An Abbreviated Procedure for Estimating Equilibrium Queue Lengths in Rural Two Lane Traffic

On two-lane two-way roads overtaking opportunities are limited by the opposing traffic. For fixed volumes of traffic in both directions the opportunities for vehicles in one lane to overtake depend on the mean length of queues in the second lane, so that the mean queue length in the first lane is a function of the mean queue length in the second lane and vice versa. This paper takes an earlier procedure for determining the mean queue lengths in the two lanes at equilibrium and simplifies it by assuming that the distribution of queue lengths is known. The results,obtained by assuming that the underlying distribution is Miller, Borel-Tanner, or geometric are then compared by a numerical evaluation.