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Scheduling a maintenance activity on parallel identical machines

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  • Asaf Levin
  • Gur Mosheiov
  • Assaf Sarig

Abstract

We study a problem of scheduling a maintenance activity on parallel identical machines, under the assumption that all the machines must be maintained simultaneously. One example for this setting is a situation where the entire system must be stopped for maintenance because of a required electricity shut‐down. The objective is minimum flow‐time. The problem is shown to be NP‐hard, and moreover impossible to approximate unless P = NP. We introduce a pseudo‐polynomial dynamic programming algorithm, and show how to convert it into a bicriteria FPTAS for this problem. We also present an efficient heuristic and a lower bound. Our numerical tests indicate that the heuristic provides in most cases very close‐to‐optimal schedules. © 2008 Wiley Periodicals, Inc. Naval Research Logistics 2009

Suggested Citation

  • Asaf Levin & Gur Mosheiov & Assaf Sarig, 2009. "Scheduling a maintenance activity on parallel identical machines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(1), pages 33-41, February.
    • Handle: RePEc:wly:navres:v:56:y:2009:i:1:p:33-41
    DOI: 10.1002/nav.20324
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    References listed on IDEAS

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    1. Lee, Chung-Yee & Lin, Chen-Sin, 2001. "Single-machine scheduling with maintenance and repair rate-modifying activities," European Journal of Operational Research, Elsevier, vol. 135(3), pages 493-513, December.
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    5. Lee, C. -Y. & Leon, V. J., 2001. "Machine scheduling with a rate-modifying activity," European Journal of Operational Research, Elsevier, vol. 128(1), pages 119-128, January.
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