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On the relationship between the force ratio and the instantaneous casualty‐exchange ratio for some lanchester‐type models of warfare

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  • James G. Taylor

Abstract

A “local” condition of winning (in the sense that the force ratio is changing to the advantage of one of the combatants) is shown to apply to all deterministic Lanchester‐type models with two force‐level variables. This condition involves the comparison of only the force ratio and the instantaneous force‐change ratio. For no replacements and withdrawals, a combatant is winning “instantaneously” when the force ratio exceeds the differential casualty‐exchange ratio. General outcome‐prediction relations are developed from this “local” condition and applied to a nonlinear model for Helmbold‐type combat between two homogeneous forces with superimposed effects of supporting fires not subject to attrition. Conditions under which the effects of the supporting fires “cancel out” are given.

Suggested Citation

  • James G. Taylor, 1976. "On the relationship between the force ratio and the instantaneous casualty‐exchange ratio for some lanchester‐type models of warfare," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(2), pages 345-352, June.
    • Handle: RePEc:wly:navlog:v:23:y:1976:i:2:p:345-352
    DOI: 10.1002/nav.3800230216
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