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Delay Management including Capacities of Stations

Author

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  • Dollevoet, T.A.B.
  • Huisman, D.
  • Schöbel, A.
  • Schmidt, M.E.

Abstract

The question of delay management is whether trains should wait for delayed feeder trains or should depart on time. Solutions to this problem strongly depend on the available capacity of the railway infrastructure. While the limited capacity of the tracks has been considered in delay management models, the limited capacity of the stations has been neglected so far. In this paper, we develop a model for the delay management problem that includes the stations’ capacities. This model allows to reschedule the platform assignment dynamically. Furthermore, we propose an iterative algorithm in which we first solve the delay management model with a fixed platform assignment and then improve this platform assignment in each step. We show that the latter problem can be solved in polynomial time by presenting a totally unimodular IP formulation. Finally, we present an extension of the model that balances the delay of the passengers on the one hand and the number of changes in the platform assignment on the other. All models are evaluated on real-world instances from Netherlands Railways.

Suggested Citation

  • Dollevoet, T.A.B. & Huisman, D. & Schöbel, A. & Schmidt, M.E., 2012. "Delay Management including Capacities of Stations," Econometric Institute Research Papers EI 2012-22, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:37239
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    References listed on IDEAS

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    1. Michael Schachtebeck & Anita Schöbel, 2010. "To Wait or Not to Wait---And Who Goes First? Delay Management with Priority Decisions," Transportation Science, INFORMS, vol. 44(3), pages 307-321, August.
    2. Heilporn, Géraldine & De Giovanni, Luigi & Labbé, Martine, 2008. "Optimization models for the single delay management problem in public transportation," European Journal of Operational Research, Elsevier, vol. 189(3), pages 762-774, September.
    3. Dollevoet, T.A.B. & Huisman, D., 2011. "Fast Heuristics for Delay Management with Passenger Rerouting," Econometric Institute Research Papers EI 2011-35, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
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    5. Anita Schöbel, 2006. "Optimization in Public Transportation," Springer Optimization and Its Applications, Springer, number 978-0-387-36643-2, September.
    6. Andreas Ginkel & Anita Schöbel, 2007. "To Wait or Not to Wait? The Bicriteria Delay Management Problem in Public Transportation," Transportation Science, INFORMS, vol. 41(4), pages 527-538, November.
    7. D'Ariano, Andrea & Pacciarelli, Dario & Pranzo, Marco, 2007. "A branch and bound algorithm for scheduling trains in a railway network," European Journal of Operational Research, Elsevier, vol. 183(2), pages 643-657, December.
    8. Sven Krumke & Clemens Thielen & Christiane Zeck, 2011. "Extensions to online delay management on a single train line: new bounds for delay minimization and profit maximization," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 74(1), pages 53-75, August.
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    10. Mascis, Alessandro & Pacciarelli, Dario, 2002. "Job-shop scheduling with blocking and no-wait constraints," European Journal of Operational Research, Elsevier, vol. 143(3), pages 498-517, December.
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    Cited by:

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    3. Gao, Yuan & Kroon, Leo & Yang, Lixing & Gao, Ziyou, 2018. "Three-stage optimization method for the problem of scheduling additional trains on a high-speed rail corridor," Omega, Elsevier, vol. 80(C), pages 175-191.
    4. Yung-Hsiang Cheng & Yu-Chun Tsai, 2014. "Train delay and perceived-wait time: passengers' perspective," Transport Reviews, Taylor & Francis Journals, vol. 34(6), pages 710-729, November.
    5. Bettinelli, Andrea & Santini, Alberto & Vigo, Daniele, 2017. "A real-time conflict solution algorithm for the train rescheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 237-265.
    6. Corman, Francesco & D’Ariano, Andrea & Marra, Alessio D. & Pacciarelli, Dario & Samà, Marcella, 2017. "Integrating train scheduling and delay management in real-time railway traffic control," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 105(C), pages 213-239.
    7. Cacchiani, V. & Huisman, D. & Kidd, M.P. & Kroon, L.G. & Toth, P. & Veelenturf, L.P. & Wagenaar, J.C., 2013. "An Overview of Recovery Models for Real-time Railway Rescheduling," Econometric Institute Research Papers 50112, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    8. Dekker, M.M. & van Lieshout, R.N. & Ball, R.C. & Bouman, P.C. & Dekker, S.C. & Dijkstra, H.A. & Goverde, R.M.P. & Huisman, D. & Panja, D. & Schaafsma, A.M. & van den Akker, M., 2018. "A Next Step in Disruption Management: Combining Operations Research and Complexity Science," Econometric Institute Research Papers EI2018-25, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.

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