A probabilistic (max, +) approach for determining railway infrastructure capacity

A probabilistic (max, +) approach for determining railway infrastructure capacity

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Article ID: iaor20042743
Country: Netherlands
Volume: 148
Issue: 3
Start Page Number: 644
End Page Number: 661
Publication Date: Aug 2003
Journal: European Journal of Operational Research
Authors: , ,
Keywords: optimization, programming: mathematical
Abstract:

We consider the problem of determining the capacity of a planned railway infrastructure layout under uncertainties. In order to address the long-term nature of the problem in which the exact (future) demand of service is unknown, we develop a “timetable”-free approach to avoid the specification of a particular timetable. We consider a generic infra-element that allows a concise representation of many different combinations of infrastructure, safety systems and traffic regimes, such as mixed double and single track lines (e.g., a double track line including a single tunnel tube), and train operations on partly overlapping routes at station yards. We translate the capacity assessment problem for such a generic infra-element into an optimization problem and provide a solution procedure. We illustrate our approach with a capacity assessment for the newly built high-speed railway line in The Netherlands.

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