A constraint generation algorithm for the construction of periodic railway timetables
AbstractThis paper addresses the problem of constructing periodic timetables for train operations. We use a mathematical model consisting of periodic time window constraints by means of which arrival and departure times can be related pairwise on a clock, rather than on a linear time axis. Constructing a timetable, then, means solving a set of such constraints. This problem is known to be hard, i.e. it is NP-complete. We describe a new algorithm to solve the problem based on constraint generation and work out a real-life example. It appears that, for problem instances of modest, yet non-trivial, size, the algorithm performs very well, which opens a way to thorough performance analysis of railway systems by studying a large number of possible future timetables.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Transportation Research Part B: Methodological.
Volume (Year): 30 (1996)
Issue (Month): 6 (December)
Contact details of provider:
Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/548/description#description
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Serafini, Paolo & Ukovich, Walter, 1989. "A mathematical model for the fixed-time traffic control problem," European Journal of Operational Research, Elsevier, vol. 42(2), pages 152-165, September.
- Kroon, L.G. & Peeters, L.W.P. & Wagenaar, J.C. & Zuidwijk, R.A., 2012. "Flexible Connections in PESP Models for Cyclic Passenger Railway Timetabling," ERIM Report Series Research in Management ERS-2012-008-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 Uni.
- Dennis Huisman & Leo G. Kroon & Ramon M. Lentink & Michiel J. C. M. Vromans & Dennis Huisman & Leo G. Kroon & Ramon M. Lentink & Michiel J. C. M. Vromans, 2005.
"Operations Research in passenger railway transportation,"
Netherlands Society for Statistics and Operations Research, vol. 59(4), pages 467-497.
- Huisman, D. & Kroon, L.G. & Lentink, R.M. & Vromans, M.J.C.M., 2005. "Operations research in passenger railway transportation," Econometric Institute Research Papers EI 2005-16, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
- Huisman, D. & Kroon, L.G. & Lentink, R.M. & Vromans, M.J.C.M., 2005. "Operations Research in Passenger Railway Transportation," ERIM Report Series Research in Management ERS-2005-023-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 Uni.
- Chakroborty, Partha & Vikram, Durgesh, 2008. "Optimum assignment of trains to platforms under partial schedule compliance," Transportation Research Part B: Methodological, Elsevier, vol. 42(2), pages 169-184, February.
- Carey, Malachy & Carville, Sinead, 2003. "Scheduling and platforming trains at busy complex stations," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(3), pages 195-224, March.
- Cordone, Roberto & Redaelli, Francesco, 2011. "Optimizing the demand captured by a railway system with a regular timetable," Transportation Research Part B: Methodological, Elsevier, vol. 45(2), pages 430-446, February.
- Carey, Malachy & Crawford, Ivan, 2007. "Scheduling trains on a network of busy complex stations," Transportation Research Part B: Methodological, Elsevier, vol. 41(2), pages 159-178, February.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.