Simple Analytic Solutions to Complex Military Problems

Abstract

This report documents in mathematically rigorous fashion seven models of recent military problems. These problems, for the most part independent of each other, range from optimum pattern size of a tactical munitions device to the most effective allocation of interceptors in a multilayered strategic defense. Other topics considered include a game theoretic solution of mixing between two offensive systems; the optimal deployment of missiles in a multiple aim point scheme with a symmetrical agreement limiting the number of warheads and, in the case of a fixed enemy threat, and algorithm for determining the cost-effectiveness of bomber aircraft penetrations aids; and the optimal number of short-range attack missiles on a bomber. In each case, careful logic promotes the powerful use of Elementary mathematics to produce and elegant solution to a rather complex. Keywords: Mathematical models; Military planning; Game theory; Intercept capability; Optimal bomber payload against mixed defenses; Equations; Charts. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1985
Accession Number
ADA160834

Entities

People

  • Glenn A. Kent
  • Michael V. Finn

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Agreements
  • Air Force
  • Aircrafts
  • Algorithms
  • Area Defense
  • Attrition
  • Ballistic Missiles
  • Bomblets
  • Bombs
  • Cluster Bombs
  • Cost Effectiveness
  • Mathematical Models
  • Munitions
  • Penetration Aids
  • Probability
  • Random Variables
  • Terminal Defense

Readers

  • Aerospace Engineering
  • Computational Modeling and Simulation
  • Mathematical Modeling and Probability Theory.