A COMBINATORIAL MODEL FOR DETERMINING PENETRATION PROBABILITY OF WARHEADS ACCOMPANIED BY DECOYS

Abstract

The following assumptions are made: (1) the defense detects the complete swarm of incoming objects before the engagement begins; (2) he commits his c missiles as uniformly as possible; (3) he cannot distinguish between decoys and warheads prior to final commitment time; and (4) he cannot kill more than one incoming object with a single missile. In the derivation of the mathematical model, a restriction of the number of incoming objects is first made, and the probability of at least one warhead penetrating is determined. Next this restriction is removed, and the probability of at least one warhead penetrating is established again. Finally this result is made more general to determine the probability that at least u warheads penetrate.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1963
Accession Number
AD0425843

Entities

People

  • Bertha M. Butler
  • Miriam K. Manoff
  • Richard H. Gramann

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Acquisition
  • Active Defense
  • Army
  • Deployment
  • Doctrine
  • Field Army
  • Government Procurement
  • Governments
  • Intervals
  • Kill Probabilities
  • Mathematical Models
  • Models
  • New York
  • Nonuniform
  • Penetration Aids
  • Probability

Readers

  • Sensor Fusion and Tracking Systems.
  • Statistical inference.
  • Strategic Security Studies