The traditional two-term analytical model for predicting delays, queues and stops with random arrivals as found at isolated signalized intersections is extended to the case of platooned arrivals. The work was carried out in the context of modelling traffic performance at signalized paired intersections. A cycle-by-cycle macroscopic simulation model was used to calibrate the overflow terms of the performance formulae for a single stream of platooned arrivals at the downstream approach of a paired intersection system. The steady-state form of the analytical model was used for calibration. The parameters derived for the steady-state model are then used in the time-dependent form of the model. Descriptions of the general analytical model, the cycle-by-cycle simulation model, its validation against several well-known models are presented, and the new models derived from the study are described. Extension of the model to multistream, multiphase applications are discussed and areas of further study are identified.
AKÇELIK, R. and ROUPHAIL, N.M. (1994). Overflow Queues and Delays with Random and Platooned Arrivals at Signalized Intersections. Journal of Advanced Transportation, Vol.28, No. 3, pp 227-251.