QUEUE LENGTH AND DELAY DISTRIBUTIONS AT TRAFFIC SIGNALS

Some new analytical results on statistical distributions of queue leng ths and delays at traffic signals are derived. For this purpose, the p robability generating function of the queue length distribution is dev eloped, from which the Laplace-transform of the delay distribution is obtained. A Poisson arrival process and fixed-time control are assumed . Similar techniques have successfully been employed to obtain the que ue-length and delay distributions at priority intersections. Thus, a u nified theory for both signalized and unsignalized intersections resul ts.