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Integer Prim-Read Solutions to a Class of Target Defense Problems

Author

Listed:
  • Stefan A. Burr

    (City University of New York, New York, New York)

  • James E. Falk

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

  • Alan F. Karr

    (The Johns Hopkins University, Baltimore, Maryland)

Abstract

We study the choice of a deployment and firing doctrine for defending separated point targets of (potentially) different values against an attack by an unknown number of sequentially arriving missiles. We minimize the total number of defenders, subject to an upper bound on the maximum expected value damage per attacking weapon. We show that the Greedy Algorithm produces an optimal integral solution to this problem.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:oropre:v:33:y:1985:i:4:p:726-745
    DOI: 10.1287/opre.33.4.726
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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. 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.
    3. 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.
    4. 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.
    5. Ahmet Silav & Orhan Karasakal & Esra Karasakal, 2019. "Bi‐objective missile rescheduling for a naval task group with dynamic disruptions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(7), pages 596-615, October.
    6. 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.
    7. 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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