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Optimal Defensive Missile Allocation: A Discrete Min-Max Problem

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  • Richard M. Soland

    (The University of Texas, Austin, Texas)

Abstract

This paper considers the problem of choosing the discrete antiballistic missile (ABM) defense levels of reliable subtractive area and point defenses protecting a set of targets so as to minimize the total damage done to the targets by on optimal attack by a given number of reliable offensive missiles of one type. It assumes that the offensive side knows the ABM defense levels chosen and that the defensive side knows the number of missiles possessed by the offensive side. The cost of the defensive allocation chosen must not exceed a stated budget level; the cost function need not be continuous or separable. The 0-1 implicit enumeration scheme of Lawler and Bell is combined with a branch-and-bound procedure to effect a solution.

Suggested Citation

  • Richard M. Soland, 1973. "Optimal Defensive Missile Allocation: A Discrete Min-Max Problem," Operations Research, INFORMS, vol. 21(2), pages 590-596, April.
    • Handle: RePEc:inm:oropre:v:21:y:1973:i:2:p:590-596
    DOI: 10.1287/opre.21.2.590
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    Cited by:

    1. 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.
    2. Gregory Levitin & Kjell Hausken, 2012. "Resource Distribution in Multiple Attacks with Imperfect Detection of the Attack Outcome," Risk Analysis, John Wiley & Sons, vol. 32(2), pages 304-318, February.
    3. Gregory Levitin & Kjell Hausken, 2010. "Resource Distribution in Multiple Attacks Against a Single Target," Risk Analysis, John Wiley & Sons, vol. 30(8), pages 1231-1239, August.

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