Optimal resource allocation and redistribution strategy in military conflicts with Lanchester square law attrition

P.S. Sheeba and Debasish Ghose

Naval Research Logistics (NRL), 2008, vol. 55, issue 6, 581-591

Abstract: We address the problem of optimal decision‐making in conflicts based on Lanchester square law attrition model where a defending force needs to be partitioned optimally, and allocated to two different attacking forces of differing strengths and capabilities. We consider a resource allocation scheme called the Time Zero Allocation with Redistribution (TZAR) strategy, where allocation is followed by redistribution of defending forces, on the occurrence of certain decisive events. Unlike previous work on Lanchester attrition model based tactical decision‐making, which propose time sequential tactics through an optimal control approach, the present article focuses on obtaining simpler resource allocation tactics based on a static optimization framework, and demonstrates that the results obtained are similar to those obtained by the more complex dynamic optimal control solution. Complete solution for this strategy is obtained for optimal partitioning of resources of the defending forces. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:wly:navres:v:55:y:2008:i:6:p:581-591

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