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A Generalized Block Replacement Policy with Minimal Repair and General Random Repair Costs for a Multi-Unit System

Shey-Huei Sheu
The Journal of the Operational Research Society
Vol. 42, No. 4 (Apr., 1991), pp. 331-341
DOI: 10.2307/2583386
Stable URL: http://www.jstor.org/stable/2583386
Page Count: 11
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A Generalized Block Replacement Policy with Minimal Repair and General Random Repair Costs for a Multi-Unit System
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Abstract

A generalization of the block replacement policy (BRP) is proposed and analysed for a multi-unit system which has the specific multivariate distribution. Under such a policy an operating system is preventively replaced at times kT (k = 1, 2, 3,...), as in the ordinary BRP, and the replacement of the failed system at failure is not mandatory; instead, a minimal repair to the component of the system can be made. The choice of these two possible actions is based on some random mechanism which is age-dependent. The cost of the ith minimal repair of the component at age y depends on the random part C(y) and the deterministic part ci(y). The aim of the paper is to find the optimal block interval T which minimizes the long-run expected cost per unit time of the policy.

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