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標題: Cost benefit analysis of availability systems with warm standby units and imperfect coverage
作者: Wang, K.H.
Chiu, L.W.
關鍵字: availability;imperfect coverage;recursive method;supplementary;variable;warmstandby units;machine interference model;series systems;reliability;components
Project: Applied Mathematics and Computation
期刊/報告no:: Applied Mathematics and Computation, Volume 172, Issue 2, Page(s) 1239-1256.
We study the cost benefit analysis of availability systems with warm standby units and imperfect coverage. The time-to-failure and the time-to-repair of the active and standby units are assumed to be exponentially and generally distributed, respectively. We assume that the coverage factor is the same for an active-unit failure as that for a standby-unit failure. We present a recursive method, using the supplementary variable technique and treating the supplementary variable as the remaining repair time, to develop the steady-state availability, (or Av), for three availability models. For each availability model, the explicit expressions for the Av for three various repair time distributions, such as exponential, k-stage Erlang, and deterministic are provided. Under the cost/benefit criterion, comparisons are performed based on assumed numerical values given to the distribution parameters, and to the cost of the active and standby units. (c) 2005 Elsevier Inc. All rights reserved.
ISSN: 0096-3003
DOI: 10.1016/j.amc.2005.02.052
Appears in Collections:應用數學系所

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