Mathematical Programming and Solution Approaches for Transportation Optimisation in Supply Network

The problem of transport is a special type of mathematical programming designed to search for the optimal distribution network, taking into account the set of suppliers and the set of recipients. This article proposes an innovative approach to solving the transportation problem and devises source co...

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Autores principales:	Joanna Szkutnik-Rogoż, Jarosław Ziółkowski, Jerzy Małachowski, Mateusz Oszczypała
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	transportation optimization CO<sub>2</sub> emissions mathematical modeling programming code verification Technology T
Acceso en línea:	https://doaj.org/article/0fc03573e29445b48015cadc4212130d
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spelling	oai:doaj.org-article:0fc03573e29445b48015cadc4212130d2021-11-11T15:49:36ZMathematical Programming and Solution Approaches for Transportation Optimisation in Supply Network10.3390/en142170101996-1073https://doaj.org/article/0fc03573e29445b48015cadc4212130d2021-10-01T00:00:00Zhttps://www.mdpi.com/1996-1073/14/21/7010https://doaj.org/toc/1996-1073The problem of transport is a special type of mathematical programming designed to search for the optimal distribution network, taking into account the set of suppliers and the set of recipients. This article proposes an innovative approach to solving the transportation problem and devises source codes in GNU Octave (version 3.4.3) to avoid the necessity of carrying out enormous calculations in traditional methods and to minimize transportation costs, fuel consumption, and CO<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>2</mn></msub></semantics></math></inline-formula> emission. The paper presents a numerical example of a solution to the transportation problem using: the northwest corner, the least cost in the matrix, the row minimum, and Vogel’s Approximation Methods (VAM). The joint use of mathematical programming and optimization was applicable to real conditions. The transport was carried out with medium load trucks. Both suppliers and recipients of materials were located geographically within the territory of the Republic of Poland. The presented model was supported by a numerical example with interpretation and visualization of the obtained results. The implementation of the proposed solution enables the user to develop an optimal transport plan for individually defined criteria.Joanna Szkutnik-RogożJarosław ZiółkowskiJerzy MałachowskiMateusz OszczypałaMDPI AGarticletransportation optimizationCO<sub>2</sub> emissionsmathematical modelingprogrammingcode verificationTechnologyTENEnergies, Vol 14, Iss 7010, p 7010 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	transportation optimization CO<sub>2</sub> emissions mathematical modeling programming code verification Technology T
spellingShingle	transportation optimization CO<sub>2</sub> emissions mathematical modeling programming code verification Technology T Joanna Szkutnik-Rogoż Jarosław Ziółkowski Jerzy Małachowski Mateusz Oszczypała Mathematical Programming and Solution Approaches for Transportation Optimisation in Supply Network
description	The problem of transport is a special type of mathematical programming designed to search for the optimal distribution network, taking into account the set of suppliers and the set of recipients. This article proposes an innovative approach to solving the transportation problem and devises source codes in GNU Octave (version 3.4.3) to avoid the necessity of carrying out enormous calculations in traditional methods and to minimize transportation costs, fuel consumption, and CO<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>2</mn></msub></semantics></math></inline-formula> emission. The paper presents a numerical example of a solution to the transportation problem using: the northwest corner, the least cost in the matrix, the row minimum, and Vogel’s Approximation Methods (VAM). The joint use of mathematical programming and optimization was applicable to real conditions. The transport was carried out with medium load trucks. Both suppliers and recipients of materials were located geographically within the territory of the Republic of Poland. The presented model was supported by a numerical example with interpretation and visualization of the obtained results. The implementation of the proposed solution enables the user to develop an optimal transport plan for individually defined criteria.
format	article
author	Joanna Szkutnik-Rogoż Jarosław Ziółkowski Jerzy Małachowski Mateusz Oszczypała
author_facet	Joanna Szkutnik-Rogoż Jarosław Ziółkowski Jerzy Małachowski Mateusz Oszczypała
author_sort	Joanna Szkutnik-Rogoż
title	Mathematical Programming and Solution Approaches for Transportation Optimisation in Supply Network
title_short	Mathematical Programming and Solution Approaches for Transportation Optimisation in Supply Network
title_full	Mathematical Programming and Solution Approaches for Transportation Optimisation in Supply Network
title_fullStr	Mathematical Programming and Solution Approaches for Transportation Optimisation in Supply Network
title_full_unstemmed	Mathematical Programming and Solution Approaches for Transportation Optimisation in Supply Network
title_sort	mathematical programming and solution approaches for transportation optimisation in supply network
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/0fc03573e29445b48015cadc4212130d
work_keys_str_mv	AT joannaszkutnikrogoz mathematicalprogrammingandsolutionapproachesfortransportationoptimisationinsupplynetwork AT jarosławziołkowski mathematicalprogrammingandsolutionapproachesfortransportationoptimisationinsupplynetwork AT jerzymałachowski mathematicalprogrammingandsolutionapproachesfortransportationoptimisationinsupplynetwork AT mateuszoszczypała mathematicalprogrammingandsolutionapproachesfortransportationoptimisationinsupplynetwork
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Mathematical Programming and Solution Approaches for Transportation Optimisation in Supply Network

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