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On the optimal policies of an exponential machine repair problem

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  • Tapani Lehtonen

Abstract

We consider an exponential repair model with s machines and one repairman. The machines' failure rates are equal but the repair rate may change from machine to machine. The repairman repairs the failed machines one at a time and in the course of his work he may even interrupt repairing one machine and start another. We compare repair policies and prove an optimality result by means of stochastic order. The proof is based on representing the compared models simultaneously in a special way and comparing then the sample paths of the interesting stochastic processes.

Suggested Citation

  • Tapani Lehtonen, 1984. "On the optimal policies of an exponential machine repair problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 31(2), pages 173-181, June.
    • Handle: RePEc:wly:navlog:v:31:y:1984:i:2:p:173-181
    DOI: 10.1002/nav.3800310202
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    Cited by:

    1. Srinivas R. Chakravarthy & Atul Agarwal, 2003. "Analysis of a machine repair problem with an unreliable server and phase type repairs and services," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(5), pages 462-480, August.

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