A Problem of Allocation of Supporting Fire in Combat as a Zero Sum Differential Game.

Abstract

Optimal fire-support strategies are studied through a deterministic differential game using Lanchester-type equations of warfare. In addition to the MAX-Min principle, the theory of singular extremals is required to solve this prescribed duration combat problem. The combat is between two heterogeneous forces, each composed of infantry and a supporting weapon system (artillery). In contrast to previous work reported in the literature, the attrition structure of the problem at hand leads to the optimal fire-support strategy of the attacker requiring him to sometimes split his artillery fire between enemy infantry and artillery (counterbattery fire). Numerical examples are given. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1974
Accession Number
AD0777882

Entities

People

  • Jeffrey Lee Ellis

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Artillery
  • Artillery Fire
  • Attrition
  • Contrast
  • Equations
  • Fire Support
  • Infantry
  • Literature
  • Military Tactics
  • Warfare
  • Weapon Systems
  • Weapons

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Game Theory.
  • Military Science