Development of Optimal Allocation Strategies in Heterogeneous Lanchester-Type Processes.
MICHIGAN UNIV ANN ARBOR SYSTEMS RESEARCH LAB
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The purpose of the document has been the development of optimal allocation strategies in heterogeneous Lanchester-type processes and the determination of time solutions to the Lanchester equations when optimal allocations are employed. The development begins with the introduction of a differential model of heterogeneous combat. A closed-form solution to the heterogeneous differential model was then developed from the Jordan normal form by introducing the concept of assignment chains and cycles. The game-of-degree formulation was discarded in favor of a simpler game-of-kind formulation in hopes that the simplified structure would facilitate solutions of games of higher dimensions. The two-on-one game-of-kind was then solved and found to be significantly less complex than its corresponding game-of-degree version. Author
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