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Stochastic Improvement of Cyclic Railway Timetables

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Author Info
Kroon, L.G.
Dekker, R.
Maroti, G.
Retel Helmrich, M.
Vromans, M.J.C.M. (Erasmus Research Institute of Management (ERIM), RSM Erasmus University)

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Abstract

Real-time railway operations are subject to stochastic disturbances. However, a railway timetable is a deterministic plan. Thus a timetable should be designed in such a way that it can cope with the stochastic disturbances as well as possible. For that purpose, a timetable usually contains time supplements in several process times and buffer times between pairs of consecutive trains. This paper describes a Stochastic Optimization Model that can be used to allocate the time supplements and the buffer times in a given timetable in such a way that the timetable becomes maximally robust against stochastic disturbances. The Stochastic Optimization Model was tested on several instances of NS Reizigers, the main operator of passenger trains in the Netherlands. Moreover, a timetable that was computed by the model was operated in practice in a timetable experiment on the so-called “Zaanlijnâ€. The results show that the average delays of trains can often be reduced significantly by applying relatively small modifications to a given timetable.

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Paper provided by 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. in its series Research Paper with number ERS-2006-067-LIS Revision_Date: 2009-12-05.

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Date of creation: 20 Dec 2006
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Handle: RePEc:dgr:eureri:30009338

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Related research
Keywords: Railway Timetabling; Stochastic Optimization; Robustness;

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This paper has been announced in the following NEP Reports: References listed on IDEAS
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  1. Carey, Malachy, 1999. "Ex ante heuristic measures of schedule reliability," Transportation Research Part B: Methodological, Elsevier, vol. 33(7), pages 473-494, September. [Downloadable!] (restricted)
  2. Kroon, L.G. & Dekker, R. & Vromans, M.J.C.M., 2005. "Cyclic Railway Timetabling: a Stochastic Optimization Approach," Research Paper ERS-2005-051-LIS Revision, 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. [Downloadable!]
  3. Hallowell, Susan F. & Harker, Patrick T., 1998. "Predicting on-time performance in scheduled railroad operations: methodology and application to train scheduling," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(4), pages 279-295, May. [Downloadable!] (restricted)
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