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

Rahimeh Neamatian Monemi (), Shahin Gelareh, Anass Nagih and Dylan Jones
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Rahimeh Neamatian Monemi: Laboratoire de Conception, Optimisation et Modélisation des Systèmes, LCOMS EA 7306
Shahin Gelareh: Laboratoire de Conception, Optimisation et Modélisation des Systèmes, LCOMS EA 7306
Anass Nagih: Laboratoire de Conception, Optimisation et Modélisation des Systèmes, LCOMS EA 7306
Dylan Jones: University of Portsmouth

Annals of Operations Research, 2021, vol. 296, issue 1, No 15, 363-406

Abstract: 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.

Keywords: Hub-and-spoke network design; Load balancing; Traffic engineering; Matheuristic (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10479-019-03421-w

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