Accession Number : AD0758505

Title :   Comparison of Optimal Target Selection Rules Based on Deterministic and Stochastic Lanchester Models of Heterogeneous Combat.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : Powers,Robert Lawrence

Report Date : DEC 1972

Pagination or Media Count : 62

Abstract : The simplest target selection problem in heterogeneous combat is the two-on-one battle. For a prescribed duration battle, deterministic and stochastic models using Lanchester's square law attrition mechanism are developed. Solutions of these models, obtained by the application of optimal control theory, are given, including the complete solution of the deterministic model and the optimal target selection rule and expected pay-off for special cases of the stochastic model. A numerical approximation for the general case of the stochastic model is obtained. Comparison of numerical results shows that the target selection rule specified by the deterministic models differs from the one given by the stochastic model. (Author)

Descriptors :   (*TACTICAL WARFARE, MATHEMATICAL MODELS), LANCHESTER EQUATIONS, ATTRITION, STOCHASTIC PROCESSES, DIFFERENTIAL EQUATIONS, CONTROL SYSTEMS, COMPUTER PROGRAMMING, NUMERICAL ANALYSIS, THESES

Subject Categories : Operations Research
      Military Operations, Strategy and Tactics

Distribution Statement : APPROVED FOR PUBLIC RELEASE