Stochastic Attrition Models of Lanchester Type

Canonical Methods in the Solution of Variable-Coefficient Lanchester-Type Equations of Modern Warfare

This paper develops a mathematical theory for solving determin-istic, Lanchester-type, 'square-law' attrition equations for combat between two homogeneous forces with temporal variations in fire effec-tivenesses (as expressed b y the Lanchester attrition-rate coefficients). It gives a general form for expressing the solution of such variable-coefficient combat attrition equations in terms of La...

Explicit Analytical Expression for a Lanchester Attrition-Rate Coefficient for Bonder and Farrell’s m-Period Target-Engagement Policy

Verification and Validation of the Fractal Attrition Equation

Under the auspices of The Technical Cooperation Program (TTCP) Joint Systems & Analysis (JSA) Technical Panel 3 (Joint Concepts and Analysis) research program, researchers in New Zealand and the United Kingdom have been collaborating on the development of a new combat attrition equation. This report examines this new approach, its relationships to existing systems of Lanchester equations and it...

Attrition Modeling in the Presence of Decoys: An Operations-other-than-War Motivation

Under various operational conditions, in particular in operations other than war (OOTW) or peacekeeping, an intervening force, here Blue, must occasionally engage in attrition warfare with an opposing force, here Red, that is intermingled with noncombatants. Desirably, Red armed actives are targeted, and not the unarmed noncombatants. This article describes some simple Lanchesterian attrition m...

Lanchester model for three-way combat

Lanchester (1916) modeled combat situations between two opponents, where mutual attrition occurs continuously in time, by a pair of simple ordinary (linear) differential equations. The aim of the present paper is to extend the model to a conflict consisting of three parties. In particular, Lanchester’s main result, i.e. his square law, is adapted to a triple fight. However, here a central facto...