Hindawi Mathematical Problems in Engineering Volume 2021, Article ID 3876561, 17 pages https://doi.org/10.1155/2021/3876561 Research Article Time Coordination of Periodic Passenger Train Connections in Conditions of Single-Track Lines Filip Lorenz,1 Vit Janos,2 Dusan Teichmann,2,3 and Michal Dorda 3 1Department of Control Systems and Instrumentation, Faculty of Mechanical Engineering, VSB–Technical University of Ostrava, 17. listopadu 2172/15, 708 00 Ostrava-Poruba, Czech Republic 2Department of Logistics and Management of Transport, Faculty of Transportation Sciences, CTU in Prague, Konviktska 20, 110 00 Prague, Czech Republic 3Institute of Transport, Faculty of Mechanical Engineering, VSB–Technical University of Ostrava, 17. listopadu 2172/15, 708 00 Ostrava-Poruba, Czech Republic Correspondence should be addressed to Michal Dorda;
[email protected] Received 30 June 2020; Revised 12 January 2021; Accepted 6 February 2021; Published 9 March 2021 Academic Editor: Luca D'Acierno Copyright © 2021 Filip Lorenz et al. )is is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. )e article addresses creation of a mathematical model for a real problem regarding time coordination of periodic train connections operated on single-track lines. )e individual train connections are dispatched with a predefined tact, and their arrivals at and departures to predefined railway stations (transfer nodes) need to be coordinated one another. In addition, because the train connections are operated on single-track lines, trains that pass each other in a predefined railway stations must be also coordinated.