Modeling and simulation of Railway traffic as a hybrid system

Purpose of the paper is to present a Model for the Railway traffic that consists of train arrivals and departures at different stations and also the people walking in stations, getting into trains and alighting. This is a good classical example of Hybrid system for which initially the existing models are looked at to discuss the drawbacks and the needs of models for this problem scenario. The model we consider here has been utilized to simulate the Railway traffic based on a schedule of the Train and People flow in the stations to analyze whether it can work without any conflicts, how it impacts the people movement and waiting, all in a single model and optimization of the schedule. With this, it is possible to calculate the ratio of the cost of running the train to the cost of people waiting and arrive at optimization for the scheduling of the train. All these are done with the assumed figures of people flow both on entry to the station till they get into the train and similarly the people flow from alighting the train till they walk out of the exits.