IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v57y2006i1d10.1057_palgrave.jors.2601940.html
   My bibliography  Save this article

Semi-dynamic modelling of heterogeneous land combat

Author

Listed:
  • N E Ozdemirel

    (Middle East Technical University)

  • L Kandiller

    (Middle East Technical University)

Abstract

We propose a semi-dynamic approach to tactical level land combat modelling from the attacker's viewpoint. Our approach decomposes a battle between heterogeneous forces into stages and mini battles. For each mini battle in a stage, we use three models: a mathematical programming model for optimizing force allocations, a Lanchester simulation model for predicting whether or not the stage targets are reached under the allocations, and a model for weapon effectiveness update from one stage to the next. These models interact with each other within the framework of a decision support system to help the user with allocation decisions as well as prediction of force requirements to win the battle.

Suggested Citation

  • N E Ozdemirel & L Kandiller, 2006. "Semi-dynamic modelling of heterogeneous land combat," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(1), pages 38-51, January.
    • Handle: RePEc:pal:jorsoc:v:57:y:2006:i:1:d:10.1057_palgrave.jors.2601940
    DOI: 10.1057/palgrave.jors.2601940
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1057/palgrave.jors.2601940
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1057/palgrave.jors.2601940?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. K R McNaught, 1999. "The effects of splitting exponential stochastic Lanchester battles," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(3), pages 244-254, March.
    2. Protopopescu, V. & Santoro, R. T. & Dockery, J., 1989. "Combat modeling with partial differential equations," European Journal of Operational Research, Elsevier, vol. 38(2), pages 178-183, January.
    3. C. J. Ancker, 1995. "A proposed foundation for a theory of combat," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(3), pages 311-343, April.
    4. E Erdem & N E Ozdemirel, 2003. "An evolutionary approach for the target allocation problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(9), pages 958-969, September.
    5. Jaiswal, N. K. & Sangeeta, Y. & Gaur, S. C., 1997. "Stochastic modelling of combat with reinforcement," European Journal of Operational Research, Elsevier, vol. 100(1), pages 225-235, July.
    6. George E. Pugh & John P. Mayberry, 1973. "Theory of Measures of Effectiveness for General-Purpose Military Forces: Part I. A Zero-Sum Payoff Appropriate for Evaluating Combat Strategies," Operations Research, INFORMS, vol. 21(4), pages 867-885, August.
    7. N. K. Jaiswal & B. S. Nagabhushana, 1995. "Termination decision rules in combat attrition models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(3), pages 419-433, April.
    8. Jaiswal, N. K. & Sangeeta, Y. & Gaur, S. C., 1995. "Stochastic analysis of combat models under different termination decision rules," European Journal of Operational Research, Elsevier, vol. 83(3), pages 530-546, June.
    9. George E. Pugh, 1973. "Theory of Measures of Effectiveness for General-Purpose Military Forces: Part II. Lagrange Dynamic Programming in Time-Sequential Combat Games," Operations Research, INFORMS, vol. 21(4), pages 886-906, August.
    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. N J MacKay, 2009. "Lanchester models for mixed forces with semi-dynamical target allocation," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(10), pages 1421-1427, October.

    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. Ken R. McNaught, 2002. "Markovian models of three‐on‐one combat involving a hidden defender," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(7), pages 627-646, October.
    2. Pettit, L. I. & Wiper, M. P. & Young, K. D. S., 2003. "Bayesian inference for some Lanchester combat laws," European Journal of Operational Research, Elsevier, vol. 148(1), pages 152-165, July.
    3. Chen, Lei & Kou, Yingxin & Li, Zhanwu & Xu, An & Wu, Cheng, 2018. "Empirical research on complex networks modeling of combat SoS based on data from real war-game, Part I: Statistical characteristics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 754-773.
    4. González, Eduardo & Villena, Marcelo, 2011. "Spatial Lanchester models," European Journal of Operational Research, Elsevier, vol. 210(3), pages 706-715, May.
    5. N. K. Jaiswal & Meena Kumari & B. S. Nagabhushana, 1995. "Optimal force mix in heterogeneous combat," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(6), pages 873-887, September.
    6. Liu, Liwei & Yu, Jun & Guo, Zhi, 2006. "A kind of stochastic duel model for guerrilla war," European Journal of Operational Research, Elsevier, vol. 171(2), pages 430-438, June.
    7. Patrick S. Chen & Peter Chu, 2001. "Applying Lanchester's linear law to model the Ardennes campaign," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(8), pages 653-661, December.
    8. Anissa Frini & Adel Guitouni & Abderrezak Benaskeur, 2017. "Solving Dynamic Multi-Criteria Resource-Target Allocation Problem Under Uncertainty: A Comparison of Decomposition and Myopic Approaches," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(06), pages 1465-1496, November.
    9. Jaiswal, N. K. & Sangeeta, Y. & Gaur, S. C., 1997. "Stochastic modelling of combat with reinforcement," European Journal of Operational Research, Elsevier, vol. 100(1), pages 225-235, July.
    10. Thomas W. Lucas & John E. McGunnigle, 2003. "When is model complexity too much? Illustrating the benefits of simple models with Hughes' salvo equations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(3), pages 197-217, April.
    11. Michael J. Armstrong, 2004. "Effects of lethality in naval combat models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(1), pages 28-43, February.
    12. Gregory Levitin & Kjell Hausken, 2012. "Resource Distribution in Multiple Attacks with Imperfect Detection of the Attack Outcome," Risk Analysis, John Wiley & Sons, vol. 32(2), pages 304-318, February.
    13. Michael J. Armstrong, 2005. "A Stochastic Salvo Model for Naval Surface Combat," Operations Research, INFORMS, vol. 53(5), pages 830-841, October.
    14. John Richard Scales, 1995. "A modified lanchester linear process calibrated to historical data," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(3), pages 491-501, April.
    15. Hausken, Kjell & Moxnes, John F., 2002. "Stochastic conditional and unconditional warfare," European Journal of Operational Research, Elsevier, vol. 140(1), pages 61-87, July.
    16. Kangaspunta, Jussi & Liesiö, Juuso & Salo, Ahti, 2012. "Cost-efficiency analysis of weapon system portfolios," European Journal of Operational Research, Elsevier, vol. 223(1), pages 264-275.
    17. Gregory Levitin & Kjell Hausken, 2010. "Resource Distribution in Multiple Attacks Against a Single Target," Risk Analysis, John Wiley & Sons, vol. 30(8), pages 1231-1239, August.
    18. Cha, Young-Ho & Kim, Yeong-Dae, 2010. "Fire scheduling for planned artillery attack operations under time-dependent destruction probabilities," Omega, Elsevier, vol. 38(5), pages 383-392, October.
    19. N. K. Jaiswal & B. S. Nagabhushana, 1995. "Termination decision rules in combat attrition models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(3), pages 419-433, April.
    20. M.P. Wiper & L.I. Pettit & K.D.S. Young, 2000. "Bayesian inference for a Lanchester type combat model," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(7), pages 541-558, October.

    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:pal:jorsoc:v:57:y:2006:i:1:d:10.1057_palgrave.jors.2601940. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.palgrave-journals.com/ .

    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.