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Optimal maintenance policies for serial, multi‐machine systems with non‐instantaneous repairs

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  • Lisa M. Maillart
  • Xiang Fang

Abstract

We study optimal age‐replacement policies for machines in series with non‐instantaneous repair times by formulating two nonlinear programs: one that minimizes total cost‐rate subject to a steady‐state throughput requirement and another that maximizes steady‐state throughput subject to a cost‐rate budget constraint. Under reasonable assumptions, the single‐machine cost‐optimal and throughput‐optimal solutions are unique and orderable, and the multi‐machine optimal solutions have appealing structure. Furthermore, we establish equivalence between the two formulations and provide an illustrative numerical example. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006

Suggested Citation

  • Lisa M. Maillart & Xiang Fang, 2006. "Optimal maintenance policies for serial, multi‐machine systems with non‐instantaneous repairs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(8), pages 804-813, December.
    • Handle: RePEc:wly:navres:v:53:y:2006:i:8:p:804-813
    DOI: 10.1002/nav.20171
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    References listed on IDEAS

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