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Allocating Weapons to Target Complexes by Means of Nonlinear Programming

Author

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  • Richard H. Day

    (University of Wisconsin, Madison, Wisconsin)

Abstract

The paper presents a three-stage method of assigning weapons to targets and illustrates its application with a small sample problem. The method decomposes the general allocation problem into a set of targeting problems in the small and a targeting problem in the large. The former are solved by a sequential optimizing method that provides information for solving the latter by nonlinear programming. The discussion is not advanced and illustrates a basic feature of applied operations research: the combination of existing operational methods to achieve approximative solutions to complicated problems. The study may have some added interest because of its relation to problems of decentralized planning.

Suggested Citation

  • Richard H. Day, 1966. "Allocating Weapons to Target Complexes by Means of Nonlinear Programming," Operations Research, INFORMS, vol. 14(6), pages 992-1013, December.
    • Handle: RePEc:inm:oropre:v:14:y:1966:i:6:p:992-1013
    DOI: 10.1287/opre.14.6.992
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    Cited by:

    1. Alexander G. Kline & Darryl K. Ahner & Brian J. Lunday, 2019. "Real-time heuristic algorithms for the static weapon target assignment problem," Journal of Heuristics, Springer, vol. 25(3), pages 377-397, June.
    2. Ojeong Kwon & Donghan Kang & Kyungsik Lee & Sungsoo Park, 1999. "Lagrangian relaxation approach to the targeting problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(6), pages 640-653, September.
    3. Chan Y. Han & Brian J. Lunday & Matthew J. Robbins, 2016. "A Game Theoretic Model for the Optimal Location of Integrated Air Defense System Missile Batteries," INFORMS Journal on Computing, INFORMS, vol. 28(3), pages 405-416, August.
    4. Alexandre Colaers Andersen & Konstantin Pavlikov & Túlio A. M. Toffolo, 2022. "Weapon-target assignment problem: exact and approximate solution algorithms," Annals of Operations Research, Springer, vol. 312(2), pages 581-606, May.
    5. Davis, Michael T. & Robbins, Matthew J. & Lunday, Brian J., 2017. "Approximate dynamic programming for missile defense interceptor fire control," European Journal of Operational Research, Elsevier, vol. 259(3), pages 873-886.
    6. Lu, Yiping & Chen, Danny Z., 2021. "A new exact algorithm for the Weapon-Target Assignment problem," Omega, Elsevier, vol. 98(C).
    7. Juan Li & Bin Xin & Panos M. Pardalos & Jie Chen, 2021. "Solving bi-objective uncertain stochastic resource allocation problems by the CVaR-based risk measure and decomposition-based multi-objective evolutionary algorithms," Annals of Operations Research, Springer, vol. 296(1), pages 639-666, January.
    8. Anissa Frini & Adel Guitouni & Abderrezak Benaskeur, 2017. "Solving Dynamic Multi-Criteria Resource-Target Allocation Problem Under Uncertainty: A Comparison of Decomposition and Myopic Approaches," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(06), pages 1465-1496, November.
    9. Ravindra K. Ahuja & Arvind Kumar & Krishna C. Jha & James B. Orlin, 2007. "Exact and Heuristic Algorithms for the Weapon-Target Assignment Problem," Operations Research, INFORMS, vol. 55(6), pages 1136-1146, December.

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