Some Search Problems with False Contacts

Abstract

Some search problems are described and discussed, starting with the case of no false contacts, to provide a foundation for the development of a search theory in the presence of false contacts. Important properties of the search plan are defined and illustrated by examples. After a general description of false contact generators and alternative actions that may be used when contacts are made, the problem is formulated for the case in which false contacts are generated by real stationary objects that are investigated when contacted. It is shown that the formulation and solution of the standard optimization functionals are contingent on the number of false targets found, in general, and possibly on the locations and times of contact as well. The optimization functional is difficult to write and more difficult to solve. The formulation is made for the expected-time functional when the number of false targets is limited to finite values. The solution is outlined and illustrated with an example.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1972
Accession Number
AD0890841

Entities

People

  • James M. Dobbie

Organizations

  • Arthur D. Little

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Additives (Chemicals)
  • Calculus Of Variations
  • Consistency
  • Detection
  • Detectors
  • Exponential Functions
  • False Targets
  • Generators
  • Military Research
  • Optimization
  • Probability
  • Probability Distributions
  • Search Theory
  • Stationary
  • Target Detection
  • Test And Evaluation

Readers

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