Search for Moving Targets

Abstract

A fundamental problem in the theory of search involves the calculation of the probability of detection for searchers following known paths while attempting to detect a target whose motion is characterized statistically. The searchers' laws of detection and the target's initial distribution are given. Hellman has solved the problem when provided a Fokker-Planck equation for target motion, an unlikely input for military applications. The author solves the problem using the transition probabilities directly, and presents a closed-form expression for the probability of detecting a fleeing datum with an arbitrary search density. This solution is used to perform a gradient optimization for placement of stationary searchers in an antisubmarine warfare context.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1976
Accession Number
ADA033214

Entities

People

  • Anthony P. Ciervo

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Acoustic Detectors
  • Computational Science
  • Detection
  • Detectors
  • Differential Equations
  • Equations
  • Fokker Planck Equations
  • Kolmogorov Equations
  • Markov Processes
  • Military Research
  • Moving Targets
  • Optimization
  • Probability
  • Search Theory
  • Sonobuoys
  • Standards
  • Targets

Readers

  • Calculus or Mathematical Analysis
  • Sensor Fusion and Tracking Systems.