A New Formulation Approach for Location-Routing Problems

Hunkar Toyoglu (), Oya Karasan and Bahar Kara

Networks and Spatial Economics, 2012, vol. 12, issue 4, 635-659

Abstract: A 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

Keywords: Location-routing problem; Mixed integer linear programming; Logistics; Network design (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (8)

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DOI: 10.1007/s11067-011-9170-y

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