| || Modelling the Heterogeneous Markov Attrition Process
Author : Menq, Jan-Yen;Chang, Sheng-Lin
Source : Defence Science Journal ; Vol:43(1) ; 1993 ; pp 79-86
Subject : 519.8 Operations Research;51 Mathematics
Keywords : Heterogeneous markov attrition process;Iterative inversion;Combat;Combat time distribution
Abstract : A model for heterogeneous dynamics combat as a continuos-time Markov process has been studied, and on account of the special form of its infinitesimal generator, recursive algorithms are derived to compute the important characteristics of the combat, such as the combat time distribution, expected value and variance, and the probability of winning and expected survivors. Numerical results are also presented. This approach can also be used to consider initial contact forces of both sides as random variables.