Abstract

This paper deals with a new mathematical model for designing railway bypasses. The model was developed with applications to urban areas in mind, and presents useful tools to avoid forbidden areas, buildings, and level crossings with secondary paths and other linear infrastructures. It takes into account technical constraints (minimum radii, minimum length of tangents and transition curves, maximum slopes, and also maximum azimuth changes), and ensure a suitable connection with the current layout, for both horizontal and vertical alignment. In addition, the model searches for the best bypass from an economical point of view, taking into account expropriation costs, cleaning and terrain preparation, earthwork (considering different type of materials), and railroad construction costs. This model is applied in a case study located at the Northwest of Spain, in a section of A Coruña-Lugo line, which is currently under consideration for its redesign. By using this model, a railway bypass without level crossings is obtained, avoiding the urban area of Parga and any buildings in the surrounding area, and which is optimal from an economical point of view.

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