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Optimal resource allocation in conflicts with the Lanchester linear law (2,1) model

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2 Author(s)
P. S. Sheeba ; Department of Aerospace Engineering, Indian Institute of Science, Bangalore 560 012, India ; D. Ghose

This paper presents a detailed analysis of 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 in an area fire situation. Lanchester linear law attrition model is used to develop the dynamical equations governing the variation in force strength. Here we address a static resource allocation problem namely, Time-Zero-Allocation (TZA) where the resource allocation is done only at the initial time. Numerical examples are given to support the analytical results.

Published in:

2008 American Control Conference

Date of Conference:

11-13 June 2008