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On Optimally Allocating Tracks in Complex Railway Stations

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Operations Research Proceedings 2015

Part of the book series: Operations Research Proceedings ((ORP))

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Abstract

Timetabling and capacity planning of railway transport faces ever-growing challenges. Due to the high number of different influences on capacity, timetable optimization in the railway network cannot be efficiently handled by manual effort. The software system TAKT is a state-of-the-art realization, which allows to compute automatically strictly synchronized and conflict-free timetables for very large railway networks. The complexity increases significantly in the consideration of single tracks and highly frequented main railway stations which may also have a extensive track layout. This work shows how the complexity of the timetables process can be reduced by ignoring selected minimum headway constraints. As a result, timetables with possible conflicts in those covered regions will be computed. Consequently, there is the need for efficient algorithms and its corresponding conjunction to solve the remaining conflicts by detecting alternative stopping positions and routes within a main railway station and the optimized selection.

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Notes

  1. 1.

    More than 800 employees work in the timetabling department of DB Netz, the largest railway infrastructure manager in Germany.

References

  1. Großmann, P., Hölldobler, S., Manthey, N., Nachtigall, K., Opitz, J., Steinke, P.: Solving periodic event scheduling problems with SAT. In: IEA/AIE. LNAI, vol. 7345, pp. 166–175. Springer (2012)

    Google Scholar 

  2. Kroon, L.G., Romeijn, H.E., Zwaneveld, P.J.: Routing trains through railway stations: complexity issues. Eur. J. Oper. Res. 98, 485–498 (1997)

    Article  Google Scholar 

  3. Nachtigall, K.: Periodic Network Optimization and Fixed Interval Timetable. Habilitation thesis, University Hildesheim (1998)

    Google Scholar 

  4. Opitz, J.: Automatische Erzeugung und Optimierung von Taktfahrplänen in Schienenverkehrsnetzen. Mobilität und Verkehr, Gabler Verlag, Logistik (2009)

    Book  Google Scholar 

  5. Pöhle D., Weiß R., Opitz J., Großmann P., Nachtigall K.: Neuartiges automatisches Routing in realen Eisenbahnnetzen mit dem Programmsystem TAKT. ETR Band 61 (2012)

    Google Scholar 

  6. Serafini, P., Ukovich, W.: A mathematical model for periodic scheduling problems. SIAM J. Discrete Math. 2(4), 550–581 (1989)

    Article  Google Scholar 

  7. Zwaneveld, P.J., Kroon, L.G., Romeijn, H.E., Solomon, M., Dauzre-Prs, S., Van Hoesel, S.P.M., Ambergen, H.W.: Routing trains through railway stations: model formulation and algorithms. Transp. Sci. 30, 181–194 (1996)

    Article  Google Scholar 

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Correspondence to Reyk Weiß .

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Weiß, R., Kümmling, M., Opitz, J. (2017). On Optimally Allocating Tracks in Complex Railway Stations. In: Dörner, K., Ljubic, I., Pflug, G., Tragler, G. (eds) Operations Research Proceedings 2015. Operations Research Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-319-42902-1_39

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