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Shoot-Look-Shoot: A Review and Extension

Author

Listed:
  • Kevin Glazebrook

    (School of Management, University of Edinburgh, Edinburgh EH8 9JY, United Kingdom)

  • Alan Washburn

    (Operations Research Department, Naval Postgraduate School, Monterey, California 93943)

Abstract

We consider the optimal use of information in shooting at a collection of targets, generally with the object of maximizing the average number (or value) of targets killed. The shooting problem is viewed as a Markov decision process, and the modal solution technique is stochastic dynamic programming. Information obtained about target status may or may not be perfect, and there may or may not be constraints on the number of shots. Previous results are reviewed, and some new results are obtained.

Suggested Citation

  • Kevin Glazebrook & Alan Washburn, 2004. "Shoot-Look-Shoot: A Review and Extension," Operations Research, INFORMS, vol. 52(3), pages 454-463, June.
    • Handle: RePEc:inm:oropre:v:52:y:2004:i:3:p:454-463
    DOI: 10.1287/opre.1030.0086
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    References listed on IDEAS

    as
    1. Gad Manor & Moshe Kress, 1997. "Optimality of the greedy shooting strategy in the presence of incomplete damage information," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(7), pages 613-622, October.
    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. Hugh Everett, 1963. "Generalized Lagrange Multiplier Method for Solving Problems of Optimum Allocation of Resources," Operations Research, INFORMS, vol. 11(3), pages 399-417, June.
    4. Sheldon M. Ross, 1971. "Quality Control under Markovian Deterioration," Management Science, INFORMS, vol. 17(9), pages 587-596, May.
    5. 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.
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    Cited by:

    1. Ahmet Silav & Esra Karasakal & Orhan Karasakal, 2022. "Bi-objective dynamic weapon-target assignment problem with stability measure," Annals of Operations Research, Springer, vol. 311(2), pages 1229-1247, April.
    2. 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.
    3. Lu, Yiping & Chen, Danny Z., 2021. "A new exact algorithm for the Weapon-Target Assignment problem," Omega, Elsevier, vol. 98(C).
    4. Gregory Levitin & Kjell Hausken, 2012. "Resource Distribution in Multiple Attacks with Imperfect Detection of the Attack Outcome," Risk Analysis, John Wiley & Sons, vol. 32(2), pages 304-318, February.
    5. Agnetis, Alessandro & Hermans, Ben & Leus, Roel & Rostami, Salim, 2022. "Time-critical testing and search problems," European Journal of Operational Research, Elsevier, vol. 296(2), pages 440-452.
    6. Gregory Levitin & Kjell Hausken, 2010. "Resource Distribution in Multiple Attacks Against a Single Target," Risk Analysis, John Wiley & Sons, vol. 30(8), pages 1231-1239, August.

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