Markov Chains and Dependability Theory

by Gerardo Rubino and Bruno Sericola

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Book cover for Markov Chains and Dependability Theory

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Dependability metrics are omnipresent in every engineering field, from simple ones through to more complex measures combining performance and dependability aspects of systems. This book presents the mathematical basis of the analysis of these metrics in the most used framework, Markov models, describing both basic results and specialised techniques. The authors first present both discrete and continuous time Markov chains before focusing on dependability measures, which necessitate the study of Markov chains on a subset of states representing different user satisfaction levels for the modelled system. Topics covered include Markovian state lumping, analysis of sojourns on subset of states of Markov chains, analysis of most dependability metrics, fundamentals of performability analysis, and bounding and simulation techniques designed to evaluate dependability measures. The book is of interest to graduate students and researchers in all areas of engineering where the concepts of lifetime, repair duration, availability, reliability and risk are important.
  • ISBN10 1316003396
  • ISBN13 9781316003398
  • Publish Date 3 July 2014 (first published 22 May 2014)
  • Publish Status Active
  • Publish Country US
  • Imprint Cambridge University Press
  • Pages 288
  • Language English