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Multi-product Capacitated Single-Allocation Hub Location Problems: Formulations and Inequalities

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  • Isabel Correia
  • Stefan Nickel
  • Francisco Saldanha-da-Gama

Abstract

In this paper we extend the classical capacitated single-allocation hub location problem by considering that multiple products are to be shipped through the network. We propose a unified modeling framework for the situation in which no more than one hub can be located in each node. In particular, we consider the case in which all hubs are dedicated to handling a single-product as well as the case in which all hubs can handle all products. The objective is to minimize the total cost, which includes setup costs for the hubs, setup costs for each product in each hub and flow routing costs. Hubs are assumed to be capacitated. For this problem several models are proposed which are based on existing formulations for the (single-product) capacitated single-allocation hub location problem. Additionally, several classes of inequalities are proposed in order to strengthen the models in terms of the lower bound provided by the linear relaxation. We report results of a set of computational experiments conducted to test the proposed models and their enhancements. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • Isabel Correia & Stefan Nickel & Francisco Saldanha-da-Gama, 2014. "Multi-product Capacitated Single-Allocation Hub Location Problems: Formulations and Inequalities," Networks and Spatial Economics, Springer, vol. 14(1), pages 1-25, March.
    • Handle: RePEc:kap:netspa:v:14:y:2014:i:1:p:1-25
    DOI: 10.1007/s11067-013-9197-3
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    7. Ivan Contreras & Juan A. Díaz & Elena Fernández, 2011. "Branch and Price for Large-Scale Capacitated Hub Location Problems with Single Assignment," INFORMS Journal on Computing, INFORMS, vol. 23(1), pages 41-55, February.
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    Cited by:

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    4. Abdolsalam Ghaderi, 2015. "Heuristic Algorithms for Solving an Integrated Dynamic Center Facility Location - Network Design Model," Networks and Spatial Economics, Springer, vol. 15(1), pages 43-69, March.
    5. Mehmet R. Taner & Bahar Y. Kara, 2016. "Endogenous Effects of Hubbing on Flow Intensities," Networks and Spatial Economics, Springer, vol. 16(4), pages 1151-1181, December.
    6. Bogusz Wiśnicki & Dorota Dybkowska-Stefek & Justyna Relisko-Rybak & Łukasz Kolanda, 2021. "Methodology for Determining the Location of River Ports on a Modernized Waterway Based on Non-Cost Criteria: A Case Study of the Odra River Waterway," Sustainability, MDPI, vol. 13(6), pages 1-18, March.
    7. Gelareh, Shahin & Neamatian Monemi, Rahimeh & Nickel, Stefan, 2015. "Multi-period hub location problems in transportation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 75(C), pages 67-94.
    8. Neamatian Monemi, Rahimeh & Gelareh, Shahin & Nagih, Anass & Maculan, Nelson & Danach, Kassem, 2021. "Multi-period hub location problem with serial demands: A case study of humanitarian aids distribution in Lebanon," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 149(C).

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