Comparison of Optimal Target Selection Rules Based on Deterministic and Stochastic Lanchester Models of Heterogeneous Combat.
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The simplest target selection problem in heterogeneous combat is the two-on-one battle. For a prescribed duration battle, deterministic and stochastic models using Lanchesters square law attrition mechanism are developed. Solutions of these models, obtained by the application of optimal control theory, are given, including the complete solution of the deterministic model and the optimal target selection rule and expected pay-off for special cases of the stochastic model. A numerical approximation for the general case of the stochastic model is obtained. Comparison of numerical results shows that the target selection rule specified by the deterministic models differs from the one given by the stochastic model. Author
- Operations Research
- Military Operations, Strategy and Tactics