The Capacitated Vehicle Routing Problem: Stronger bounds in pseudo-polynomial time

Adam N. Letchford and Juan-José Salazar-González

European Journal of Operational Research, 2019, vol. 272, issue 1, 24-31

Abstract: The Capacitated Vehicle Routing Problem (CVRP) is a classic combinatorial optimization problem for which many heuristics, relaxations and exact algorithms have been proposed. Since the CVRP is NP-hard in the strong sense, a natural research topic is relaxations that can be solved in pseudo-polynomial time. We consider several old and new relaxations of this kind, all of which are based on column generation. We also analyze the effect of adding some known inequalities. Computational experiments demonstrate that the best of our new relaxations yields extremely tight lower bounds.

Keywords: Vehicle routing; Integer programming; Column generation (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:272:y:2019:i:1:p:24-31

DOI: 10.1016/j.ejor.2018.06.002

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