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

•New mathematical models for the Capacitated Vehicle Routing Problem.•Lower bounds computable in pseudo-polynomial time.•Column-generation technique to solve vehicle routing problems with capacity constraints. The Capacitated Vehicle Routing Problem (CVRP) is a classic combinatorial optimization pro...

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Bibliographic Details
Published in:European journal of operational research Vol. 272; no. 1; pp. 24 - 31
Main Authors: Letchford, Adam N., Salazar-González, Juan-José
Format: Journal Article
Language:English
Published: Elsevier B.V 01.01.2019
Subjects:
Column generation
Integer programming
Vehicle routing
Integer programming
Vehicle routing
Column generation
ISSN:0377-2217, 1872-6860
Online Access:Get full text
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Summary:•New mathematical models for the Capacitated Vehicle Routing Problem.•Lower bounds computable in pseudo-polynomial time.•Column-generation technique to solve vehicle routing problems with capacity constraints. 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.
ISSN:0377-2217
1872-6860
DOI:10.1016/j.ejor.2018.06.002