On replacement policies for additive systemswith several working levels

Mallor and Azcárate

Annals of Operations Research, 1999, vol. 91, issue 0, 63-82

Abstract: The purpose of this paper is to analyze systems composed of several parts, at differentworking levels. At time t, only the performance level of the system, exactly determined inan additive way by the level of the unobservable components, can be observed. We obtainthe probability distribution of the component state vector, given the system performancelevel observed, under the asumption that each component spends an exponential time ineach state. Because of their complexity, these distributions, in practice, cannot be directlyevaluated. Therefore, we provide some recurrent methods which allow us to calculate thoseprobabilities in polynomial time. Finally, the question of using these results to obtain anoptimal replacement policy is considered. Copyright Kluwer Academic Publishers 1999

Date: 1999
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DOI: 10.1023/A:1018918311166

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