Capacitated Hub Routing Problem in Hub-and-Feeder Network Design: Modeling and Solution Algorithm

Shahin Gelareh 1 Rahimeh Neamatian Monemi 2 Frédéric Semet 3
3 INOCS - Integrated Optimization with Complex Structure
ULB - Université Libre de Bruxelles [Bruxelles], Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : In this paper, we address the Bounded Cardinality Hub Location Routing with Route Capacity wherein each hub acts as a transshipment node for one directed route. The number of hubs lies between a minimum and a maximum and the hub-level network is a complete subgraph. The transshipment operations take place at the hub nodes and flow transfer time from a hub-level transporter to a spoke-level vehicle influences spoketo- hub allocations. We propose a mathematical model and a branch-and-cut algorithm based on Benders decomposition to solve the problem. To accelerate convergence, our solution framework embeds an efficient heuristic producing high-quality solutions in short computation times. In addition, we show how symmetry can be exploited to accelerate and improve the performance of our method.
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Shahin Gelareh, Rahimeh Neamatian Monemi, Frédéric Semet. Capacitated Hub Routing Problem in Hub-and-Feeder Network Design: Modeling and Solution Algorithm. ODYSSEUS 2015 - Sixth International Workshop on Freight Transportation and Logistics, May 2015, Ajaccio, France. ⟨hal-01222923⟩

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