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Optimal strategies for problems of simultaneous attack against an area defense with 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'. Furthermore, the defense has impact‐point prediction, i.e., it has knowledge of each attacker's intended target prior to allocation of the area interceptors. For a given attack, the defense wishes to allocate its interceptors against attackers so as to maximize the expected total survival value of the targets. In its first move, the offense seeks an attack allocation which will minimize expected total surviving value against best defense. We develop an algorithm to determine optimal attack and defense strategies and the optimal value of this sequential min‐max problem. Branch‐and‐bound techniques are used to obtain integer solutions, and illustrative computational results are provided.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:39:y:1992:i:1:p:1-28
    DOI: 10.1002/1520-6750(199202)39:13.0.CO;2-#
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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. Jerome Bracken & Peter S. Brooks & James E. Falk, 1987. "Robust preallocated preferential defense," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(1), pages 1-22, February.
    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.
    5. 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.
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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. 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.

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