On the Distance-Constrained Close Enough Arc Routing Problem
[EN] Arc routing problems consist basically of finding one or several routes traversing a given set of arcs and/or edges that must be serviced. The Close-Enough Arc Routing Problem, or Generalized Directed Rural Postman Problem, does not assume that customers are located at specific arcs, but can be...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/184692 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/184692 |
| Access Level: | acceso abierto |
| Palabra clave: | Routing Distance constraints Close-enough Rural Postman Branch and cut MATEMATICA APLICADA |
| Sumario: | [EN] Arc routing problems consist basically of finding one or several routes traversing a given set of arcs and/or edges that must be serviced. The Close-Enough Arc Routing Problem, or Generalized Directed Rural Postman Problem, does not assume that customers are located at specific arcs, but can be serviced by traversing any arc of a given subset. Real-life applications include routing for meter reading, in which a vehicle equipped with a receiver travels a street network. If the vehicle gets within a certain distance of a meter, the receiver collects its data. Therefore, only a few streets which are close enough to the meters need to be traversed. In this paper we study the generalization of this problem to the case in which a fleet of vehicles is available. This problem, the Distance-Constrained Close Enough Arc Routing Problem, consists of finding a set of routes with minimum total cost such that their length does not exceed a maximum distance. In this article, we propose a new formulation for the Distance-Constrained Close Enough Arc Routing Problem and present some families of valid inequalities that we use in a branch-and-cut algorithm for its solution. Extensive computational experiments have been performed on a set of benchmark instances and the results are compared with those obtained with other heuristic and exact methods. |
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