A Targeting Problem Exact versus Expected-Value Approaches.

Abstract

This paper solves a targeting problem exactly and compares the exact solution with several reasonable expected-value approaches in order to gauge their accuracy. The scenario consists of air-to-surface missiles fired simultaneously at a ship formation defended with point defenses. The problem is to find the probability that a given ship will survive the raid. Each ship is present with a given probability and possesses a targeting 'weight' determining the likelihood that it will be selected for targeting among the other ships present. The method can be extended to further layers of defense under certain conditions. Each solution is presented in 2 forms: a finite sum and a definite integral, each being easier to handle than the other under certain conditions. Examples are given. One important conclusion is the spectacular breakdown of reasonable expected-value approaches. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1980
Accession Number
ADA085096

Entities

People

  • Maurice Mizrahi

Organizations

  • Center for Naval Analyses

Tags

Communities of Interest

  • Ground and Sea Platforms
  • Human Systems
  • Weapons Technologies

DTIC Thesaurus Topics

  • Anti-Ship Missiles
  • Applied Mathematics
  • Binomials
  • Commerce
  • Equations
  • Information Processing
  • Information Science
  • Integrals
  • Mathematics
  • Naval Warfare
  • Operations Research
  • Pattern Recognition
  • Point Defense
  • Political Science
  • Polynomials
  • Probability
  • Statistics

Readers

  • Computational Modeling and Simulation
  • Missile Defense Systems.
  • Operations Research