Two-phase branch-and-cut for the mixed capacitated general routing problem

Stefan Irnich, Demetrio Laganà, Claudia Schlebusch and Francesca Vocaturo

European Journal of Operational Research, 2015, vol. 243, issue 1, 17-29

Abstract: The Mixed Capacitated General Routing Problem (MCGRP) is defined over a mixed graph, for which some vertices must be visited and some links must be traversed at least once. The problem consists of determining a set of least-cost vehicle routes that satisfy this requirement and respect the vehicle capacity. Few papers have been devoted to the MCGRP, in spite of interesting real-world applications, prevalent in school bus routing, mail delivery, and waste collection. This paper presents a new mathematical model for the MCGRP based on two-index variables. The approach proposed for the solution is a two-phase branch-and-cut algorithm, which uses an aggregate formulation to develop an effective lower bounding procedure. This procedure also provides strong valid inequalities for the two-index model. Extensive computational experiments over benchmark instances are presented.

Keywords: General routing problem; Mixed graph; Integer programming; Branch-and-cut algorithm (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:243:y:2015:i:1:p:17-29

DOI: 10.1016/j.ejor.2014.11.005

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