AN ANALYTICAL METHOD FOR DETERMINING KILL PROBABILITY AGAINST MULTI-COMPARTMENTED TARGETS,

Abstract

Analytical methods are developed to determine the probability of killing a target when accumulated damage is important. A Markov chain model is used to characterize the damage status. The Markov states are cumulative numbers of exploding hits on the target and the transitional probabilities are probabilities of n exploding hits in a shot (n = 0, 1, 2,...N). When groups of weapons are fired in a shot, the probabilities of 0, 1, 2,... etc. hits may be obtained from an existing monte carlo program. Probabilities of hits are transformed into probabilities of exploding hits using the weapon reliability. Finally, with a table of conditional kill probabilities, the probability of killing the target in m shots is calculated. The situation in which a single weapon is fired in a shot is treated as a special simple case which is solved using the binominal distribution rather than the Markov chain model. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1964
Accession Number
AD0703486

Entities

People

  • S. K. Dietz

Organizations

  • Center for Naval Analyses

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Kill Probabilities
  • Markov Chains
  • Markov Processes
  • Mathematics
  • Probability
  • Random Variables
  • Reliability

Readers

  • Electrical Engineering
  • Military Science
  • Statistical inference.