A Lanchester‐type model of combat with stochastic rates
作者:
Karmeshu,
N. K. Jaiswal,
期刊:
Naval Research Logistics Quarterly
(WILEY Available online 1986)
卷期:
Volume 33,
issue 1
页码: 101-110
ISSN:0028-1441
年代: 1986
DOI:10.1002/nav.3800330109
出版商: Wiley Subscription Services, Inc., A Wiley Company
数据来源: WILEY
摘要:
AbstractThe 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 t
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