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Freight Train Scheduling in Railway Systems

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Measurement, Modelling and Evaluation of Computing Systems (MMB 2020)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 12040))

Abstract

Passenger train timetables in Europe are often periodical and predetermined for longer periods of time to facilitate the planning of travel. Freight train schedules, however, depend on the actual demand. Therefore it is a common problem in railway systems to schedule additional freight train requests, under consideration of a given timetable for passenger trains. In this paper, we present a model for railway systems that allows us to solve this scheduling problem as a constrained time-dependent shortest path problem. We adapt and implement an algorithm to solve this type of problems, examine our results, and discuss possible modifications and extensions to this approach.

This research is funded by the Research Training Group UnRAVeL (RTG 2236).

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References

  1. Borndörfer, R., Fügenschuh, A., Klug, T., Schang, T., Schlechte, T., Schülldorf, H.: The freight train routing problem. Technical Report 13-36, ZIB (2013)

    Google Scholar 

  2. Burdett, R., Kozan, E.: Techniques for inserting additional trains into existing timetables. Transp. Res. Part B Methodol. 43(8), 821–836 (2009)

    Article  Google Scholar 

  3. Cacchiani, V., Caprara, A., Toth, P.: A column generation approach to train timetabling on a corridor. 4OR 6(2), 125–142 (2008). https://doi.org/10.1007/s10288-007-0037-5

    Article  MathSciNet  MATH  Google Scholar 

  4. Cacchiani, V., Caprara, A., Toth, P.: Scheduling extra freight trains on railway networks. Transp. Res. Part B Methodol. 44(2), 215–231 (2010)

    Article  Google Scholar 

  5. Chabini, I.: Discrete dynamic shortest path problems in transportation applications: Complexity and algorithms with optimal run time. Transp. Res. Rec. 1645(1), 170–175 (1998)

    Article  Google Scholar 

  6. Dean, B.C.: Algorithms for minimum-cost paths in time-dependent networks with waiting policies. Networks 44, 41–46 (2004)

    Article  MathSciNet  Google Scholar 

  7. Deutsche Bahn, A.G.: Energy efficiency increased. https://ib.deutschebahn.com/ib2016/en/group-management-report/group-performance-environmental-dimension/progress-in-climate-protection/energy-efficiency-increased/. Accessed 13 Nov 2019

  8. Dijkstra, E.W.: A note on two problems in connexion with graphs. Numerische Mathematik 1(1), 269–271 (1959)

    Article  MathSciNet  Google Scholar 

  9. El-Sherbeny, N.: The algorithm of the time-dependent shortest path problem with time windows. Appl. Math. 5(17), 2764–2770 (2014)

    Article  Google Scholar 

  10. El-Sherbeny, N.: The dynamic sortest path problems of minimum cost length time windows and time-varying costs. Int. J. Sci. Innov. Math. Res. 3(3), 47–55 (2015)

    Google Scholar 

  11. Fujimura, K.: Time-minimum routes in time-dependent networks. IEEE Trans. Rob. Autom. 11(3), 343–351 (1995)

    Article  Google Scholar 

  12. Halpern, J.: Shortest route with time dependent length of edges and limited delay possibilities in nodes. Zeitschrift für Oper. Res. 21(3), 117–124 (1977)

    MathSciNet  MATH  Google Scholar 

  13. Halpern, J., Priess, I.: Shortest path with time constraints on movement and parking. Networks 4(3), 241–253 (1974)

    Article  MathSciNet  Google Scholar 

  14. Orda, A., Rom, R.: Shortest-path and minimum-delay algorithms in networks with time-dependent edge-length. J. ACM 37(3), 607–625 (1990)

    Article  MathSciNet  Google Scholar 

  15. Orda, A., Rom, R.: Minimum weight paths in time-dependent networks. Networks 21(3), 295–319 (1991)

    Article  MathSciNet  Google Scholar 

  16. Pugliese, L.D.P., Guerriero, F.: A survey of resource constrained shortest path problems: Exact solution approaches. Networks 62(3), 183–200 (2013)

    Article  MathSciNet  Google Scholar 

  17. Statistisches Bundesamt: Beförderungsmenge und Beförderungsleistung nach Verkehrsträgern (in German). https://www.destatis.de/DE/Themen/Branchen-Unternehmen/Transport-Verkehr/Gueterverkehr/Tabellen/gueterbefoerderung-lr.html. Accessed 24 June 2019

  18. Thomas, B.W., Calogiuri, T., Hewitt, M.: An exact bidirectional A* approach for solving resource-constrained shortest path problems. Networks 73(2), 187–205 (2019)

    Article  MathSciNet  Google Scholar 

  19. Union Internationale des Chemins de fer: UIC Code 406, Capacity (2004)

    Google Scholar 

  20. Weiß, R., Opitz, J., Nachtigall, K.: A novel approach to strategic planning of rail freight transport. In: Helber, S., et al. (eds.) Operations Research Proceedings 2012. ORP, pp. 463–468. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-00795-3_69

    Chapter  Google Scholar 

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Correspondence to Rebecca Haehn .

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Haehn, R., Ábrahám, E., Nießen, N. (2020). Freight Train Scheduling in Railway Systems. In: Hermanns, H. (eds) Measurement, Modelling and Evaluation of Computing Systems. MMB 2020. Lecture Notes in Computer Science(), vol 12040. Springer, Cham. https://doi.org/10.1007/978-3-030-43024-5_14

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  • DOI: https://doi.org/10.1007/978-3-030-43024-5_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-43023-8

  • Online ISBN: 978-3-030-43024-5

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