Numerical determination of the parity-condition parameter for Lanchester-type equations of modern warfare

Resource Information

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Label

Numerical determination of the parity-condition parameter for Lanchester-type equations of modern warfare

Statement of responsibility

by james G. Taylor and Gerald G. Brown

Creator

• Taylor, James G

Contributor

• Brown, Gerald Gerard
• Naval Postgraduate School (U.S.)

Subject

• Tactics
• Games of strategy (Mathematics)
• Combat -- Mathematical models

Language

eng

Summary

This paper presents a simple numerical procedure for determining the parity-condition parameter for Lanchester-type combat between two homogeneous forces. The combat studied is modeled by Lanchester-type equations of modern warfare with time-dependent attrition-rate coefficients. Previous research has shown that the prediction of battle outcome (in particular, force annihilation) without having to spend the time and effort of computing force-level trajectories depends on a single parameter, the so-called parity-condition parameter, which only depends on the attrition-rate coefficients. Unfortunately, previous research did not show how to generally determine this parameter. We present general theoretical considerations for its numerical noniterative determination. This general theory is applied to an important class of attrition-rate coefficients (offset power attrition-rate coefficients). Our results allow one to study such variable-coefficient combat models almost as easily and thoroughly as Lanchester's classic constant-coefficient model. (Author)

Cataloging source

AD#

Government publication

federal national government publication

Illustrations

illustrations

Index

no index present

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography
• technical reports

Type of report

Technical report; 1977.