Rescheduling Traffic on a Partially Blocked Segment of Railway with a Siding

© 2020, Pleiades Publishing, Ltd. The paper presents a polynomial-time algorithm for rescheduling traffic when one track of a double-track railway becomes unavailable, the remaining track has a siding, and there are two categories of trains—priority trains such as passenger trains and ordinary trains such as the majority of freight trains. The presented algorithm minimises the negative effect, caused by the track blockage, first for the priority trains and then for the ordinary trains on the set of all schedules optimal for the priority trains

Scheduling the Two-Way Traffic on a Single-Track Railway with a Siding

© 2018, Pleiades Publishing, Ltd. The paper is concerned with scheduling the two-way traffic between two stations connected by a single-track railway with a siding. It is shown that if, for each station, the order in which trains leave this station is known or can be found, then for various objective functions an optimal schedule can be constructed in polynomial time using the method of dynamic programming. Based on this result, the paper also presents a polynomial-time algorithm minimising the weighted number of late trains

Two-Station Single Track Scheduling Problem

© 2016 Single track segments are common in various railway networks, in particular in various supply chains. For such a segment, connecting two stations, the trains form two groups, depending on what station is the initial station for the journey between these two stations. Within a group the trains differ by their cost functions. It is assumed that the single track is sufficiently long so several trains can travel in the same direction simultaneously. The paper presents polynomial-time algorithms for different versions of this two-station train scheduling problem with a single railway track. The considered models differ from each other by their objective functions