Using a sample-based representation scheme to capture spatial and temporal travel time correlations, this article constructs an integer programming model for finding the a priori least expected time paths. We explicitly consider the non-anticipativity constraint associated with the a priori path...

This paper presents an improved simulation method for solving the train scheduling problem to reduce the total travel time on the single-track railway. An algorithm based on the global information of the train is designed to obtain a more effective travel advance strategy of the train than the...

This paper addresses the problem of train conflict detection and resolution, which is dealt every day by traffic controllers to adapt the timetable to delays and other unpredictable events occurring in real-time. We describe a number of algorithmic improvements implemented in the real-time...