This project addresses various aspects of congestion and robust design of public transport line systems by evaluating passenger waiting processes at line stations/stops and variability in inter-arrival times. The models developed take into account the level of demand given in the form of trip origin-destination matrices.
Objectives:
- Analysis and development of a model based on mathematical programming for the establishment of frequencies in public transport lines (urban bus and subway lines) in a context of dynamic demand that takes into account line congestion. The development of computationally feasible methods for dealing with large networks is contemplated.
- Development of simulation programs to evaluate the waiting processes of passengers at stations/stops of the lines, the waiting processes of units at stations/stops, the influence on the variability in the times between arrivals of units at stations/stops and also the effects of overlapping between consecutive arrivals at stops (bus-bunching).
- (in collaboration with UPM) Robust design model for commuter and metro networks, taking into account a set of disruption scenarios and their associated probabilities. The model contemplates that the probabilities are a function of the service demand of the designed network.
- Estimation of the dynamic demand between stations of public transport lines with special attention to commuter networks using Kalman filters.