The Distribution of the Minimum Distance between a Random Target and Units Patrolling along a Line.

Abstract

The probability distribution of the minimum of the distances from a randomly occurring trouble spot to n carriers patrolling along a line of length L is analyzed. Two approximations, a Poisson process and a fixed lattice of equally spaced points, which bound the analytic model are developed and their usefulness and limitations are discussed. It is hypothesized that a two dimensional Poisson field and a two dimensional lattice of fixed points will form upper and lower bounds for the more algebraically tedious two-dimensional area patrol model. The hypothetical bounding distributions are developed for n units patrolling an area. Finally a one dimensional radius of influence model is developed which quantifies the contribution that the effective operational radius of a carrier airwing makes to the initial minimum distance analytic model. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1979
Accession Number
ADA070158

Entities

People

  • Joseph Dallas Clark Iv

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes
  • Space

DTIC Thesaurus Topics

  • California
  • Distribution Functions
  • Game Theory
  • Geometry
  • New York
  • North America
  • Operations Research
  • Patrolling
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Schools
  • Two Dimensional
  • United States
  • United States Naval Academy

Readers

  • Graph Algorithms and Convex Optimization.
  • Statistical inference.
  • Theoretical Analysis.

Technology Areas

  • Space