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A Target Assignment Problem

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  • Alan S. Manne

Abstract

This paper is concerned with a target assignment model of a probabilistic and nonlinear nature, but nevertheless one which is closely related to the “personnel-assignment” problem. It is shown here that, despite the apparent nonlinearities, it is possible to devise a linear programming formulation that will ordinarily provide a close approximation to the original problem.
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Suggested Citation

  • Alan S. Manne, 1957. "A Target Assignment Problem," Cowles Foundation Discussion Papers 37, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:37
    Note: CFP 120.
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d00/d0037.pdf
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    References listed on IDEAS

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    1. George B. Dantzig, 1956. "Recent Advances in Linear Programming," Management Science, INFORMS, vol. 2(2), pages 131-144, January.
    2. Allen R. Ferguson & George B. Dantzig, 1956. "The Allocation of Aircraft to Routes--An Example of Linear Programming Under Uncertain Demand," Management Science, INFORMS, vol. 3(1), pages 45-73, October.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. 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.
    2. 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.
    3. Zhen Chen & Hongyuan Zheng & Xiangping (Bryce) Zhai & Kangliang Zhang & Hua Xia, 2022. "Correlation Filter of Multiple Candidates Match for Anti-Obscure Tracking in Unmanned Aerial Vehicle Scenario," Mathematics, MDPI, vol. 11(1), pages 1-14, December.
    4. Ahmet Silav & Orhan Karasakal & Esra Karasakal, 2019. "Bi‐objective missile rescheduling for a naval task group with dynamic disruptions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(7), pages 596-615, October.
    5. Hughes, Michael S. & Lunday, Brian J., 2022. "The Weapon Target Assignment Problem: Rational Inference of Adversary Target Utility Valuations from Observed Solutions," Omega, Elsevier, vol. 107(C).
    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. 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.
    9. 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.
    10. 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.
    11. Cha, Young-Ho & Kim, Yeong-Dae, 2010. "Fire scheduling for planned artillery attack operations under time-dependent destruction probabilities," Omega, Elsevier, vol. 38(5), pages 383-392, October.
    12. 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.
    13. Alexander G. Kline & Darryl K. Ahner & Brian J. Lunday, 2020. "A heuristic and metaheuristic approach to the static weapon target assignment problem," Journal of Global Optimization, Springer, vol. 78(4), pages 791-812, December.
    14. 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.

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