Mathematical Modeling of Combat Engagements by Heterogeneous Forces

Abstract

The mathematical modeling of combat engagements by heterogeneous tactical forces is discussed and a new superiority parameter is introduced which represents a measure of the effectiveness of the opposing forces. This parameter is a function of both the quantitative and qualitative strengths of the opposing forces. It is defined as a product of the transpose of the left dominant eigenvector of the governing matrix of attrition coefficients and the force strength vector. This parameter is used to establish superiority criteria for combat engagements. The application of this new concept to heterogeneous forces is illustrated for the case of a one-on-two tactical engagement. This document introduces Lanchester equations for the heterogeneous forces engaged in a direct fire combat.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1988
Accession Number
ADA213274

Entities

People

  • J. S. Przemieniecki

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Attrition
  • Classification
  • Coefficients
  • Computational Science
  • Computer Programs
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • High Resolution
  • Lanchester Equations
  • Mathematical Models
  • Models
  • Security
  • Warfare

Readers

  • Computational Modeling and Simulation
  • Irregular Warfare and Special Operations Cyberspace Operations against Adversarial Threats.
  • Linear Algebra