IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v39y1992i1p1-28.html
   My bibliography  Save this article

Optimal strategies for problems of simultaneous attack against an area defense with impact‐point prediction

Author

Listed:
  • Norman T. O'Meara
  • Richard M. Soland

Abstract

An area to be defended consists of separated point targets. These targets are subject to an attack in which the offensive weapons are assumed to arrive simultaneously. The defense has area defenders, each of which is capable of intercepting any attacker'. Furthermore, the defense has impact‐point prediction, i.e., it has knowledge of each attacker's intended target prior to allocation of the area interceptors. For a given attack, the defense wishes to allocate its interceptors against attackers so as to maximize the expected total survival value of the targets. In its first move, the offense seeks an attack allocation which will minimize expected total surviving value against best defense. We develop an algorithm to determine optimal attack and defense strategies and the optimal value of this sequential min‐max problem. Branch‐and‐bound techniques are used to obtain integer solutions, and illustrative computational results are provided.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:39:y:1992:i:1:p:1-28
    DOI: 10.1002/1520-6750(199202)39:13.0.CO;2-#
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/1520-6750(199202)39:13.0.CO;2-#
    Download Restriction: no
    File URL: https://libkey.io/10.1002/1520-6750(199202)39:13.0.CO;2-#?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Richard M. Soland, 1987. "Optimal Terminal Defense Tactics When Several Sequential Engagements are Possible," Operations Research, INFORMS, vol. 35(4), pages 537-542, August.
    3. 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.
    4. 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.
    5. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ojeong Kwon & Donghan Kang & Kyungsik Lee & Sungsoo Park, 1999. "Lagrangian relaxation approach to the targeting problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(6), pages 640-653, September.
    2. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    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. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:navres:v:39:y:1992:i:1:p:1-28. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.