Publication:
Effects of uniform target density on random search

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Authors
McNish, Michael J.
Subjects
Random search
Target motion model
Advisors
Eagle, James N.
Date of Issue
1987-09
Date
September 1987
Publisher
Language
en_US
Abstract
This thesis was motivated by a study performed by Commander Submarine Force Pacific (COMSUBAC) of detection rates for a random search model. COMSUBPAC's study included that the probability of nondetection to time t, PND (t), was not of the form exp (-y t), as believed by many. The target motion model used for that study was a new and interesting model, therefore this investigation began by analyzing that model. This investigation discovered that the density of targets for COMSUBPAC's motion model was not uniform over the search area, which might lead to a nonexponential form for PND (t). To lend support to the hypothesis that a uniform distribution of target position can lead to an exponential form of PD (t) the target motion was altered to achieve a uniform target density. The same basic target motion was used because of its inherent advantages over other target motion models. Three different types of boundary reflection patterns were analyzed for their ability to create a uniform target density. Two of those patterns were successful, but only one was suitable for further analysis. Support for the hypothesis was achieved when the PND (t) using this new uniform density target motion model was found to be of exponential form. It was also discovered that the exponential detection rates for this new simulation model were very close to the detection rates predicted by B.0. Koopman's random search formula.
Type
Thesis
Description
Series/Report No
Department
Operations Research
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
53 p.
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.
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