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Integrating Timetabling and Crew

Author

Listed:
  • Bach, L.
  • Dollevoet, T.A.B.
  • Huisman, D.

Abstract

We investigate to what degree we can integrate a Train Timetabling / Engine Scheduling Problem with a Crew Scheduling Problem. In the Timetabling Problem we design a timetable for the desired lines by fixing the departure and arrival times. Also, we allocate time-slots in the network to secure a feasible timetable. Next, we assign engines in the Engine Scheduling Problem to the lines in accordance with the timetable. The overall integration is achieved by obtaining an optimal solution for the Timetabling / Engine Scheduling Problem. We exploit the fact that numerous optimal, and near optimal solutions exists. We consider all solutions that can be obtained from the optimal engine schedule by altering the timetable, while keeping the order of demands in the schedules intact. The Crew Scheduling model is allowed to re-time the service of demands if the additional cost is outweighed by the crew savings. This information is implemented in a mathematical model for the Crew Scheduling Problem. The model is solved using a column generation scheme. Hereby it is possible for the Crew Scheduling algorithm to adjust the timetable and achieve a better overall solution. We perform computational experiments based on a case at a freight railway operator, DB Schenker Rail Scandinavia, and show that significant cost savings can be achieved.

Suggested Citation

  • Bach, L. & Dollevoet, T.A.B. & Huisman, D., 2014. "Integrating Timetabling and Crew," Econometric Institute Research Papers EI 2014-03, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:51318
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    References listed on IDEAS

    as
    1. Huisman, D. & Freling, R. & Wagelmans, A.P.M., 2003. "Multiple-Depot Integrated Vehicle and Crew Scheduling," Econometric Institute Research Papers EI 2003-02, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    2. 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.
    3. Potthoff, D. & Huisman, D. & Desaulniers, G., 2008. "Column generation with dynamic duty selection for railway crew rescheduling," Econometric Institute Research Papers EI 2008-28, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    4. Freling, R. & Huisman, D. & Wagelmans, A.P.M., 2000. "Models and algorithms for Integration of Vehicle and Crew Scheduling," ERIM Report Series Research in Management ERS-2000-14-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
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    Keywords

    railway crew planning; vehicle and crew scheduling; partial integration; tome windows; branch-and-price;
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