Optimal m-failure policies with random repair time

Authors:
John G. Wilson;Ali Benmerzouga
Affiliations:
Department of Operations Research, Weatherhead School of Management, Case Western University, Cleveland, OH, USA;Department of Operations Research, Weatherhead School of Management, Case Western Reserve University, Cleveland, OH, USA
Venue:
Operations Research Letters
Year:
1990

Citing 1
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Abstract

The failure times of n machines are i.i.d. exponential random variables with parameter @l. This paper extends Assaf and Shanthikumar's (1987) repair and replacement model to the case where repairtime is a nonnegative random variable. The behaviour of the optimal policy as a function of the cost parameters is investigated. The cost function is shown to be unimodal and an easily implemented algorithm for finding optimal policies is developed.