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Authors: Gabriela Iriarte ; Pablo Escalona ; Alejandro Angulo and Raul Stegmaier

Affiliation: Universidad Técnica Federico Santa María, Chile

ISBN: 978-989-758-218-9

Keyword(s): Weber Problem, Fixed Costs, Delaunay Triangulation, Kriging Interpolation.

Related Ontology Subjects/Areas/Topics: Applications ; Artificial Intelligence ; e-Business ; Enterprise Information Systems ; Industrial Engineering ; Knowledge Discovery and Information Retrieval ; Knowledge-Based Systems ; Logistics ; Mathematical Modeling ; Methodologies and Technologies ; Operational Research ; Optimization ; Supply Chain Management ; Symbolic Systems

Abstract: This paper analyzes the location of a distribution center in an urban area using a single-source Weber problem with continuous piecewise fixed cost to find a global optimal location. The fixed cost is characterized by a Kriging interpolation method. To make the fixed cost tractable, we approximate this interpolation with a continuous piecewise function that is convex in each piece, using Delaunay triangulation. We present a decomposition formulation, a decomposition conic formulation and a conic logarithmic disaggregated convex combination model to optimally solve the single-source Weber problem with continuous piecewise fixed cost. Although our continuous approach does not guarantee the global optimal feasible location, it allows us to delimit a zone where we can intensify the search of feasible points. For instances we tested, computational results show that our continuous approach found better locations than the discrete approach in 23.25% of the instances and that the decomposit ion formulation is the best one, in terms of CPU time. (More)

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Paper citation in several formats:
Iriarte, G.; Escalona, P.; Angulo, A. and Stegmaier, R. (2017). A Single-source Weber Problem with Continuous Piecewise Fixed Cost.In Proceedings of the 6th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES, ISBN 978-989-758-218-9, pages 337-344. DOI: 10.5220/0006191003370344

@conference{icores17,
author={Gabriela Iriarte. and Pablo Escalona. and Alejandro Angulo. and Raul Stegmaier.},
title={A Single-source Weber Problem with Continuous Piecewise Fixed Cost},
booktitle={Proceedings of the 6th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},
year={2017},
pages={337-344},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006191003370344},
isbn={978-989-758-218-9},
}

TY - CONF

JO - Proceedings of the 6th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,
TI - A Single-source Weber Problem with Continuous Piecewise Fixed Cost
SN - 978-989-758-218-9
AU - Iriarte, G.
AU - Escalona, P.
AU - Angulo, A.
AU - Stegmaier, R.
PY - 2017
SP - 337
EP - 344
DO - 10.5220/0006191003370344

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