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Optimal weapons allocation against layered defenses

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  • D. Orlin

Abstract

We solve the problem of optimal allocation of weapons to targets in the presence of layered regional defenses. The general solution technique is an integer program transformable to a minimum‐cost network flow. This model assumes the defense has perfect weapons. Results of a small sample scenario are included. Additionally, a representative attrition algorithm is described and the two models combined to form a hybrid algorithm. The hybrid algorithm allows for less‐than‐perfect weapons while maintaining optimality.

Suggested Citation

  • D. Orlin, 1987. "Optimal weapons allocation against layered defenses," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(5), pages 605-617, October.
  • Handle: RePEc:wly:navres:v:34:y:1987:i:5:p:605-617
    DOI: 10.1002/1520-6750(198710)34:53.0.CO;2-L
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    Cited by:

    1. 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.
    2. Boaz I. Kaminer & Joseph Z. Ben‐Asher, 2010. "A methodology for estimating and optimizing effectiveness of Non‐Independent Layered Defense," Systems Engineering, John Wiley & Sons, vol. 13(2), pages 119-129, June.

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