A Hybrid Control Delay Model Combining Control Delay and Queuing Profile at Uncongested Signalized Intersections

In this paper a control delay model with queuing profile is presented. There are two major performance measures regarding signalized intersections: control delay and maximum queue length. Most control delay models are derived from the vehicle cumulative counting curves whereas most queuing profiles at signalized intersections are based on the vehicles' temporal-spatial diagram. Since the control delay and queue length are highly correlated, there is a need for an integrated model which considers the control delay and the queuing profile together. We started from the conventional vehicle cumulative counting curves and then superimpose a dynamic queue-end curve based on the queuing profile. From the arrival, queue-end and departure curves, the time points when an individual vehicle joins the queue, moves again and passes the stop line can all be calculated. The dynamic queue length over time and average control delay can be derived as well.