Lanchester Combat Models
نویسنده
چکیده
This has remarkable implications. Since this quantity never changes sign, only one of R and G can ever be zero. If the initial value of (3) is positive, for example, only G can equal zero, and so only red can win. So this quantity is key in determining who will win the battle, and a side’s fighting strength – we shall call rR and gG the red and green forces’ respective fighting strengths – varies as the units’ fighting effectiveness times the square of their numbers.
منابع مشابه
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...
متن کاملFractal Effects in Lanchester Models of Combat
Lanchester’s Equations are one of the most misunderstood and misused models of combat, yet they remain in widespread use as the combat mechanism behind many simulation systems. Previous work by the author examined the impact of a fractal distribution of forces on Lanchester’s theory of combat. The present work extends that examination to conceptual issues regarding interpretation of Lanchester'...
متن کاملLanchester 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...
متن کاملWhen do armed revolts succeed: lessons from Lanchester theory
Major revolts have recently erupted in parts of the Middle East with substantial international repercussions. Predicting, coping with and winning those revolts have become a grave problem for many regimes and for world powers. We propose a new model of such revolts that describes their evolution by building on the classic Lanchester theory of combat. The model accounts for the split in the popu...
متن کاملVerification 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...
متن کامل