A new vehicle queue model is developed in which the arrival rules are changed so that the distances between the rears and fronts of successive vehicles are independent, exponentially distributed, random variables. Satisfactory results are possible despite the fact that the equivalent queue of lengthless queers has some dependants between inter-arrival time and service time variables. The results concerning queue extent are of interest in connection with the possible blocking of an upstream intersection by a traffic signal queue or by blocking of an entrance ramp by a queue originating at an accident downstream on an expressway. Properties of the busy period total delay during a busy period, and chains of queues are also given for this model.
Abstract