Combined Use of Mathematical Optimization and Design of Experiments for the Maximization of Profit in a Four-Echelon Supply Chain

This paper develops a location-allocation model to optimize a four-echelon supply chain network, addressing manufacturing and distribution centers location, supplier selection and flow allocation for raw materials from suppliers to manufacturers, and finished products for end customers, while search...

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Main Authors: Daniel Arturo Olivares Vera, Elias Olivares-Benitez, Eleazar Puente Rivera, Mónica López-Campos, Pablo A. Miranda
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/8731027
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author Daniel Arturo Olivares Vera
Elias Olivares-Benitez
Eleazar Puente Rivera
Mónica López-Campos
Pablo A. Miranda
author_facet Daniel Arturo Olivares Vera
Elias Olivares-Benitez
Eleazar Puente Rivera
Mónica López-Campos
Pablo A. Miranda
author_sort Daniel Arturo Olivares Vera
collection DOAJ
description This paper develops a location-allocation model to optimize a four-echelon supply chain network, addressing manufacturing and distribution centers location, supplier selection and flow allocation for raw materials from suppliers to manufacturers, and finished products for end customers, while searching for system profit maximization. A fractional-factorial design of experiments is performed to analyze the effects of capacity, quality, delivery time, and interest rate on profit and system performance. The model is formulated as a mixed-integer linear programming problem and solved by using well-known commercial software. The usage of factorial experiments combined with mathematical optimization is a novel approach to address supply chain network design problems. The application of the proposed model to a case study shows that this combination of techniques yields satisfying results in terms of both its behavior and the obtained managerial insights. An ANOVA analysis is executed to quantify the effects of each factor and their interactions. In the analyzed case study, the transportation cost is the most relevant cost component, and the most relevant opportunity for profit improvement is found in the factor of quality. The proposed combination of methods can be adapted to different problems and industries.
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issn 1076-2787
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language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-c84fee17fd884f33b7d23ef7540211c92025-02-03T06:01:25ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/87310278731027Combined Use of Mathematical Optimization and Design of Experiments for the Maximization of Profit in a Four-Echelon Supply ChainDaniel Arturo Olivares Vera0Elias Olivares-Benitez1Eleazar Puente Rivera2Mónica López-Campos3Pablo A. Miranda4Faculty of Information Technologies, Universidad de la Salle Bajío, León, GTO, MexicoFacultad de Ingeniería, Universidad Panamericana, Zapopan, JAL, MexicoDepartment of Engineering, Tecnologico de Monterrey, León, GTO, MexicoIndustrial Engineering Department, Universidad Técnica Federico Santa María, Valparaíso, ChileSchool of Industrial Engineering, Pontificia Universidad Católica de Valparaíso, Valparaíso, ChileThis paper develops a location-allocation model to optimize a four-echelon supply chain network, addressing manufacturing and distribution centers location, supplier selection and flow allocation for raw materials from suppliers to manufacturers, and finished products for end customers, while searching for system profit maximization. A fractional-factorial design of experiments is performed to analyze the effects of capacity, quality, delivery time, and interest rate on profit and system performance. The model is formulated as a mixed-integer linear programming problem and solved by using well-known commercial software. The usage of factorial experiments combined with mathematical optimization is a novel approach to address supply chain network design problems. The application of the proposed model to a case study shows that this combination of techniques yields satisfying results in terms of both its behavior and the obtained managerial insights. An ANOVA analysis is executed to quantify the effects of each factor and their interactions. In the analyzed case study, the transportation cost is the most relevant cost component, and the most relevant opportunity for profit improvement is found in the factor of quality. The proposed combination of methods can be adapted to different problems and industries.http://dx.doi.org/10.1155/2018/8731027
spellingShingle Daniel Arturo Olivares Vera
Elias Olivares-Benitez
Eleazar Puente Rivera
Mónica López-Campos
Pablo A. Miranda
Combined Use of Mathematical Optimization and Design of Experiments for the Maximization of Profit in a Four-Echelon Supply Chain
Complexity
title Combined Use of Mathematical Optimization and Design of Experiments for the Maximization of Profit in a Four-Echelon Supply Chain
title_full Combined Use of Mathematical Optimization and Design of Experiments for the Maximization of Profit in a Four-Echelon Supply Chain
title_fullStr Combined Use of Mathematical Optimization and Design of Experiments for the Maximization of Profit in a Four-Echelon Supply Chain
title_full_unstemmed Combined Use of Mathematical Optimization and Design of Experiments for the Maximization of Profit in a Four-Echelon Supply Chain
title_short Combined Use of Mathematical Optimization and Design of Experiments for the Maximization of Profit in a Four-Echelon Supply Chain
title_sort combined use of mathematical optimization and design of experiments for the maximization of profit in a four echelon supply chain
url http://dx.doi.org/10.1155/2018/8731027
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