Hub location problem in round-trip service applications
RAIRO. Operations Research, Tome 55 (2021), pp. S2831-S2858

In this paper, we introduce a new hub-and-spoke structure for service networks based on round-trips as practiced by some transport service providers. This problem is a variant of Uncapacitated Hub Location Problem wherein the spoke nodes allocated to a hub node form round-trips (cycles) starting from and ending to the hub node. This problem is motivated by two real-life practices in logistics wherein runaway nodes and runaway connections with their associated economies of scale were foreseen to increase redundancy in the network. We propose a mixed integer linear programming mathematical model with exponential number of constraints. In addition to the separation routines for separating from among exponential constraints, we propose a hyper-heuristic based on reinforcement learning and its comparable counterpart as a variable neighborhood search. Our extensive computational experiments confirm efficiency of the proposed approaches.

DOI : 10.1051/ro/2020125
Classification : 68T20, 90C59, 90C27, 90B80, 90C35, 90C05, 90C11
Keywords: Hub location problem, liner shipping, runaway node, branch-and-cut, hyper-heuristic, variable neighborhood search, reinforcement learning, $$-means
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Kemmar, Omar; Bouamrane, Karim; Gelareh, Shahin. Hub location problem in round-trip service applications. RAIRO. Operations Research, Tome 55 (2021), pp. S2831-S2858. doi: 10.1051/ro/2020125

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