Time-Dependent Behavior of Redundant Systems with Deterministic Repair

Dimitris Logothetis and Kishor Trivedi
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Dimitris Logothetis: Duke University, Department of Electrical Engineering
Kishor Trivedi: Duke University, Department of Electrical Engineering

Chapter 9 in Computations with Markov Chains, 1995, pp 135-150 from Springer

Abstract: Abstract In this paper, we consider various redundant systems attended by a single repairperson that services components in a First Come First Served (FCFS) order. Failure times are taken to be exponentially distributed random variables, while repair times are deterministic. As a result, the underlying stochastic process is not Markovian or semi-Markovian. However, the underlying stochastic process is Markov regenerative and as such we are able to write and solve equations for the process. We compute various dependability measures, such as reliability function, Mean Time To Failure (MTTF), time-dependent and steady-state availability.

Keywords: Reliability Function; Redundant System; First Come First Serve; Standby System; Cold Standby (search for similar items in EconPapers)
Date: 1995
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DOI: 10.1007/978-1-4615-2241-6_9

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