Computing travel time on a single lane using system analysis

Prediction of accurate travel time plays an essential role in determining the best route for any trip. The varying input flows arriving at the entrances of the system combined with the capacity constraints of the lanes lead to continuously changing system states and therefore dynamic travel times on the network. To study the network dynamics under piecewise constant flows, we begin with a single lane system. The analysis of the behaviour of the system is done to derive the travel time from the characteristics of the lane, the input flow and the constraints on the output flow.