Semi-Markov processes : applications in system reliability and maintenance

**__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.

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.

Content: Front Matter, Pages i-ii Copyright, Page iv Dedication, Page v Preface, Pages xi-xiii 1 - Discrete state space Markov processes, Pages 1-17 2 - Semi-Markov process, Pages 19-35 3 - Characteristics and parameters of SMP, Pages 37-65 4 - Perturbed Semi-Markov processes, Pages 67-82 5 - Stochastic processes associated with the SM process, Pages 83-97 6 - SM models of renewable cold standby system, Pages 99-118 7 - SM models of multistage operation, Pages 119-133 8 - SM model of working intensity process, Pages 135-147 9 - Multitask operation process, Pages 149-160 10 - Semi-Markov Failure Rate Process, Pages 161-176 11 - Simple model of maintenance, Pages 177-186 12 - Semi-Markov model of system component damage, Pages 187-197 13 - Multistate systems with SM components, Pages 199-215 14 - Semi-Markov maintenance nets, Pages 217-228 15 - Semi-Markov decision processes, Pages 229-244 Summary, Page 245 Bibliography, Pages 247-251 Notation, Pages 253-255 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. -- Edited summary from book