Optimal Resource Partitioning in a Military Conflict based on Lanchester Attrition Models

P.S. Sheeba, D. Ghose
Proceedings of the 44th IEEE Conference on Decision and Control  
This paper develops a model for military conflicts where the defending forces have to determine an optimal partitioning of available resources to counter attacks from an adversary in two different fronts. The Lanchester attrition model is used to develop the dynamical equations governing the variation in force strength. Three different allocation schemes -Time-Zero-Allocation (TZA), Allocate-Assess-Reallocate (AAR), and Continuous Constant Allocation (CCA) -are considered and the optimal
more » ... ns are obtained in each case. Numerical examples are given to support the analytical results.
doi:10.1109/cdc.2005.1583098 fatcat:oaja3d5avzhvlpvfayucmibssm