Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-27T14:02:36.295Z Has data issue: false hasContentIssue false
  • English
  • Français

Lanchester square-law battles: Transient and terminal distributions

Published online by Cambridge University Press:  14 July 2016

Charles M. Goldie
Charles M. Goldie*
Affiliation:
University of Sussex
Get access Rights & Permissions [Opens in a new window]

Abstract

For a battle governed by the stochastic version of Lanchester's square law the transient distribution of state is found; also various terminal distributions. The terminal distributions arise also in certain related random walks.

Keywords

BATTLESCONFLICTSLANCHESTER SQUARE-LAWMARKOV CHAINSTRANSIENT DISTRIBUTIONTERMINAL DISTRIBUTION
Type
Short Communications
Information
Journal of Applied Probability , Volume 14 , Issue 3 , September 1977 , pp. 604 - 610
Copyright
Copyright © Applied Probability Trust 1977 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bowen, K. C. (1973) Mathematical battles. Bull. Inst. Math. Appl. 9, 310–315.Google Scholar
Brown, R. H. (1963) Theory of combat: the probability of winning. Opns. Res. 11, 418–425.CrossRefGoogle Scholar
Gye, R. and Lewis, T. (1974) Some new results relating to Lanchester's square law. Research Report, Dept. of Math. Statistics and Sub-Dept. of O. R., University of Hull.Google Scholar
Gye, R. and Lewis, T. (1976) Lanchester's equations: mathematics and the art of war. Math. Scientist 1, 107–119.Google Scholar