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Robust preallocated preferential defense

Author

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  • Jerome Bracken
  • Peter S. Brooks
  • James E. Falk

Abstract

The problem is to protect a set of T identical targets that may come under attack by A identical weapons. The targets are to be defended by D identical interceptors, which must be preallocated to defend selected targets. The attacker is aware of the number of interceptors, but is ignorant of their allocation. The size of the attack is chosen by the attacker from within a specified range. The robust strategies developed in this article do not require the defender to assume an attack size. Rather, the defender chooses a strategy which is good over a wide range of attack sizes, though not necessarily best for any particular attack size. The attacker, knowing that the defender is adopting a robust strategy, chooses the optimal attack strategy for the number of weapons he chooses to expend. The expected number of survivors is a function of the robust defense strategy and optimal attack strategy against this robust defense.

Suggested Citation

  • 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.
  • Handle: RePEc:wly:navres:v:34:y:1987:i:1:p:1-22
    DOI: 10.1002/1520-6750(198702)34:13.0.CO;2-2
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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. Jerome Bracken & Peter S. Brooks, 1985. "Attack and defense of ICBMs deceptively based in a number of identical areas," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 32(2), pages 193-207, May.
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    Cited by:

    1. 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.
    2. Gerald Brown & Matthew Carlyle & Douglas Diehl & Jeffrey Kline & Kevin Wood, 2005. "A Two-Sided Optimization for Theater Ballistic Missile Defense," Operations Research, INFORMS, vol. 53(5), pages 745-763, October.

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