To simulate a transit system two approaches can be used: a line approach where all runs belonging to the same line are simulated in a single infrastructure line; a run approach where the single runs are explicitly simulated. Assignment models simulate how origin-destination demand flows affect link flows and resulting performances. Traffic assignment models in transit systems are generally made up by two different approaches: a frequency approach for high frequency services to simulate the user’s behaviour and considering line approach to simulate the supply; a schedule-based approach for low frequency services to simulate the user’s behaviour and considering run approach to simulate the supply. Recently the schedule-based approach has und...