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On Lifetime Optimization of Boolean Parallel Systems with Erlang Repair Distributions

In: Operations Research Proceedings 2010

Author

Listed:
  • Alexander Gouberman

    (Universität der Bundeswehr)

  • Markus Siegle

    (Universität der Bundeswehr)

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.

Suggested Citation

  • Alexander Gouberman & Markus Siegle, 2011. "On Lifetime Optimization of Boolean Parallel Systems with Erlang Repair Distributions," Operations Research Proceedings, in: Bo Hu & Karl Morasch & Stefan Pickl & Markus Siegle (ed.), Operations Research Proceedings 2010, pages 187-192, Springer.
    • Handle: RePEc:spr:oprchp:978-3-642-20009-0_30
    DOI: 10.1007/978-3-642-20009-0_30
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