Dynamical monge-kantorovich mass transportation problem model with water permeability term

This research focuses on the development of mass transportation problem model in urban planning. This study highlights the dynamical Monge-Kantorovich mass transportation problem model particularly on water permeability potential. It started from the problem that occurs when there is a decrease in t...

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Main Author:	Abidin, Nor Hafizah
Format:	Thesis
Language:	English
Published:	2020
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/102187/1/NorHafizahAbidinPFS2020.pdf.pdf
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id	my-utm-ep.102187
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spelling	my-utm-ep.1021872023-08-13T06:06:14Z Dynamical monge-kantorovich mass transportation problem model with water permeability term 2020 Abidin, Nor Hafizah QA Mathematics This research focuses on the development of mass transportation problem model in urban planning. This study highlights the dynamical Monge-Kantorovich mass transportation problem model particularly on water permeability potential. It started from the problem that occurs when there is a decrease in the capability of water to infiltrate into the soil whenever there is an increase in population density in an area. This situation occurs when the development of the area is poorly planned such that the coverage of surface area disturbs the existing water infiltration process. Thus, this study aims to develop a model by considering the issues outlined above based on the dynamic Monge-Kantorovich mass transportation model, strengthened by theoretical analysis and support. Here, a new model is developed by extending the basic dynamical Monge-Kantorovich mass transportation model by incorporating a water permeability term. The resulting model shows that it satisfies a system of optimality and uniqueness conditions effectively. Also, the stability estimation of the new model are derived. In addition, the proximal splitting method specifically Douglas-Rachford method is implemented to solve the new model. The model is able to successfully identify areas suitable for development using its converged solution. As a conclusion, this investigation leads to an extension of the basic dynamical Monge-Kantorovich mass transportation model into a model with appended water permeability term, assessed and supported by theorems and propositions for validation. This model is useful for future research especially on the development of models in the field of water permeability. 2020 Thesis http://eprints.utm.my/id/eprint/102187/ http://eprints.utm.my/id/eprint/102187/1/NorHafizahAbidinPFS2020.pdf.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:145995 phd doctoral Universiti Teknologi Malaysia Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Abidin, Nor Hafizah Dynamical monge-kantorovich mass transportation problem model with water permeability term
description	This research focuses on the development of mass transportation problem model in urban planning. This study highlights the dynamical Monge-Kantorovich mass transportation problem model particularly on water permeability potential. It started from the problem that occurs when there is a decrease in the capability of water to infiltrate into the soil whenever there is an increase in population density in an area. This situation occurs when the development of the area is poorly planned such that the coverage of surface area disturbs the existing water infiltration process. Thus, this study aims to develop a model by considering the issues outlined above based on the dynamic Monge-Kantorovich mass transportation model, strengthened by theoretical analysis and support. Here, a new model is developed by extending the basic dynamical Monge-Kantorovich mass transportation model by incorporating a water permeability term. The resulting model shows that it satisfies a system of optimality and uniqueness conditions effectively. Also, the stability estimation of the new model are derived. In addition, the proximal splitting method specifically Douglas-Rachford method is implemented to solve the new model. The model is able to successfully identify areas suitable for development using its converged solution. As a conclusion, this investigation leads to an extension of the basic dynamical Monge-Kantorovich mass transportation model into a model with appended water permeability term, assessed and supported by theorems and propositions for validation. This model is useful for future research especially on the development of models in the field of water permeability.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Abidin, Nor Hafizah
author_facet	Abidin, Nor Hafizah
author_sort	Abidin, Nor Hafizah
title	Dynamical monge-kantorovich mass transportation problem model with water permeability term
title_short	Dynamical monge-kantorovich mass transportation problem model with water permeability term
title_full	Dynamical monge-kantorovich mass transportation problem model with water permeability term
title_fullStr	Dynamical monge-kantorovich mass transportation problem model with water permeability term
title_full_unstemmed	Dynamical monge-kantorovich mass transportation problem model with water permeability term
title_sort	dynamical monge-kantorovich mass transportation problem model with water permeability term
granting_institution	Universiti Teknologi Malaysia
granting_department	Faculty of Science
publishDate	2020
url	http://eprints.utm.my/id/eprint/102187/1/NorHafizahAbidinPFS2020.pdf.pdf
_version_	1776100866638479360

Dynamical monge-kantorovich mass transportation problem model with water permeability term

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