A constraint generation algorithm for the construction of periodic railway timetables
This 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.
If 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.
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|
|Order Information:|| Postal: http://www.elsevier.com/wps/find/supportfaq.cws_home/regional|
References listed on IDEAS
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.
- Gertsbakh, Ilya & Serafini, Paolo, 1991. "Periodic transportation schedules with flexible departure times : An interactive approach based on the periodic event scheduling problem and the deficit function approach," European Journal of Operational Research, Elsevier, vol. 50(3), pages 298-309, February.