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Minimum‐cost mixtures of area and point defenses assuming simultaneous attack

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  • Richard M. Soland

Abstract

It is desired to select numbers of area and point interceptors that minimize the cost of such defensive missiles under the condition that the maximum total expected damage produced by an unknown number of attacking missiles A be bounded above by a given function of A. Area coverages may overlap. The attacker is assumed to know the numbers of area and point interceptors and to launch a simultaneous attack (of arbitrary size A) against all targets, which is optimal against the given defenses. The defender is assumed to observe the attack and then allocate his area and point interceptors against attacking missiles so as to minimize the total expected damage. Upper and lower bounds on the minimal cost are obtained by solving integer programming problems.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:34:y:1987:i:3:p:337-363
    DOI: 10.1002/1520-6750(198706)34:33.0.CO;2-Z
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    References listed on IDEAS

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    1. 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.
    2. Richard M. Soland, 1973. "Optimal Defensive Missile Allocation: A Discrete Min-Max Problem," Operations Research, INFORMS, vol. 21(2), pages 590-596, April.
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    Cited by:

    1. 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.
    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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