Design of a Distribution Network Using Primal-Dual Decomposition

A method to solve the design of a distribution network for bottled drinks company is introduced.The distribution network proposed includes three stages: manufacturing centers, consolidation centers using cross-docking, and distribution centers. The problem is formulated using a mixed-integer program...

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Autores principales: Marmolejo, J. A., Rodríguez, R., Cruz Mejia, O., Saucedo, J.
Formato: Artículo
Lenguaje:inglés
Publicado: 2016
Acceso en línea:http://eprints.uanl.mx/14878/1/89.pdf
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author Marmolejo, J. A.
Rodríguez, R.
Cruz Mejia, O.
Saucedo, J.
author_facet Marmolejo, J. A.
Rodríguez, R.
Cruz Mejia, O.
Saucedo, J.
author_sort Marmolejo, J. A.
collection Repositorio Institucional
description A method to solve the design of a distribution network for bottled drinks company is introduced.The distribution network proposed includes three stages: manufacturing centers, consolidation centers using cross-docking, and distribution centers. The problem is formulated using a mixed-integer programming model in the deterministic and single period contexts. Because the problem considers several elements in each stage, a direct solution is very complicated. For medium-to-large instances the problem falls into large scale. Based on that, a primal-dual decomposition known as cross decomposition is proposed in this paper. This approach allows exploring simultaneously the primal and dual subproblems of the original problem. A comparison of the direct solution with a mixed-integer lineal programming solver versus the cross decomposition is shown for several randomly generated instances. Results show the good performance of the method proposed.
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spelling eprints-148782019-05-24T15:26:15Z http://eprints.uanl.mx/14878/ Design of a Distribution Network Using Primal-Dual Decomposition Marmolejo, J. A. Rodríguez, R. Cruz Mejia, O. Saucedo, J. A method to solve the design of a distribution network for bottled drinks company is introduced.The distribution network proposed includes three stages: manufacturing centers, consolidation centers using cross-docking, and distribution centers. The problem is formulated using a mixed-integer programming model in the deterministic and single period contexts. Because the problem considers several elements in each stage, a direct solution is very complicated. For medium-to-large instances the problem falls into large scale. Based on that, a primal-dual decomposition known as cross decomposition is proposed in this paper. This approach allows exploring simultaneously the primal and dual subproblems of the original problem. A comparison of the direct solution with a mixed-integer lineal programming solver versus the cross decomposition is shown for several randomly generated instances. Results show the good performance of the method proposed. 2016 Article PeerReviewed text en cc_by_nc_nd http://eprints.uanl.mx/14878/1/89.pdf http://eprints.uanl.mx/14878/1.haspreviewThumbnailVersion/89.pdf Marmolejo, J. A. y Rodríguez, R. y Cruz Mejia, O. y Saucedo, J. (2016) Design of a Distribution Network Using Primal-Dual Decomposition. Mathematical Problems in Engineering, 2016. pp. 1-9. ISSN 1024-123X http://doi.org/10.1155/2016/7851625 doi:10.1155/2016/7851625
spellingShingle Marmolejo, J. A.
Rodríguez, R.
Cruz Mejia, O.
Saucedo, J.
Design of a Distribution Network Using Primal-Dual Decomposition
thumbnail https://rediab.uanl.mx/themes/sandal5/images/online.png
title Design of a Distribution Network Using Primal-Dual Decomposition
title_full Design of a Distribution Network Using Primal-Dual Decomposition
title_fullStr Design of a Distribution Network Using Primal-Dual Decomposition
title_full_unstemmed Design of a Distribution Network Using Primal-Dual Decomposition
title_short Design of a Distribution Network Using Primal-Dual Decomposition
title_sort design of a distribution network using primal dual decomposition
url http://eprints.uanl.mx/14878/1/89.pdf
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