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Sojourn Times in Dependability Modeling

In: Principles of Performance and Reliability Modeling and Evaluation

Author

Listed:
  • Gerardo Rubino

    (Inria Rennes - Bretagne Atlantique, Campus de Beaulieu)

  • Bruno Sericola

    (Inria Rennes - Bretagne Atlantique, Campus de Beaulieu)

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.

Suggested Citation

  • Gerardo Rubino & Bruno Sericola, 2016. "Sojourn Times in Dependability Modeling," Springer Series in Reliability Engineering, in: Lance Fiondella & Antonio Puliafito (ed.), Principles of Performance and Reliability Modeling and Evaluation, pages 169-195, Springer.
    • Handle: RePEc:spr:ssrchp:978-3-319-30599-8_7
    DOI: 10.1007/978-3-319-30599-8_7
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