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The Effective Residual Capacity in Railway Networks with Predefined Train Services

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Operations Research Proceedings 2019

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

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Abstract

In this paper we address a variant of the freight train routing problem to estimate the residual capacity in railway networks with regular passenger services. By ensemble averaging over a random temporal distribution of usable slots in the network, bounds on the number of additional freight trains on predefined relations are established. For the solution, a two-step capacitated routing approach based on a time-expanded network is used. The approach is applied in a case study to freight relations in the railway network of North Rhine Westphalia.

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References

  1. Borndörfer, R., Klug, T., Schlechte, T., Fügenschuh, A., Schang, T., Schülldorf, H.: The freight train routing problem for congested railway networks with mixed traffic. Transp. Sci. 50, 408–423 (2016). https://doi.org/10.1287/trsc.2015.0656

    Article  Google Scholar 

  2. Burdett, R.L., Kozan, E.: Techniques for inserting additional trains into existing timetables, Transport. Res. B 43, 821–836 (2009). https://doi.org/10.1016/j.trb.2009.02.005

    Article  Google Scholar 

  3. Cacchiani, V., Caprara, A., Toth, P.: Scheduling extra freight trains on railway networks. Transp. Res. B 44(2), 215–231 (2010). https://doi.org/10.1016/j.trb.2009.07.007

    Article  Google Scholar 

  4. Meirich, C., Nießen, N.: Calculating the maximal number of additional freight trains in a railway network. J. Rail Transp. Plann. Manag. 6(3), 200–217 (2016)

    Article  Google Scholar 

  5. Nießen, N.: Queueing. In: Hansen, I.A., Pachl. J. (eds.) Railway Timetabling and Operations, pp. 117–131. Eurailpress, Hamburg (2014)

    Google Scholar 

  6. Rothe, I.: DB Netz AG Richtlinie 405 – Fahrwegkapazität, Frankfurt/Berlin (2009)

    Google Scholar 

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Acknowledgement

This work was supported by German Research Foundation (DFG) with research grant 283085490 and RTG 2236 “UnRAVeL”.

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Correspondence to Norman Weik .

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Weik, N., Hemminki, E., Nießen, N. (2020). The Effective Residual Capacity in Railway Networks with Predefined Train Services. In: Neufeld, J.S., Buscher, U., Lasch, R., Möst, D., Schönberger, J. (eds) Operations Research Proceedings 2019. Operations Research Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-030-48439-2_88

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