A mathematical model determining additional trains into current timetable under operational restrictions of a railway station

This paper deals with a special version of train platforming problem, which contains a case study in Prague main railway station. In this version, a mathematical model that is called analyzing model is proposed for determining number of candidate trains which can be added into the current schedule. The outputs of analyzing model guarantee that trains in existing timetable should be assigned without delay and conflicts and candidate trains can be assigned to available platform tracks subject to station capacity and safety restrictions. To show efficiency of mathematical model that is implemented in GAMS, it is tested based on data related to the Prague main railway station. Experimental results of model are presented and discussed.