Highlights Develop integer programming models to design train timetables in a heavily congested urban rail corridor. Analytically calculate effective passenger loading time periods under dynamic demand patterns. Calculate time-dependent waiting times under oversaturated conditions. Propose gradient-based and genetic algorithms for optimizing timetables.
Abstract This article focuses on optimizing a passenger train timetable in a heavily congested urban rail corridor. When peak-hour demand temporally exceeds the maximum loading capacity of a train, passengers may not be able to board the next arrival train, and they may be forced to wait in queues for the following trains. A binary integer programming model incorporated with passenger loading and departure events is constructed to provide a theoretic description for the problem under consideration. Based on time-dependent, origin-to-destination trip records from an automatic fare collection system, a nonlinear optimization model is developed to solve the problem on practically sized corridors, subject to the available train-unit fleet. The latest arrival time of boarded passengers is introduced to analytically calculate effective passenger loading time periods and the resulting time-dependent waiting times under dynamic demand conditions. A by-product of the model is the passenger assignment with strict capacity constraints under oversaturated conditions. Using cumulative input–output diagrams, we present a local improvement algorithm to find optimal timetables for individual station cases. A genetic algorithm is developed to solve the multi-station problem through a special binary coding method that indicates a train departure or cancellation at every possible time point. The effectiveness of the proposed model and algorithm are evaluated using a real-world data set.
Optimizing urban rail timetable under time-dependent demand and oversaturated conditions
Tramsportation Research, Part C: Emerging Technologies ; 36 ; 212-230
2013-08-29
19 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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