Evaluating levy flight parameters for random searches in a 2D space

Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2013. === This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections. === Cataloged from student-submitted PDF version of thes...

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Main Author: Singh, Mukul Kumar
Other Authors: James H. Williams, Jr..
Format: Others
Language:English
Published: Massachusetts Institute of Technology 2014
Subjects:
Online Access:http://hdl.handle.net/1721.1/83632
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spelling ndltd-MIT-oai-dspace.mit.edu-1721.1-836322019-05-02T16:34:20Z Evaluating levy flight parameters for random searches in a 2D space Singh, Mukul Kumar James H. Williams, Jr.. Massachusetts Institute of Technology. Department of Mechanical Engineering. Massachusetts Institute of Technology. Department of Mechanical Engineering. Mechanical Engineering. Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2013. This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections. Cataloged from student-submitted PDF version of thesis. Includes bibliographical references (pag 23). It is experimentally known that the flight lengths of random searches by foragers such as honey bees statistically belong to a power law distribution. Optimality of such random searches has been a topic of extensive research because knowing their optimal parameters may help applied sciences. Viswanathan et al. have shown the inverse-square power law to be the optimal law for such random searches. This thesis explores the capability of the model presented in such that it can be applied to Unmanned Autonomous Vehicles (UAVs). The thesis also identifies the minimum flight length, lmin, as an important factor that needs to be controlled based on the UAV's sensor range. We present a theoretical lmin as an explicit function of the sensor range, rv, and an estimated target density, p. by Mukul Kumar Singh. S.B. 2014-01-09T18:54:27Z 2014-01-09T18:54:27Z 2013 Thesis http://hdl.handle.net/1721.1/83632 864715848 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 29 pages application/pdf Massachusetts Institute of Technology
collection NDLTD
language English
format Others
sources NDLTD
topic Mechanical Engineering.
spellingShingle Mechanical Engineering.
Singh, Mukul Kumar
Evaluating levy flight parameters for random searches in a 2D space
description Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2013. === This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections. === Cataloged from student-submitted PDF version of thesis. === Includes bibliographical references (pag 23). === It is experimentally known that the flight lengths of random searches by foragers such as honey bees statistically belong to a power law distribution. Optimality of such random searches has been a topic of extensive research because knowing their optimal parameters may help applied sciences. Viswanathan et al. have shown the inverse-square power law to be the optimal law for such random searches. This thesis explores the capability of the model presented in such that it can be applied to Unmanned Autonomous Vehicles (UAVs). The thesis also identifies the minimum flight length, lmin, as an important factor that needs to be controlled based on the UAV's sensor range. We present a theoretical lmin as an explicit function of the sensor range, rv, and an estimated target density, p. === by Mukul Kumar Singh. === S.B.
author2 James H. Williams, Jr..
author_facet James H. Williams, Jr..
Singh, Mukul Kumar
author Singh, Mukul Kumar
author_sort Singh, Mukul Kumar
title Evaluating levy flight parameters for random searches in a 2D space
title_short Evaluating levy flight parameters for random searches in a 2D space
title_full Evaluating levy flight parameters for random searches in a 2D space
title_fullStr Evaluating levy flight parameters for random searches in a 2D space
title_full_unstemmed Evaluating levy flight parameters for random searches in a 2D space
title_sort evaluating levy flight parameters for random searches in a 2d space
publisher Massachusetts Institute of Technology
publishDate 2014
url http://hdl.handle.net/1721.1/83632
work_keys_str_mv AT singhmukulkumar evaluatinglevyflightparametersforrandomsearchesina2dspace
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