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TRAFFIC QUEUE CAUSED BY A SINGLE INTERRUPTION

Traffic queue formed when a stochastic vehicle stream is interrupted by a single duration of blockage, or of red signal, is analysed. It is assumed that the delayed vehicles depart with constant intervals when the interruption is terminated. The probability distribution of the number of delayed vehicles, the moments of that distribution and the expected total delay are obtained using Wa1d's identity in sequential analysis. The expressions for those quantities are rigorous with a Poisson input stream and are approximated with the general input stream. In addition, the influence of initial condition of interruption is discussed with relation to the bounds on mean number of de­ layed vehicles.