A Lanchester-type model with logistics considerations

Abstract

In this thesis a Lanchester-Type model of combat with logistics considerations is presented. The combat effectiveness of each force is related to its supply. Four basic groups of force supplies are considered: food (all goods used whether or not combat is in progress); ammo (goods used only in combat activity); fuel (goods required for mobility); and capital goods, which are used to increase or replace the capacity of the logistics pipeline. Lanchester attritionrate coefficients are considered to be functions of the level of food and ammo supplies. In the model, each opponent has a main battle force, a reserve force, a logistics pipeline defense force, and a force which may attack the other side's logistic pipeline. Differential equations for the combat dynamics are derived, and some possible objectives and battle termination conditions are suggested. An example of use of the model is given, and some analytical techniques for studying the model are discussed. Related topics for further research are suggested.