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Optimal Design of a Railway Bypass at Parga, Northwest of Spain

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Advances on Links Between Mathematics and Industry

Abstract

In the past few years, different models have been proposed to obtain the optimal design of a linear infrastructure (road or railway) connecting two given points. This paper analyses the usefulness of one of these models to design a railway bypass, in a real case study, on the railway line A Coruña-Palencia (Spain), where it passes through the urban area of Parga. Firstly, to show the good performance of the model, it is applied to a situation whose solution is known “a priori”. Next, the problems arising in the real case are shown, where it is quite complicated to design a layout avoiding existing buildings and other restricted areas, and a two-stage method is proposed generating the layout of the requested bypass. Throughout the development of this method, it arises the need to connect a given circular curve with an also given tangent. To address this problem, an algorithm is proposed for computing the transition curve (clothoid) performing that connection. The work ends with some interesting conclusions and a brief description of future work.

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Correspondence to Miguel E. Vázquez-Méndez .

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Casal, G., Castro, A., Santamarina, D., Vázquez-Méndez, M.E. (2021). Optimal Design of a Railway Bypass at Parga, Northwest of Spain. In: Quintela Estévez, P., Coll, B., Crujeiras, R.M., Durany, J., Escudero, L. (eds) Advances on Links Between Mathematics and Industry. SxI - Springer for Innovation / SxI - Springer per l'Innovazione, vol 15. Springer, Cham. https://doi.org/10.1007/978-3-030-59223-3_2

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