Timetabling of Metro Trains in a Dynamic Demand Situation Considering the Capacity of Trains and Stations on Peak and Off-Peak Times

This paper aims to propose a mathematical model to minimize the total waiting time of passengers in metro systems. The main contribution of this paper is considering the capacity of trains and stations, as well as the assumption of a constant interval for travelling between two successive stations. To reach this aim, the sum of dwell time and travel time is assumed constant. The dwell time is considered a function of the number of passengers who can board the train. To show the effectiveness of the proposed model, a numerical example is studied. The parameters of the metro system are considered according to Tehran Urban and Suburban Railway Operation Co. The results show the effect of an increase in the capacity of trains and the number of trains in reduction of the total waiting time. Furthermore, in this study, the best amount of Headway in order to minimize the waiting time is six minutes.