Battle-Outcome Prediction for an Extended System of Lanchester-Type Differential Equations
Loading...
Authors
Taylor, James G.
Subjects
Advisors
Date of Issue
1984
Date
Publisher
Language
Abstract
Battle-outcome-prediction conditions are given for an extended system of
Lanchester-type differential equations for two different types of battle-termination
conditions: (a) fixed-force-level-breakpoint battles, and (b) tixed-force-ratio breakpoint
battles. Necessary and sufficient conditions for predicting battle
outcome are given in the former case for a fight to the finish, while sufficient
conditions are given in the latter case. The former results are equivalent to those for
the problem of classical analysis of determining (explicitly as a function of the
initial conditions) the occurrence of a zero point for the solution to this extended
system, although such results as given here have not appeared previously for
nonoscillatory (in the strict sense) solutions.
Type
Article
Description
Series/Report No
Department
Operations Research
Organization
Identifiers
NPS Report Number
Sponsors
This research was partially supported by the Office of Naval Research as part of the Foundation Research Program at the Naval Postgraduate School.
Funder
Format
Citation
Journal of Mathematical Analysis and Applications, Vol. 102, pp. 371-379, 1984
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.