Group replacement policies for parallel systems whosecomponents have phase distributed failure times

E. Popova and J.G. Wilson

Annals of Operations Research, 1999, vol. 91, issue 0, 163-198

Abstract: Consider a system of components operating in parallel. Downtime costs are incurredwhen failed components are not repaired or replaced. There are also fixed, unit repair andreplacement costs associated with the system. The failure distributions of the componentsare assumed to be identically distributed random variables. Results on calculating the expectedcost and variance per unit time of various group replacement policies will be provided.Consideration of variance is important since, in many cases, practitioners wish not only toachieve small expected cost but also to reduce variability from cycle to cycle. Phase distributionsallow for the modeling of a wide range failure time behavior. Closed‐form resultsare derived for the three major classes of group replacement policy (m‐failure, T‐age, and(m, T)) when the underlying distribution is of phase type. Copyright Kluwer Academic Publishers 1999

Date: 1999
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DOI: 10.1023/A:1018941521644

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