Two Models of Time Constrained Target Travel between Two Endpoints Constructed by the Application of Brownian Motion and a Random Tour.

Abstract

A target must choose a path between some origin and destination. The total travel time and the target speed are specified, and the target wishes to maximize the randomness of its track subject to the spatial and temporal constraints. Measures of effectiveness are developed against which the randomness of any path-producing method can reasonably be judged. Previous investigations into the scenario are reviewed and two models are developed, one using a random tour with drift and the other derived from Brownian motion. Statistics generated by Monte Carlo simulations for both models are compared. While the Brownian motion derived process is not always under perfect control of the constraints, if the timed arrival constraint may be slightly violated then that process performs better against the measures of effectiveness and is easier for a target to execute than is the random tour with drift.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1983
Accession Number
ADA127805

Entities

People

  • William Justin Comstock

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Brownian Motion
  • Cartesian Coordinates
  • Coordinate Systems
  • Data Science
  • Information Science
  • Mathematical Analysis
  • Measures Of Effectiveness
  • Monte Carlo Method
  • Normal Distribution
  • Physics Laboratories
  • Probability
  • Random Variables
  • Simulations
  • Statistics
  • Stochastic Processes
  • Time Intervals
  • Travel Time

Readers

  • Computational Modeling and Simulation
  • Mathematical Modeling and Probability Theory.
  • Operations Research