Further Comparison of Stochastic and Deterministic Models for the Optimal Control of Lanchester-Type Attrition Processes.
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The optimal fire distribution policy obtained using a stochastic combat attrition model is compared with that for a deterministic one. The same optimal control problem for a homogeneous force in combat against a heterogeneous force of two homogeneous types is considered using two different models for the attrition mechanism in a fight-to-the-finish the Lanchester-type differential equation formulation and its analagous stochastic version of a continuous parameter Markov chain with stationary transition probabilities. Considering dynamic programming methodology, a computer program was developed to numerically determine the optimal fire distribution policy closed-loop or feedback for the stochastic attrition process. Modified author abstract
- Military Operations, Strategy and Tactics