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Semi-Markov processes : applications in system reliability and maintenance / Franciszek Grabski.

By: Publication details: Amsterdam : Elsevier, c2015.Description: xiii, 255 p. : illustrations ; 24 cmISBN:
  • 9780128005187
Subject(s): DDC classification:
  • 519.233 23 G728
Contents:
1. Discrete state space Markov processes -- 2. Semi-Markov process -- 3. Characteristics and parameters of SMP -- 4. Perturbed semi-Markov processes -- 5. Stochastic processes associated with the SM process -- 6. SM models of renewable cold standby system -- 7. SM models of multistage operation -- 8. SM model of working intensity process -- 9. Multitask operation process -- 10. Semi-Markov failure rate process -- 11 Simple model of maintenance -- 12. Semi-Markov model of system component damage -- 13. Multistate systems with SM components -- 14. Semi-Markov maintenance nets -- 15. Semi-Markov decision processes -- Summary -- Bibliography -- Notation.
Summary: This book provides a modern view of discrete state space and continuous time semi-Markov processes and their applications in reliability and maintenance. It explains how to construct semi-Markov models and discusses the different reliability parameters and characteristics that can be obtained from those models. Topics include: properties and theorems from discrete state Semi-Markov Process (SMP) theory; method behind constructing Semi-Markov (SM) models and SM decision models in the field of reliability and maintenance; numerous individual versions of SM models, including the most recent and their impact on system reliability and maintenance.
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Includes bibliographical references.

1. Discrete state space Markov processes --
2. Semi-Markov process --
3. Characteristics and parameters of SMP --
4. Perturbed semi-Markov processes --
5. Stochastic processes associated with the SM process --
6. SM models of renewable cold standby system --
7. SM models of multistage operation --
8. SM model of working intensity process --
9. Multitask operation process --
10. Semi-Markov failure rate process --
11 Simple model of maintenance --
12. Semi-Markov model of system component damage --
13. Multistate systems with SM components --
14. Semi-Markov maintenance nets --
15. Semi-Markov decision processes --
Summary --
Bibliography --
Notation.

This book provides a modern view of discrete state space and continuous time semi-Markov processes and their applications in reliability and maintenance. It explains how to construct semi-Markov models and discusses the different reliability parameters and characteristics that can be obtained from those models. Topics include: properties and theorems from discrete state Semi-Markov Process (SMP) theory; method behind constructing Semi-Markov (SM) models and SM decision models in the field of reliability and maintenance; numerous individual versions of SM models, including the most recent and their impact on system reliability and maintenance.

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