The Generalized Arc Routing Problem

  1. Julián Aráoz 1
  2. Elena Fernández 1
  3. Carles Franquesa 2
  1. 1 Universitat Politècnica de Catalunya, España
  2. 2 IKIAM Universidad Regional Amazónica, Ecuador
Revista:
Top

ISSN: 1863-8279,  1134-5764

Año de publicación: 2017

Volumen: 25

Número: 3

Páginas: 497-525

Tipo: Artículo

DOI: 10.1007/S11750-017-0437-4 DIALNET GOOGLE SCHOLAR lock_openAcceso abierto editor

Otras publicaciones en: Top

Resumen

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.

€ Ver financiación

Información de financiación

Acknowledgements This research has been partially supported by the Spanish Ministry of Economy and Competitiveness and EDRF funds through Grant MTM2015-63779-R (MINECO/FEDER). This support is gratefully acknowledged.

Financiadores

    • MTM2015-63779-R
Fuente de los datos: Dialnet