IDEAS home Printed from https://ideas.repec.org/a/wly/navlog/v33y1986i1p101-110.html
   My bibliography  Save this article

A Lanchester‐type model of combat with stochastic rates

Author

Listed:
  • Karmeshu
  • N. K. Jaiswal

Abstract

The effects of environmental stochasticity in a Lanchester‐type model of combat are investigated. The methodology is based on a study of stochastic differential equations with random parameters characterized by dichotomous Markov processes. Exact expressions for the Laplace transforms of the time evolution of the first‐ and second‐order moments of the system are obtained. A special case when the fluctuations in the parameters occur with great rapidity in comparison with the natural time scale of the system is also analyzed. The stochastic stability in the mean‐square sense is discussed by using the Routh–Hurwitz criterion and it is found that the stochastic perturbations tend to destabilize the system.

Suggested Citation

  • Karmeshu & N. K. Jaiswal, 1986. "A Lanchester‐type model of combat with stochastic rates," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 33(1), pages 101-110, February.
    • Handle: RePEc:wly:navlog:v:33:y:1986:i:1:p:101-110
    DOI: 10.1002/nav.3800330109
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.3800330109
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.3800330109?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
    ---><---

    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:navlog:v:33:y:1986:i:1:p:101-110. 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.

    We have no bibliographic references for this item. You can help adding them by using 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)1931-9193 .

    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.