Further Comparison of Stochastic and Deterministic Models for the Optimal Control of Lanchester-Type Attrition Processes.
Abstract
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1974
- Accession Number
- ADA001248
Entities
People
- William Pickens Hannah
Organizations
- Naval Postgraduate School