| || 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.
| || Modelling a Markov Attrition Process
Author : Chang, Sheng-Lin;Menq, Jau-Yeu
Source : Defence Science Journal ; Vol:39(3) ; 1989 ; pp 211-220
Subject : 519.2 Statistics
Keywords : Stochastic attrition model;Recursive algorithm
Abstract : This study proposes another computational approach to solve a stochastic attrition model. The initial contact forces for both sides can be treated as a random variable. The approach is manipulated in a matrix form, and on account of the special form of its infinitesimal generator, some recursive algorithm are derived to compute the intended results. Numerical results to illustrate the differences between the proposed model and the stochastic model with known initial contact forces are presented.