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Integrated Periodic Timetabling and Vehicle Circulation Scheduling

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  • van Lieshout, R.N.

Abstract

Periodic timetabling is one of the most well researched problems in the public transport optimization literature. However, the impact timetabling has on the number of required vehicles, which directly translates to operator costs, is rarely considered. Therefore, in this paper, we consider the problem of jointly optimizing the timetable and the vehicle circulation schedule, which specifies the cyclic sequences of trips vehicles perform. In order to be able to solve realistic instances, we improve an earlier proposed formulation by contraction techniques, valid inequalities and symmetry-breaking constraints. Ultimately, this allows us to explore the trade-off between the number of vehicles and the attractiveness of the timetable from the passengers' perspective. An extensive computational study demonstrates the effectiveness of the improved formulation. Moreover, using this approach we are able to find timetables requiring substantially fewer vehicles at the cost of minimal increases of the average travel time of passengers.

Suggested Citation

  • van Lieshout, R.N., 2019. "Integrated Periodic Timetabling and Vehicle Circulation Scheduling," Econometric Institute Research Papers EI2019-27, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:118655
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    References listed on IDEAS

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    1. Polinder, G.-J. & Breugem, T. & Dollevoet, T.A.B. & Maróti, G., 2019. "An Adjustable Robust Optimization Approach for Periodic Timetabling," Econometric Institute Research Papers EI2019-01, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    2. Christian Liebchen, 2008. "The First Optimized Railway Timetable in Practice," Transportation Science, INFORMS, vol. 42(4), pages 420-435, November.
    3. 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.
    4. Desfontaines, Lucie & Desaulniers, Guy, 2018. "Multiple depot vehicle scheduling with controlled trip shifting," Transportation Research Part B: Methodological, Elsevier, vol. 113(C), pages 34-53.
    5. Polinder, G.-J. & Breugem, T. & Dollevoet, T.A.B. & Maróti, G., 2019. "An Adjustable Robust Optimization Approach for Periodic Timetabling," Econometric Institute Research Papers EI2019-01, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    6. Polinder, Gert-Jaap & Breugem, Thomas & Dollevoet, Twan & Maróti, Gábor, 2019. "An adjustable robust optimization approach for periodic timetabling," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 50-68.
    7. Mor Kaspi & Tal Raviv, 2013. "Service-Oriented Line Planning and Timetabling for Passenger Trains," Transportation Science, INFORMS, vol. 47(3), pages 295-311, August.
    8. Fonseca, João Paiva & van der Hurk, Evelien & Roberti, Roberto & Larsen, Allan, 2018. "A matheuristic for transfer synchronization through integrated timetabling and vehicle scheduling," Transportation Research Part B: Methodological, Elsevier, vol. 109(C), pages 128-149.
    9. Odijk, Michiel A., 1996. "A constraint generation algorithm for the construction of periodic railway timetables," Transportation Research Part B: Methodological, Elsevier, vol. 30(6), pages 455-464, December.
    10. Ibarra-Rojas, Omar J. & Giesen, Ricardo & Rios-Solis, Yasmin A., 2014. "An integrated approach for timetabling and vehicle scheduling problems to analyze the trade-off between level of service and operating costs of transit networks," Transportation Research Part B: Methodological, Elsevier, vol. 70(C), pages 35-46.
    11. James B. Orlin, 1982. "Minimizing the Number of Vehicles to Meet a Fixed Periodic Schedule: An Application of Periodic Posets," Operations Research, INFORMS, vol. 30(4), pages 760-776, August.
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    Cited by:

    1. van Lieshout, R.N. & Bouman, P.C. & van den Akker, M. & Huisman, D., 2020. "A Self-Organizing Policy for Vehicle Dispatching in Public Transit Systems with Multiple Lines," Econometric Institute Research Papers EI2020-06, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.

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