A Lanchester-type model with logistics considerations

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Author
Chase, Malcolm Withington.
Date
1973-09Advisor
Taylor, James G.
Second Reader
Bedow, Robert J.
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Show full item recordAbstract
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.
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