On Lifetime Optimization of Boolean Parallel Systems with Erlang Repair Distributions

Alexander Gouberman () and Markus Siegle ()
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Alexander Gouberman: Universität der Bundeswehr
Markus Siegle: Universität der Bundeswehr

A chapter in Operations Research Proceedings 2010, 2011, pp 187-192 from Springer

Abstract: Abstract We assume a Boolean parallel system with exponentially distributed component failure times. In order to maximize the lifetime of the system we consider a repairman with Erlang-k distributed repair time. By extending the classical exponential case k = 1 to k ≥ 2 different repair semantics arise in this context. In the case of restart repair semantics we show that a repairman should have few Erlang phases in order to maximize mean time to failure (MTTF). In the case k ≥ with full memory semantics an optimal repairman policy shows counter-intuitive repair behaviour dependent on the mean repair time.

Keywords: Optimal Policy; Sojourn Time; Repair Time; Erlang Distribution; Repair Model (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:oprchp:978-3-642-20009-0_30

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DOI: 10.1007/978-3-642-20009-0_30

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