Accession Number:

AD0730485

Title:

Development of Optimal Allocation Strategies in Heterogeneous Lanchester-Type Processes.

Descriptive Note:

Technical rept.,

Corporate Author:

MICHIGAN UNIV ANN ARBOR SYSTEMS RESEARCH LAB

Personal Author(s):

Report Date:

1971-06-01

Pagination or Media Count:

180.0

Abstract:

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

Subject Categories:

  • Administration and Management
  • Operations Research
  • Military Operations, Strategy and Tactics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE