A “Universal” Attrition Model

Published Online:https://doi.org/10.1287/opre.14.4.624

Starting with a basic model of volley fire against a group of homogeneous passive targets, a series of discrete approximations to the expected number of surviving targets is proposed. Some of these yield quite good approximations over a reasonably wide range of parameter values. Continuous analogues of these approximations are described, and it is shown how various Lanchester-type equations arise in a natural way from these continuous analogues.

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