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Determination/estimation of an optimal replacement interval under minimal repair
Abstract:In this paper the problem of estimation of an optimal replacement interval for a system which is minimally repaired at failures is studied. The problem is investigated both under a parametric and a nonparametric form of the failure intensity of the system. It is assumed that observational data from n systems are available. Some asymptotic results are shown. A graphical procedure for determining/estimating an optimal replacement interval is presented. The procedure is particularly valuable for sensitivity analyses, for example with respect to the costs involved.
Keywords:Minimal repair  optimal replacement  average cost criterion  expected discounted cost criterion  nonhomogenous Poisson processes  counting processes  estimation  asymptotic analysis  graphical analysis
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