Sojourn Times in Dependability Modeling

Gerardo Rubino () and Bruno Sericola ()
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Gerardo Rubino: Inria Rennes - Bretagne Atlantique, Campus de Beaulieu
Bruno Sericola: Inria Rennes - Bretagne Atlantique, Campus de Beaulieu

A chapter in Principles of Performance and Reliability Modeling and Evaluation, 2016, pp 169-195 from Springer

Abstract: Abstract We consider Markovian models of computing or communication systems, subject to failures and, possibly, repairs. The dependability properties of such systems lead to metrics that can all be described in terms of the time that the Markov chain spends in subsets of its state space. Some examples of such metrics are MTTF and MTTR, reliability or availability at a point in time, the mean or the distribution of the interval availability in a fixed time interval, and more generally different performability versions of these measures. This chapter reviews this point of view and its consequences, and discusses some new results related to it.

Keywords: Sojourn Time; Interval Availability; semi-Markov Reward Processes; Asymptotic Availability; Motion Control Variables (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:ssrchp:978-3-319-30599-8_7

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DOI: 10.1007/978-3-319-30599-8_7

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