Development of Optimal Allocation Strategies in Heterogeneous Lanchester-Type Processes.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1971
- Accession Number
- AD0730485
Entities
People
- Stanley Ronald Sternberg
Organizations
- University of Michigan