) = 0,//v(5) = 0.2,/,.v(C) = 0,^(D) = l)
Table 5.19 State probabilities and profust reliability of the FBW system w,th
respect to coverage factor in the case of h.gh failure rates
Table 5 20 State probabilities and profust reliability of the FBW system with
respect to coverage factor in the case of med.ate fa.lure rates
Table 7.1 Component states versus system states
xiv List of Tables
Table 8.1 Numerical values of error measures
Table 8.2 Software reliability growth data
Table 8.3 Predicted values of FSRM for flight control software
Table 8.4 Software validation experiment results
|
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| author | Cai, Kai-Yuan |
| author_facet | Cai, Kai-Yuan |
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| id | DE-604.BV011161663 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:05:00Z |
| institution | BVB |
| isbn | 0792397371 |
| language | English |
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| physical | XVI, 311 S. |
| publishDate | 1996 |
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| series | The Kluwer international series in engineering and computer science |
| series2 | The Kluwer international series in engineering and computer science |
| spelling | Cai, Kai-Yuan Verfasser aut Introduction to fuzzy reliability by Kai-Yuan Cai Boston [u.a.] Kluwer 1996 XVI, 311 S. txt rdacontent n rdamedia nc rdacarrier The Kluwer international series in engineering and computer science 363 Ensembles flous ram Fiabilité - Mathématiques ram Informatique - Fiabilité ram Inteligencia artificial larpcal Reliability (Engineering) Electronic digital computers -- Reliability Computer software -- Reliability Fuzzy sets Fuzzy logic Fuzzy-Logik (DE-588)4341284-1 gnd rswk-swf Zuverlässigkeit (DE-588)4059245-5 gnd rswk-swf Software (DE-588)4055382-6 gnd rswk-swf Software (DE-588)4055382-6 s Zuverlässigkeit (DE-588)4059245-5 s Fuzzy-Logik (DE-588)4341284-1 s DE-604 The Kluwer international series in engineering and computer science 363 (DE-604)BV023545171 363 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007481829&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cai, Kai-Yuan Introduction to fuzzy reliability The Kluwer international series in engineering and computer science Ensembles flous ram Fiabilité - Mathématiques ram Informatique - Fiabilité ram Inteligencia artificial larpcal Reliability (Engineering) Electronic digital computers -- Reliability Computer software -- Reliability Fuzzy sets Fuzzy logic Fuzzy-Logik (DE-588)4341284-1 gnd Zuverlässigkeit (DE-588)4059245-5 gnd Software (DE-588)4055382-6 gnd |
| subject_GND | (DE-588)4341284-1 (DE-588)4059245-5 (DE-588)4055382-6 |
| title | Introduction to fuzzy reliability |
| title_auth | Introduction to fuzzy reliability |
| title_exact_search | Introduction to fuzzy reliability |
| title_full | Introduction to fuzzy reliability by Kai-Yuan Cai |
| title_fullStr | Introduction to fuzzy reliability by Kai-Yuan Cai |
| title_full_unstemmed | Introduction to fuzzy reliability by Kai-Yuan Cai |
| title_short | Introduction to fuzzy reliability |
| title_sort | introduction to fuzzy reliability |
| topic | Ensembles flous ram Fiabilité - Mathématiques ram Informatique - Fiabilité ram Inteligencia artificial larpcal Reliability (Engineering) Electronic digital computers -- Reliability Computer software -- Reliability Fuzzy sets Fuzzy logic Fuzzy-Logik (DE-588)4341284-1 gnd Zuverlässigkeit (DE-588)4059245-5 gnd Software (DE-588)4055382-6 gnd |
| topic_facet | Ensembles flous Fiabilité - Mathématiques Informatique - Fiabilité Inteligencia artificial Reliability (Engineering) Electronic digital computers -- Reliability Computer software -- Reliability Fuzzy sets Fuzzy logic Fuzzy-Logik Zuverlässigkeit Software |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007481829&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT caikaiyuan introductiontofuzzyreliability |