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Optimal Terminal Defense Tactics When Several Sequential Engagements are Possible

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  • Richard M. Soland

    (George Washington University, Washington, D.C.)

Abstract

In this paper we treat a situation in which a terminal defense wishes to minimize the expected fraction of a target destroyed. Attacking reentry vehicles (RVs) arrive simultaneously, and therefore the defense knows the attack size. Several sequential engagements of the RVs by defensive interceptors are possible, and the defense has the capability to shoot-look-shoot between these engagements. Using techniques of stochastic dominance and stochastic dynamic programming, we determine optimal defensive tactics as functions of the numbers of RVs, interceptors, and engagements remaining; the various single-shot kill probabilities are parameters. We examine extensions of the basic model that determine both the expected number of interceptors remaining after the attack and the minimum number of interceptors needed to provide a desired level of protection of the target.

Suggested Citation

  • Richard M. Soland, 1987. "Optimal Terminal Defense Tactics When Several Sequential Engagements are Possible," Operations Research, INFORMS, vol. 35(4), pages 537-542, August.
    • Handle: RePEc:inm:oropre:v:35:y:1987:i:4:p:537-542
    DOI: 10.1287/opre.35.4.537
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    Citations

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    Cited by:

    1. Orhan Karasakal & Nur Evin Özdemirel & Levent Kandiller, 2011. "Anti‐ship missile defense for a naval task group," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(3), pages 304-321, April.
    2. 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.
    3. 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.
    4. Martijn van Ee, 2020. "On efficient algorithms for finding efficient salvo policies," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(2), pages 147-158, March.
    5. 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.
    6. Davis, Michael T. & Robbins, Matthew J. & Lunday, Brian J., 2017. "Approximate dynamic programming for missile defense interceptor fire control," European Journal of Operational Research, Elsevier, vol. 259(3), pages 873-886.
    7. 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.
    8. Michael J. Armstrong, 2014. "Modeling Short-Range Ballistic Missile Defense and Israel's Iron Dome System," Operations Research, INFORMS, vol. 62(5), pages 1028-1039, October.

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