Stochastic analysis of combat models under different termination decision rules

In this paper, combat between two opposing forces under different termination decision rules has been modelled as a continuous-time discrete-state space Markov process. Characteristics such as the distribution of combat duration and its mean and variance, the probability of win of either side, the expected number of survivors at combat termination, the joint probability distribution of the two forces and the ratio of expected losses have been evaluated. Numerical results are presented for stochastic Lanchester equations of modern warfare, area warfare and warfare with smart weapons.