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.
PREFACE NOTATIONS LIST OF FIGURES LIST OF TABLES 1.RANDOM PROCESS 2.DISCRETE STATE SPACE MARKOV PROCESSES 3.SEMI-MARKOV PROCESS 4.CHARACTERISTICS OF SEMI-MARKOV PROCESS 5.PERTURBED SEMI-MARKOV PROCESSES 6.STOCHASTIC PROCESSES ASSOCIATED WITH SEMI-MARKOV PROCESS 7.MODELS OF RENEWABLE COLD STANDBY SYSTEM WITH REPAIR 8.SEMI-MARKOV MODELS OF MULTI-STAGE OPERATION 9.SEMI-MARKOV MODEL OF WORKING RATE PROCESS 10.MULTI-TASK OPERATION PROCESS 11.SEMI-MARKOV FAILURE RATE PROCESS 12.MODEL OF RENEWABLE SERIES SYSTEM 13.SIMPLE MODELS OF MAINTENANCE 14.MULTI-STATE PROCESS OF SYSTEM DAMAGE 15.MULTI-STATE SYSTEM WITH SEMI-MARKOV COMPONENTS 16.SEMI-MARKOV MAINTENANCE NET 17.SEMI-MARKOV DECISION PROCESSES 18.APPENDIX SUMMARY BIBLIOGRAPHY
Franciszek Grabski is a Full Professor and the Head of the Mathematics and Physics Department at the Naval University in Gdynia, Poland.
The main focus of his math research interests focus on probability theory, in particular its applications in system reliability theory and practice. He has constructed and tested several new reliability stochastic models and developed the Bayesian methods applications in reliability.He is the author or co-author of more than 100 scientific papers, course-books and monographs in the probability and reliability field. His main monographs are published in Polish.