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Optimal sequential replenishment of ships during combat

Author

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  • S. E. Pilnick
  • K. D. Glazebrook
  • D. P. Gaver

Abstract

A carrier battle group is operating in an area where it is subject to attack by enemy aircraft. It is anticipated that air raids will occur in large waves. The uncertain time between raids is available for the replenishment of supplies. We consider the problem of how best to schedule ammunition replenishment during this period. The theory of Gittins indices provides the technical background to the development of a range of models which yield a hierarchy of index‐based heuristics for replenishment. One such heuristic is assessed computationally in a more realistic scenario than is explicitly allowed for by the models.

Suggested Citation

  • S. E. Pilnick & K. D. Glazebrook & D. P. Gaver, 1991. "Optimal sequential replenishment of ships during combat," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(5), pages 637-668, October.
    • Handle: RePEc:wly:navres:v:38:y:1991:i:5:p:637-668
    DOI: 10.1002/1520-6750(199110)38:53.0.CO;2-B
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    References listed on IDEAS

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    1. Kevin D. Glazebrook, 1987. "Evaluating the effects of machine breakdowns in stochastic scheduling problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(3), pages 319-335, June.
    2. K. D. Glazebrook, 1987. "Sensitivity Analysis for Stochastic Scheduling Problems," Mathematics of Operations Research, INFORMS, vol. 12(2), pages 205-223, May.
    3. K. D. Glazebrook, 1984. "Scheduling stochastic jobs on a single machine subject to breakdowns," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 31(2), pages 251-264, June.
    4. K. D. Glazebrook & N. A. Fay, 1990. "Evaluating Strategies for Markov Decision Processes in Parallel," Mathematics of Operations Research, INFORMS, vol. 15(1), pages 17-32, February.
    5. K. D. Glazebrook & J. C. Gittins, 1981. "On Single-Machine Scheduling with Precedence Relations and Linear or Discounted Costs," Operations Research, INFORMS, vol. 29(1), pages 161-173, February.
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    Cited by:

    1. Mofidi, Seyed Shahab & Pazour, Jennifer A. & Roy, Debjit, 2018. "Proactive vs. reactive order-fulfillment resource allocation for sea-based logistics," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 114(C), pages 66-84.
    2. Timothy C. Barkdoll & Donald P. Gaver & Kevin D. Glazebrook & Patricia A. Jacobs & Sergio Posadas, 2002. "Suppression of enemy air defenses (SEAD) as an information duel," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(8), pages 723-742, December.
    3. K. D. Glazebrook & C. Kirkbride & H. M. Mitchell & D. P. Gaver & P. A. Jacobs, 2007. "Index Policies for Shooting Problems," Operations Research, INFORMS, vol. 55(4), pages 769-781, August.

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