Two models of time constrained target travel between two endpoints constructed by the application of Brownian motion and a random tour
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Authors
Comstock, William Justin
Subjects
Random tour
Brownian motion
Target motion
Constrained target motion
Controlled time of arrival
Time constrained motion
Target drift
Brownian motion
Target motion
Constrained target motion
Controlled time of arrival
Time constrained motion
Target drift
Advisors
Gaver, Donald P.
Eagle, James N.
Date of Issue
1983-03
Date
March 1983
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
A target must chose a path between some origin and destination. The total travel times 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.
Type
Thesis
Description
Series/Report No
Department
Department of Operations Research
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.