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Bi-objective load balancing multiple allocation hub location: a compromise programming approach

Author

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  • Rahimeh Neamatian Monemi

    (Laboratoire de Conception, Optimisation et Modélisation des Systèmes, LCOMS EA 7306
    Université de Lorraine, IUT de Metz
    University of Southampton)

  • Shahin Gelareh

    (Laboratoire de Conception, Optimisation et Modélisation des Systèmes, LCOMS EA 7306
    Université d’Artois)

  • Anass Nagih

    (Laboratoire de Conception, Optimisation et Modélisation des Systèmes, LCOMS EA 7306
    Université de Lorraine)

  • Dylan Jones

    (University of Portsmouth)

Abstract

In this paper we address unbalanced spatial distribution of hub-level flows in an optimal hub-and-spoke network structure of median-type models. Our study is based on a rather general variant of the multiple allocation hub location problems with fixed setup costs for hub nodes and hub edges in both capacitated and uncapacitated variants wherein the number of hub nodes traversed along origin-destination pairs is not constrained to one or two as in the classical models.. From the perspective of an infrastructure owner, we want to make sure that there exists a choice of design for the hub-level sub-network (hubs and hub edges) that considers both objectives of minimizing cost of transportation and balancing spatial distribution of flow across the hub-level network. We propose a bi-objective (transportation cost and hub-level flow variance) mixed integer non-linear programming formulation and handle the bi-objective model via a compromise programming framework. We exploit the structure of the problem and propose a second-order conic reformulation of the model along with a very efficient matheuristics algorithm for larger size instances.

Suggested Citation

  • Rahimeh Neamatian Monemi & Shahin Gelareh & Anass Nagih & Dylan Jones, 2021. "Bi-objective load balancing multiple allocation hub location: a compromise programming approach," Annals of Operations Research, Springer, vol. 296(1), pages 363-406, January.
    • Handle: RePEc:spr:annopr:v:296:y:2021:i:1:d:10.1007_s10479-019-03421-w
    DOI: 10.1007/s10479-019-03421-w
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    References listed on IDEAS

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    1. Ramamoorthy, Prasanna & Vidyarthi, Navneet & Verma, Manish, 2024. "Efficient solution approaches for the bi-criteria p-hub median and dispersion problem," European Journal of Operational Research, Elsevier, vol. 314(1), pages 79-93.

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