Differential Models of Combat in Cities; An Overview of the BATTLE Model

Abstract

Analytic combat models are abstract models that have received interest in the operations research community. These models are distinguished by the integration of basic combat events into an overall mathematical structure. Analyses of these models are performed by logically consistent mathematical transformations and deductions. Although analytic combat models may be either stochastic or deterministic, they are almost invariably driven by systems of ordinary differential equations. Almost all analytic combat models to date are based on Lanchester type equations or small modifications thereof. In order to embrace considerations of spatial distribution of forces the notion of combat unit densities is employed. (hereafter referred to as c.u. density). A derivation of the mathematical model will demonstrate a natural method for handling c.u. densities. The model is developed in Eulerian coordinates with each model component being in general a function of space and time.

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Document Details

Document Type
Technical Report
Publication Date
Oct 02, 1973
Accession Number
ADP000608

Entities

People

  • Henry Kahn
  • Paul J. Bracken
  • Seth Bonder

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Defense
  • Air Force
  • Aircrafts
  • Airframes
  • Armored Personnel Carriers
  • Attack Aircraft
  • Attack Helicopters
  • Differential Equations
  • Equations
  • Fighter Aircraft
  • Helicopters
  • Operations Research
  • Partial Differential Equations
  • Rear Areas
  • Tactical Aircraft
  • Warfare
  • Weapon Systems

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Military History / Militaries and War Studies
  • Statistical inference.

Technology Areas

  • Space