Book description
Semi-Markov Processes: Applications in System Reliability and Maintenance is a modern view of discrete state space and continuous time semi-Markov processes and their applications in reliability and maintenance. The book explains how to construct semi-Markov models and discusses the different reliability parameters and characteristics that can be obtained from those models.
The book is a useful resource for mathematicians, engineering practitioners, and PhD and MSc students who want to understand the basic concepts and results of semi-Markov process theory.
- Clearly defines the properties and theorems from discrete state Semi-Markov Process (SMP) theory
- Describes the method behind constructing Semi-Markov (SM) models and SM decision models in the field of reliability and maintenance
- Provides numerous individual versions of SM models, including the most recent and their impact on system reliability and maintenance
Table of contents
- Cover image
- Title page
- Table of Contents
- Copyright
- Dedication
- Preface
- 1. Discrete state space Markov processes
-
2. Semi-Markov process
- Abstract
- 2.1 Markov renewal processes
- 2.2 Definition of discrete state space SMP
- 2.3 Regularity of SMP
- 2.4 Other methods of determining the SMP
- 2.5 Connection between Semi-Markov and Markov process
- 2. 6 Illustrative examples
- 2.7 Elements of statistical estimation
- 2.8 Nonhomogeneous 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
- Abstract
- 10.1 Introduction
- 10.2 Reliability function with random failure rate
- 10.3 Semi-Markov Failure Rate Process
- 10.4 Random Walk Failure Rate Process
- 10.5 Alternating failure rate process
- 10.6 Poisson failure rate process
- 10.7 Furry-Yule failure rate process
- 10.8 Failure rate process depending on random load
- 10.9 Conclusions
- 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
- Abstract
- 15.1 Introduction
- 15.2 Semi-Markov decision processes
- 15.3 Optimization for a finite states change
- 15.4 SM decision model of maintenance operation
- 15.5 Optimal Strategy for the Maintenance Operation
- 15.6 Optimization Problem for Infinite Duration Process
- 15.7 Decision problem for renewable series system
- 15.8 Conclusions
- Summary
- Bibliography
- Notation
Product information
- Title: Semi-Markov Processes
- Author(s):
- Release date: September 2014
- Publisher(s): Elsevier
- ISBN: 9780128006597
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