An Analysis of the Search and Detection Problem

Abstract

A modification of the Koopman framework for search and detection problems is proposed to account for nonuniform probabilities of target arrival. It essentially consists in determining various physical quantities relevant to the search and detection game for any of a family of simple target paths, each one of which is assigned a given probability of having been chosen from the family. The actual value of the physical quantity of interest is then obtained by averaging over the family parameters. This idea is developed to provide probability densities of target arrival and detection probabilities in the search and detection environment. The mathematical structure of the problem is shown to reduce to a system of iterative equations that are easily amenable to numerical as well as analytical handling. The most appealing quality of the formal structure is the capability it has to account for such realistic features of the search and detection game as partial knowledge of target track and correlations along the path of the searcher.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1976
Accession Number
ADA022574

Entities

People

  • Alfred Kaufman

Organizations

  • Center for Naval Analyses

Tags

Communities of Interest

  • Counter IED
  • Materials and Manufacturing Processes
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Classification
  • Delta Functions
  • Detection
  • Differential Equations
  • Equations
  • Geometry
  • Mathematics
  • Military Research
  • Naval Operations
  • Naval Warfare
  • Navy
  • Nonuniform
  • Physics Laboratories
  • Probability
  • Probability Distributions
  • Step Functions
  • War Colleges

Readers

  • Computational Modeling and Simulation
  • Sensor Fusion and Tracking Systems.
  • Theoretical Analysis.