Mathematical Model of a Mixed Surveillance System.

Abstract

This memorandum describes a model of reactive surveillance in which two classes of contacts occur. A single search vehicle attempts to maintain some localization of a single target vehicle with contacts occurring intermittently as a Poisson process but only when the target is within a certain range (exposure disk) of the searcher. An external surveillance system is also present; it produces contacts as a Poisson process irrespective of the target position. Searcher tactics are assumed to approximate optimal search based on an assumed circular normal target distribution determined solely by the class (searcher or external system) of the most recent contact and time since that contact. The remainder of this memorandum is divided into sections. The mathematical model and possible generalizations are described in the first section. Numerical techniques employed for the evaluation of limits and integrals are discussed in the second. The computational algorithm is summarized in the third section. A computer program listing is included an an appendix. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 29, 1977
Accession Number
ADA081328

Entities

People

  • Peter S. Shoenfeld

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Applied Mathematics
  • Bayes Theorem
  • Computer Programs
  • Computers
  • Differential Equations
  • Equations
  • Integrals
  • Markov Chains
  • Markov Processes
  • Mathematical Models
  • Models
  • Probability
  • Procedures (Computers)
  • Random Variables
  • Steady State

Fields of Study

  • Mathematics

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  • Statistical inference.