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Optimal resource partitioning in conflicts based on Lanchester (n, 1) attrition model

Sheeba, PS and Ghose, Debasish (2006) Optimal resource partitioning in conflicts based on Lanchester (n, 1) attrition model. In: American Control Conference 2006, JUN 14-16, 2006, Minneapolis, MN,, pp. 638-643.

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Abstract

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 from n different fronts. The problem of optimally partitioning the defending forces against the attacking forces is addressed. The Lanchester square law model is used to develop the dynamical equations governing the variation in force strength. Two different allocation schemes-Time-ZeroAllocation (TZA) and Continuous Constant Allocation (CCA) are considered and the optimal solutions for both are obtained analytically. These results generalize other results available in the literature. Numerical examples are given to support the analytical results.

Item Type: Conference Paper
Additional Information: Copyright of this article belongs to Institute of Electric Electronics Engineering.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 10 Aug 2010 04:34
Last Modified: 19 Sep 2010 06:12
URI: http://eprints.iisc.ernet.in/id/eprint/30691

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