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Delay Management with Rerouting of Passengers

Author

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  • Twan Dollevoet

    (Econometric Institute and ECOPT, Erasmus University Rotterdam, NL-3000 DR Rotterdam, The Netherlands; and Process Quality and Innovation, Netherlands Railways, NL-3500 HA Utrecht, The Netherlands)

  • Dennis Huisman

    (Econometric Institute and ECOPT, Erasmus University Rotterdam, NL-3000 DR Rotterdam, The Netherlands; and Process Quality and Innovation, Netherlands Railways, NL-3500 HA Utrecht, The Netherlands)

  • Marie Schmidt

    (Institute for Numerical and Applied Mathematics, Georg-August University, D-37083 Göttingen, Germany)

  • Anita Schöbel

    (Institute for Numerical and Applied Mathematics, Georg-August University, D-37083 Göttingen, Germany)

Abstract

The question of delay management (DM) is whether trains should wait for a delayed feeder train or should depart on time. In classical DM models, passengers are assumed to take their originally planned routes. After the wait-depart decisions are made, passengers will certainly change to the best-possible route according to these decisions. In this paper, we propose a model where such a rerouting of passengers is incorporated in the DM process. To describe the problem, we represent it as an event-activity network similar to the one used in classical DM, with some additional events to incorporate origin and destination of the passengers. We present an integer programming formulation of this problem. Furthermore, we discuss the variant in which we assume fixed costs for maintaining connections, and we present a polynomial algorithm for the special case of only one origin-destination pair that we later use to derive a strong lower bound for the integer program. Finally, computational experiments based on real-world data from Netherlands Railways show that significant improvements with respect to the passengers' traveling times can be obtained by taking the rerouting of passengers into account in the model.

Suggested Citation

  • Twan Dollevoet & Dennis Huisman & Marie Schmidt & Anita Schöbel, 2012. "Delay Management with Rerouting of Passengers," Transportation Science, INFORMS, vol. 46(1), pages 74-89, February.
    • Handle: RePEc:inm:ortrsc:v:46:y:2012:i:1:p:74-89
    DOI: 10.1287/trsc.1110.0375
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    References listed on IDEAS

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    1. Leo Kroon & Dennis Huisman & Erwin Abbink & Pieter-Jan Fioole & Matteo Fischetti & Gábor Maróti & Alexander Schrijver & Adri Steenbeek & Roelof Ybema, 2009. "The New Dutch Timetable: The OR Revolution," Interfaces, INFORMS, vol. 39(1), pages 6-17, February.
    2. Kroon, L.G. & Huisman, D. & Abbink, E.J.W. & Fioole, P-J. & Fischetti, M. & Maróti, G. & Schrijver, A. & Steenbeek, A. & Ybema, R., 2008. "The new Dutch timetable: The OR revolution," Econometric Institute Research Papers EI 2008-19, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    3. 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.
    4. 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.
    5. Christian Liebchen, 2008. "The First Optimized Railway Timetable in Practice," Transportation Science, INFORMS, vol. 42(4), pages 420-435, November.
    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.
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