Stochastic Lanchester-type combat models I

Abstract

There has been a lot of activity in recent years on the study of Lanchester-type combat models especially from a deterministic standpoint. We consider some of these models in a stochastic framework and indicate how the appropriate deterministic model can be recast stochastically. Techniques for obtaining the corresponding solutions to the resultant differential-difference equations are discussed. These are used to give the actual solutions for the stochastic model of the original Lanchester model. (Author)