A solution to the transit assignment problem

This paper describes a capacity constrained frequency- or headway-based transit assignment model which, by relaxing the assumption of flow conservation, can consider within-day dynamics. The probability of failing to board a service due to insufficient capacity is taken into account in route choice. Passengers mingle on platforms, so that the probability of failing to board a service is not a function of origin, destination or time of arrival at the platform. The presence of common lines is not taken into account. An example demonstrates the impact of the capacity constraint on the number of passengers boarding at each stop when passengers make risk-averse route choices.