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.
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© 2011 Springer-Verlag Berlin Heidelberg
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Gouberman, A., Siegle, M. (2011). On Lifetime Optimization of Boolean Parallel Systems with Erlang Repair Distributions. In: Hu, B., Morasch, K., Pickl, S., Siegle, M. (eds) Operations Research Proceedings 2010. Operations Research Proceedings. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20009-0_30
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DOI: https://doi.org/10.1007/978-3-642-20009-0_30
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