FOE, A MODEL REPRESENTING COMPANY ACTIONS

Abstract

A mathematical model representing close combat with conventional weapons at company level for use in hand-played war games depicting combat at higher echelons is presented. The most significant improvement introduced in the FOE model is the velocity factor, which represents the approach of the attacking force at a rate varying with intensity of battle. During the engagement the number of actual combatants in the forces involved build up from zero in proportion to the relative velocity with which the opposing forces are moving. Explicit treatment of each weapon type, together with the velocity factor, permits the introduction of fire from each weapon type only as it comes into range and also limits interchange of fire and resultant casualties to the areas within range at each time increment. The equation developed for FOE cannot be solved analytically but are solved by stepwise numerical iterations. For small increments of time the variables are assumed to be constant and the values for the T-1 interval are applied to the Tth interval to find a new set of values to be used in the next.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1960
Accession Number
AD0254156

Entities

People

  • Dorothy Kneeland Clark
  • Lewis E. Keefer
  • William W. Walton Jr.

Tags

DTIC Thesaurus Topics

  • Ammunition
  • Attrition
  • Combinatorial Analysis
  • Computational Science
  • Computer Simulations
  • Computers
  • Kill Probabilities
  • Mathematical Models
  • Models
  • Mortar Ammunition
  • Numerical Analysis
  • Operations Research
  • Rifles
  • Small Arms
  • War Games
  • Warfare
  • Weapons

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Game Theory.
  • Naval Mine Countermeasure Systems Development.