Journal
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 235, Issue 1, Pages 180-186Publisher
ELSEVIER
DOI: 10.1016/j.ejor.2013.12.027
Keywords
Reliability; Applied probability; Warm standby system; Distributions of phase type
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An n-unit system provisioned with a single warm standby is investigated. The individual units are subject to repairable failures, while the entire system is subject to a nonrepairable failure at some finite but random time in the future. System performance measures for systems observed over a time interval of random duration are introduced. Two models to compute these system performance measures, one employing a policy of block replacement, and the other without a block replacement policy, are developed. Distributional assumptions involving distributions of phase type introduce matrix Laplace transformations into the calculations of the performance measures. It is shown that these measures are easily carried out on a laptop computer using Microsoft Excel. A simple economic model is used to illustrate how the performance measures may be used to determine optimal economic design specifications for the warm standby. (C) 2013 Elsevier B.V. All rights reserved.
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