Artículo
A maximum trip covering location problem with an alternative mode of transportation on tree networks and segments
Autor/es | Körner, Mark Christof
Mesa López-Colmenar, Juan Antonio Perea Rojas-Marcos, Federico Schöbel, Anita Scholz, Daniel |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada II |
Fecha de publicación | 2014 |
Fecha de depósito | 2020-07-03 |
Publicado en |
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Resumen | In this paper the following facility location problem in a mixed planarnetwork space is considered: We assume that traveling along a given network is faster
than traveling within the plane according to the Euclidean ... In this paper the following facility location problem in a mixed planarnetwork space is considered: We assume that traveling along a given network is faster than traveling within the plane according to the Euclidean distance. A pair of points (Ai,Aj ) is called covered if the time to access the network from Ai plus the time for traveling along the network plus the time for reaching Aj is lower than, or equal to, a given acceptance level related to the travel time without using the network. The objective is to find facilities (i.e. entry and exit points) on the network that maximize the number of covered pairs. We present a reformulation of the problem using convex covering sets and use this formulation to derive a finite dominating set and an algorithm for locating two facilities on a tree network. Moreover, we adapt a geometric branch and bound approach to the discrete nature of the problem and suggest a procedure for locating more than two facilities on a single line, which is evaluated numerically. |
Identificador del proyecto | FP6-021235-2 (project ARRIVAL)
MTM2009-14243 P09-TEP-5022 FQM-5849 |
Cita | Körner, M.C., Mesa López-Colmenar, J.A., Perea Rojas-Marcos, F., Schöbel, A. y Scholz, D. (2014). A maximum trip covering location problem with an alternative mode of transportation on tree networks and segments. Top (Journal of Operations Research), 22 (1), 227-253. |
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