Title
Lanchester model for three-way combat.
Abstract
•We extend the classic Lanchester model to a three-sided conflict.•The force-allocation between opponents can determine the winner of the battle.•The initial force sizes and attrition rates are crucial for the outcome.•By eigenvalue analysis we identify regions in the state space with differing winners.•In some cases an opponent cannot win, but determine the winner by its force allocation.
Year
DOI
Venue
2018
10.1016/j.ejor.2017.07.026
European Journal of Operational Research
Keywords
Field
DocType
System dynamics,Lanchester model,Square Law,Three combatants
Differential equation,Operations research,Combatant,System dynamics,Adversary,Sequential game,State space,Phase portrait,Mathematics,Operations management
Journal
Volume
Issue
ISSN
264
1
0377-2217
Citations 
PageRank 
References 
0
0.34
6
Authors
5
Name
Order
Citations
PageRank
Moshe Kress119228.13
Jonathan P. Caulkins214023.90
Gustav Feichtinger314338.93
Dieter Grass4419.71
Andrea Seidl5216.18