Accession Number:

ADA070158

Title:

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

Descriptive Note:

Master's thesis,

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s):

Report Date:

1979-03-01

Pagination or Media Count:

66.0

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

Subject Categories:

  • Statistics and Probability
  • Naval Surface Warfare

Distribution Statement:

APPROVED FOR PUBLIC RELEASE