Numerical simulations of agent navigation via half-sweep modified two-parameter over-relaxation (HSMTOR)

The research on the efficiency of route navigation has been continuously developing. Especially, the capability of the generated route to provide a collision-free route for an agent to move in a particular environment. Thus, this study attempts to solve the route navigational problem iteratively via...

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Main Authors: F A Musli, Jumat Sulaiman, Azali Saudi
Format: Proceedings
Language:English
English
Published: Institute of Physics Publishing 2021
Subjects:
Online Access:https://eprints.ums.edu.my/id/eprint/31917/1/Numerical%20simulations%20of%20agent%20navigation%20via%20half-sweep%20modified%20two-parameter%20over-relaxation%20%28HSMTOR%29.ABSTRACT.pdf
https://eprints.ums.edu.my/id/eprint/31917/2/Numerical%20simulations%20of%20agent%20navigation%20via%20Half-Sweep%20Modified%20Two-Parameter%20Over-Relaxation%20%28HSMTOR%29.pdf
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author F A Musli
Jumat Sulaiman
Azali Saudi
author_facet F A Musli
Jumat Sulaiman
Azali Saudi
author_sort F A Musli
collection UMS
description The research on the efficiency of route navigation has been continuously developing. Especially, the capability of the generated route to provide a collision-free route for an agent to move in a particular environment. Thus, this study attempts to solve the route navigational problem iteratively via a numerical method. A new method called Half-Sweep Modified Two-Parameter Over-Relaxation (HSMTOR) is used to solve the navigational problems. For numerical simulation purposes, HSMTOR is used to obtain Laplace's equation solutions called harmonic functions. A gradient descent search algorithm then utilizes the harmonic functions to provide a smooth and collision-free route for an agent to commute inside the environment. In addition, the formulation of the HSMTOR iterative method is presented. Several numerical experiments and simulations are conducted in order to verify the efficiency of the proposed method. The result shows that the proposed method performed better than the existing methods such as full-, half-sweep for Modified Successive Over-Relaxation, Modified Accelerated Over-Relaxation and Modified Two-Parameter Over-Relaxation respectively (FSMSOR, HSMSOR, FSMAOR, HSMAOR and FSMTOR) .
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spelling ums.eprints-319172022-03-18T05:39:04Z https://eprints.ums.edu.my/id/eprint/31917/ Numerical simulations of agent navigation via half-sweep modified two-parameter over-relaxation (HSMTOR) F A Musli Jumat Sulaiman Azali Saudi QA1-43 General The research on the efficiency of route navigation has been continuously developing. Especially, the capability of the generated route to provide a collision-free route for an agent to move in a particular environment. Thus, this study attempts to solve the route navigational problem iteratively via a numerical method. A new method called Half-Sweep Modified Two-Parameter Over-Relaxation (HSMTOR) is used to solve the navigational problems. For numerical simulation purposes, HSMTOR is used to obtain Laplace's equation solutions called harmonic functions. A gradient descent search algorithm then utilizes the harmonic functions to provide a smooth and collision-free route for an agent to commute inside the environment. In addition, the formulation of the HSMTOR iterative method is presented. Several numerical experiments and simulations are conducted in order to verify the efficiency of the proposed method. The result shows that the proposed method performed better than the existing methods such as full-, half-sweep for Modified Successive Over-Relaxation, Modified Accelerated Over-Relaxation and Modified Two-Parameter Over-Relaxation respectively (FSMSOR, HSMSOR, FSMAOR, HSMAOR and FSMTOR) . Institute of Physics Publishing 2021-07 Proceedings PeerReviewed text en https://eprints.ums.edu.my/id/eprint/31917/1/Numerical%20simulations%20of%20agent%20navigation%20via%20half-sweep%20modified%20two-parameter%20over-relaxation%20%28HSMTOR%29.ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/31917/2/Numerical%20simulations%20of%20agent%20navigation%20via%20Half-Sweep%20Modified%20Two-Parameter%20Over-Relaxation%20%28HSMTOR%29.pdf F A Musli and Jumat Sulaiman and Azali Saudi (2021) Numerical simulations of agent navigation via half-sweep modified two-parameter over-relaxation (HSMTOR). https://www.proquest.com/openview/d0a092b778ff39b3fbb109765f52b9ad/1?pq-origsite=gscholar&cbl=4998668
spellingShingle QA1-43 General
F A Musli
Jumat Sulaiman
Azali Saudi
Numerical simulations of agent navigation via half-sweep modified two-parameter over-relaxation (HSMTOR)
title Numerical simulations of agent navigation via half-sweep modified two-parameter over-relaxation (HSMTOR)
title_full Numerical simulations of agent navigation via half-sweep modified two-parameter over-relaxation (HSMTOR)
title_fullStr Numerical simulations of agent navigation via half-sweep modified two-parameter over-relaxation (HSMTOR)
title_full_unstemmed Numerical simulations of agent navigation via half-sweep modified two-parameter over-relaxation (HSMTOR)
title_short Numerical simulations of agent navigation via half-sweep modified two-parameter over-relaxation (HSMTOR)
title_sort numerical simulations of agent navigation via half sweep modified two parameter over relaxation hsmtor
topic QA1-43 General
url https://eprints.ums.edu.my/id/eprint/31917/1/Numerical%20simulations%20of%20agent%20navigation%20via%20half-sweep%20modified%20two-parameter%20over-relaxation%20%28HSMTOR%29.ABSTRACT.pdf
https://eprints.ums.edu.my/id/eprint/31917/2/Numerical%20simulations%20of%20agent%20navigation%20via%20Half-Sweep%20Modified%20Two-Parameter%20Over-Relaxation%20%28HSMTOR%29.pdf
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