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Multistate Systems Reliability Theory with Applications [Kõva köide]

  • Formaat: Hardback, 262 pages, kõrgus x laius x paksus: 236x158x19 mm, kaal: 517 g
  • Sari: Wiley Series in Probability and Statistics
  • Ilmumisaeg: 31-Dec-2010
  • Kirjastus: John Wiley & Sons Inc
  • ISBN-10: 0470697504
  • ISBN-13: 9780470697504
Teised raamatud teemal:
Multistate Systems Reliability Theory with ApplicationsSuurem pilt
  • Formaat: Hardback, 262 pages, kõrgus x laius x paksus: 236x158x19 mm, kaal: 517 g
  • Sari: Wiley Series in Probability and Statistics
  • Ilmumisaeg: 31-Dec-2010
  • Kirjastus: John Wiley & Sons Inc
  • ISBN-10: 0470697504
  • ISBN-13: 9780470697504
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9780470697504.html
Märksõnad:
Most books in reliability theory are dealing with a description of component and system states as binary: functioning or failed. However, many systems are composed of multi-state components with different performance levels and several failure modes. There is a great need in a series of applications to have a more refined description of these states, for instance, the amount of power generated by an electrical power generation system or the amount of gas that can be delivered through an offshore gas pipeline network. This book provides a descriptive account of various types of multistate system, bound-for multistate systems, probabilistic modeling of monitoring and maintenance of multistate systems with components along with examples of applications.

Key Features:





Looks at modern multistate reliability theory with applications covering a refined description of components and system states. Presents new research, such as Bayesian assessment of system availabilities and measures of component importance. Complements the methodological description with two substantial case studies. 

Reliability engineers and students involved in the field of reliability, applied mathematics and probability theory will benefit from this book.

Arvustused

"This work is both text and research monograph, offering the fundamentals as well as new research as he says, "on its way to being published in international journals." (Booknews, 1 April 2011)  

Preface xi
Acknowledgements xv
List of abbreviations
xvii
1 Introduction
1(10)
1.1 Basic notation and two simple examples
2(2)
1.2 An offshore electrical power generation system
4(2)
1.3 Basic definitions from binary theory
6(3)
1.4 Early attempts to define multistate coherent systems
9(1)
1.5 Exercises
10(1)
2 Basics
11(38)
2.1 Multistate monotone and coherent systems
11(5)
2.2 Binary type multistate systems
16(6)
2.3 Multistate minimal path and cut vectors
22(8)
2.4 Stochastic performance of multistate monotone and coherent systems
30(13)
2.5 Stochastic performance of binary type multistate strongly coherent systems
43(3)
2.6 Exercises
46(3)
3 Bounds for system availabilities and unavailabilities
49(50)
3.1 Performance processes of the components and the system
50(3)
3.2 Basic bounds in a time interval
53(8)
3.3 Improved bounds in a time interval using modular decompositions
61(6)
3.4 Improved bounds at a fixed point of time using modular decompositions
67(8)
3.5 Strict and exactly correct bounds
75(5)
3.6 Availabilities and unavailabilities of the components
80(4)
3.7 The simple network system revisited
84(7)
3.8 The offshore electrical power generation system revisited
91(8)
4 An offshore gas pipeline network
99(14)
4.1 Description of the system
99(8)
4.2 Bounds for system availabilities and unavailabilities
107(6)
5 Bayesian assessment of system availabilities
113(20)
5.1 Basic ideas
113(4)
5.2 Moments for posterior component availabilities and unavailabilities
117(2)
5.3 Bounds for moments for system availabilities and unavailabilities
119(8)
5.4 A simulation approach and an application to the simple network system
127(6)
6 Measures of importance of system components
133(28)
6.1 Introduction
133(1)
6.2 Measures of component importance in nonrepairable systems
134(8)
6.2.1 The Birnbaum measure
135(2)
6.2.2 The Barlow-Proschan measure
137(1)
6.2.3 The Natvig measure
138(4)
6.3 The Birnbaum and Barlow-Proschan measures of component importance in repairable systems and the latter's dual extension
142(7)
6.3.1 The Birnbaum measure
142(1)
6.3.2 The Barlow-Proschan measure
143(4)
6.3.3 The dual extension of the Barlow-Proschan measure
147(2)
6.4 The Natvig measure of component importance in repairable systems and its dual extension
149(11)
6.4.1 The Natvig measure
149(5)
6.4.2 The dual extension of the Natvig measure
154(6)
6.5 Concluding remarks
160(1)
7 Measures of component importance - a numerical study
161(34)
7.1 Introduction
161(1)
7.2 Component importance in two three-component systems
162(11)
7.3 Component importance in the bridge system
173(8)
7.4 Application to an offshore oil and gas production system
181(12)
7.4.1 Exponentially distributed repair times and times spent in each of the non complete failure states
185(2)
7.4.2 Gamma distributed repair times and times spent in each of the non complete failure states
187(6)
7.5 Concluding remarks
193(2)
8 Probabilistic modeling of monitoring and maintenance
195(16)
8.1 Introduction and basic marked point process
195(2)
8.2 Partial monitoring of components and the corresponding likelihood formula
197(2)
8.3 Incorporation of information from the observed system history process
199(3)
8.4 Cause control and transition rate control
202(2)
8.5 Maintenance, repair and aggregation of operational periods
204(2)
8.6 The offshore electrical power generation system
206(2)
8.7 The data augmentation approach
208(3)
Appendix A Remaining proofs of bounds given in
Chapter 3
211(8)
A.1 Proof of the inequalities 14, 7 and 8 of Theorem 3.12
211(3)
A.2 Proof of inequality 14 of Theorem 3.13
214(1)
A.3 Proof of inequality 10 of Theorem 3.17
215(4)
Appendix B Remaining intensity matrices in
Chapter 4
219(4)
References 223(4)
Index 227
Bent Natvig is Professor in Mathematics Statistics, University of Oslo. Member of Research Education Committee, Faculty of Mathematics and Natural Sciences, 2000-. Member of User Committee, G.H. Sverdrup's Building, 2000-. Guest/Invited speaker at numerous lectures around Europe and America for the past 30 years. Speaking on reliability theory and mathematics and statistics. Research interests include: Reliability theory and risk analysis, Bayesian statistics, Bayesian forecasting and dynamic models and queuing theory. Currently Associate Editor of Methodology and Computing in Applied Probability.