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Efficient approximate solution methods for the multi-commodity capacitated multi-facility Weber problem

Akyuz, M. Hakan; Oncan, Temel; Altinel, I. Kuban


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        "affiliation": "Galatasaray Univ Ortakoy, Dept Ind Engn, TR-34357 Istanbul, Turkey", 
        "name": "Akyuz, M. Hakan"
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      {
        "affiliation": "Galatasaray Univ Ortakoy, Dept Ind Engn, TR-34357 Istanbul, Turkey", 
        "name": "Oncan, Temel"
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      {
        "affiliation": "Bogazici Univ Bebek, Dept Ind Engn, TR-34342 Istanbul, Turkey", 
        "name": "Altinel, I. Kuban"
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    "description": "The capacitated multi-facility Weber problem is concerned with locating 1 capacitated facilities in the plane to satisfy the demand of J customers with the minimum total transportation cost of a single commodity. This is a nonconvex optimization problem and difficult to solve. In this work, we focus on a multi-commodity extension and consider the situation where K distinct commodities are shipped subject to capacity constraints between each customer and facility pair. Customer locations, demands and capacities for each commodity, and bundle restrictions are known a priori. The transportation costs, which are proportional to the distance between customers and facilities, depend on the commodity type. We address several location-allocation and discrete approximation heuristics using different strategies. Based on the obtained computational results we can say that the alternate solution of location and allocation problems is a very efficient strategy; but the discrete approximation has excellent accuracy. Crown Copyright (C) 2011 Published by Elsevier Ltd. All rights reserved.", 
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