The Generalized Arc Routing Problem

Julián Aráoz (), Elena Fernández () and Carles Franquesa ()
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Julián Aráoz: Universitat Politècnica de Catalunya-BcnTech
Elena Fernández: Universitat Politècnica de Catalunya-BcnTech
Carles Franquesa: IKIAM Universidad Regional Amazónica

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2017, vol. 25, issue 3, No 8, 497-525

Abstract: Abstract This paper focuses on the generalized arc routing problem. This problem is stated on an undirected graph in which some clusters are defined as pairwise-disjoint connected subgraphs, and a route is sought that traverses at least one edge of each cluster. Broadly speaking, the generalized arc routing problem is the arc routing counterpart of the generalized traveling salesman problem, where the set of vertices of a given graph is partitioned into clusters and a route is sought that visits at least one vertex of each cluster. A mathematical programming formulation that exploits the structure of the problem and uses only binary variables is proposed. Facets and families of valid inequalities are presented for the polyhedron associated with the formulation and the corresponding separation problem studied. The numerical results of a series of computational experiments with an exact branch and cut algorithm are presented and analyzed.

Keywords: Arc routing; Polyhedral modeling; Routing; Facets; Valid inequalities; Mathematical programming; CPLEX; Branch and cut; TSP; Operations research; 98B09 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s11750-017-0437-4

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