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      A New Formulation Approach for Location-Routing Problems

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      Author
      Toyoglu, H.
      Karasan, O. E.
      Kara, B. Y.
      Date
      2012
      Journal Title
      Networks and Spatial Economics
      ISSN
      1566-113X (print)
       
      1572-9427 (online)
       
      Publisher
      Springer
      Volume
      12
      Issue
      4
      Pages
      635 - 659
      Language
      English
      Type
      Article
      Metadata
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      Please cite this item using this persistent URL
      http://hdl.handle.net/11693/21241
      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.
      Published as
      http://dx.doi.org/10.1007/s11067-011-9170-y
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