Evolution of railway network flexibility: The Spanish broad gauge case |
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| Authors: | Eugenio Roanes-Lozano Luis M Laita Eugenio Roanes-Macías Michael J Wester José Luis Ruiz-Lozano Carlos Roncero |
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| Affiliation: | 1. Departamento de Algebra, Universidad Complutense de Madrid, c/ Rector Royo Villanova s/n, E-28040 Madrid, Spain;2. Departamento de Inteligencia Artificial, Universidad Politécnica de Madrid, Campus de Montegancedo, Boadilla del Monte, E-28660 Madrid, Spain;3. Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM 87131, USA;4. Escuela Superior de Ingenieros Industriales, Universidad de Sevilla, Avenida de los Descubrimientos s/n, Isla de la Cartuja, E-41092 Seville, Spain;5. Departamento de Ingeniería Eléctrica y Electrónica, Escuela de Ingenierías Industriales, Universidad de Extremadura, Avenida de Elvas s/n, 06071 Badajoz, Spain |
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| Abstract: | The length of the Spanish broad gauge network has decreased in the 1956–2006 period. When looking at different railway maps through this period, it seems that the network is offering fewer and fewer alternatives when a line is cut, that is, the network is becoming less and less flexible. The goal of this article is to prove that the flexibility of the Spanish broad gauge network has decreased substantially in the 1956–2006 period. We have considered the network as a graph (ignoring traditional railway quality indicators such as commercial speed, number of tracks, electrifications, signaling, …) and we have chosen two simple indicators as accurate in this sense: the number of cycles (cycles provide an alternative to reach a station if there is a problem in one line) and the number of stations of intermediate degree. To achieve this, we have developed a piece of software that is an ad hoc extension of Maple’s networks package. |
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| Keywords: | Railway network analysis Graph theory Computer algebra systems |
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