Discrete combat models: investigating the solutions to discrete forms of Lanchester's combat models
Fox, William P.
MetadataShow full item record
Lanchester’s equations and their solutions, as continuous differential equations, have been studied for years. This article introduces a new approach with the use of the discrete form of Lanchester’s equations, using dynamical systems or difference equations. It begins with Lanchester’s square law and develops a generalized analytical solution for the discrete model that can be built by knowing only the kill rates and the initial force sizes of the combatants. It then forms the condition of parity (a draw) to develop a simple relation nship of these variables to determine who wins the engagement. This article illustrates these models and their solutions using historic combat examples. It also illustrates that current counter-insurgency combat models can be built and solved using various forms of difference equations.
The article of record as published may be found at http://dx.doi.org/10.4018/joris.2010101302
RightsThis 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.
Showing items related by title, author, creator and subject.
Application of differential games to problems of military conflict: Tactical allocation problems, Part II Taylor, James G. (Monterey, California. Naval Postgraduate School, 1972-11); NPS55TW72111AThe mathematical theory of optimal control/differential games is used to study the structure of optimal allocation policies for some tactical allocation problems with combat described by Lanchester-type equations of warfare. ...
Smith, Douglas R. (Monterey, California. Naval Postgraduate School, 1980-02); NPS-52-80-004This paper investigates the conditions under which a discrete optimization problem can be formulated as a dynamic program. Following the terminology of (Karp and Held 1967), a discrete optimization problem is formalized ...
Some Interoperability Issues for Computer-Generated Forces: The Theoretical Chasm between Entity-Level and Aggregated-Force Combat Simulations Taylor, James G.; Olwell, David H. (Monterey, California: Naval Postgraduate School., 2002-05);This paper presents two important interoperability issues for computer-generated forces. The first is fundamental and concerns the inconsistent representation of interfiring times of direct-fire weapons in ground combat in ...