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Robustness of preallocated preferential defense with assumed attack size and perfect attacking and defending weapons

Author

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  • Jerome Bracken
  • James E. Falk
  • A. J. Allen Tai

Abstract

The problem is to protect a set of t targets by n perfect interceptors against an attack by m perfect weapons. If the defender solves for an optimal preallocated preferential defense and associated game value assuming m1 attackers, and the attacker knows the assumption of the defender and utilizes m2 attackers, he may be able to achieve significantly more damage than had the defender assumed that there would be m2 attackers. The article treats the robustness of preallocated preferential defense to assumptions about the size of the attack and presents results of an alternative approach.

Suggested Citation

  • 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.
  • Handle: RePEc:wly:navres:v:34:y:1987:i:1:p:23-41
    DOI: 10.1002/1520-6750(198702)34:13.0.CO;2-F
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    Cited by:

    1. Bao U. Nguyen & Peter A. Smith & Du Nguyen, 1997. "An engagement model to optimize defense against a multiple attack assuming perfect kill assessment," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(7), pages 687-697, October.
    2. 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.
    3. 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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