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Optimal strategies for problems of simultaneous attack against an area defense without impact‐point prediction

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  • Norman T. O'Meara
  • Richard M. Soland

Abstract

An area to be defended consists of separated point targets. These targets are subject to an attack in which the offensive weapons are assumed to arrive simultaneously. The defense has area defenders, each of which is capable of intercepting any attacker. The defense has no impact‐point prediction; that is, it has no knowledge of any attacker's destination prior to allocation of area interceptors. For a given attack, the defense wishes to allocate its interceptors to maximize the total expected survival value of the targets. For a given attack size, the offense seeks a strategy to minimize total expected surviving value against best defense. We determine an optimal defensive strategy directly and develop an algorithm to determine an optimal attack and the optimal value of the min‐max problem. A dynamic programming technique is used to obtain integer solutions, and illustrative computational results are provided.

Suggested Citation

  • Norman T. O'Meara & Richard M. Soland, 1991. "Optimal strategies for problems of simultaneous attack against an area defense without impact‐point prediction," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(3), pages 289-302, June.
    • Handle: RePEc:wly:navres:v:38:y:1991:i:3:p:289-302
    DOI: 10.1002/1520-6750(199106)38:33.0.CO;2-Q
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    References listed on IDEAS

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    1. Jerome Bracken & James E. Falk & A. J. Allen Tai, 1987. "Robustness of preallocated preferential defense with assumed attack size and perfect attacking and defending weapons," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(1), pages 23-41, February.
    2. Stefan A. Burr & James E. Falk & Alan F. Karr, 1985. "Integer Prim-Read Solutions to a Class of Target Defense Problems," Operations Research, INFORMS, vol. 33(4), pages 726-745, August.
    3. Richard M. Soland, 1987. "Minimum‐cost mixtures of area and point defenses assuming simultaneous attack," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(3), pages 337-363, June.
    4. Richard M. Soland, 1987. "Optimal Terminal Defense Tactics When Several Sequential Engagements are Possible," Operations Research, INFORMS, vol. 35(4), pages 537-542, August.
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    Cited by:

    1. Dhaifalla K. Al‐Mutairi & Richard M. Soland, 2005. "Attrition through a partially coordinated area defense," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(1), pages 74-81, February.
    2. Norman T. O'Meara & Richard M. Soland, 1992. "Optimal strategies for problems of simultaneous attack against an area defense with impact‐point prediction," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(1), pages 1-28, February.

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