A New Formulation Approach for Location-Routing Problems
AbstractA Location-Routing Problem (LRP) combines two difficult problems, facility location and vehicle routing, and as such it is inherently hard to solve. In this paper, we propose a different formulation approach than the common arc-based product-flow (Arc-BPF) approach in the literature. We associate product amounts to the nodes of the network resulting in a node-based product-flow (Node-BPF) formulation. Our main objective is to develop LRP models with fewer constraints and variables, which can be solved more efficiently. To introduce the proposed approach, we reformulate a complex four-index Arc-BPF LRP model from the literature as a three-index Node-BPF model, which computationally outperforms the former. We then introduce a heuristic method. Copyright Springer Science+Business Media, LLC 2012
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Bibliographic InfoArticle provided by Springer in its journal Networks and Spatial Economics.
Volume (Year): 12 (2012)
Issue (Month): 4 (December)
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Web page: http://www.springerlink.com/link.asp?id=106607
Location-routing problem; Mixed integer linear programming; Logistics; Network design;
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