ANALYTICAL STOCHASTIC MODELLING FOR THE CONTROL OF INTERSECTIONS IN AUTOMATED GUIDEWAY SYSTEMS.

This paper attempts to find the fundamental input-output flow patterns resulting from the control of the merge of discrete flows. The methodology employed is generally applicable to any interchange having two incoming lines of discrete traffic and two outgoing lines of flow given that the statistical properties for the two incoming lines are known. Two different types of general interchange control strategies are considered. The first strategy resolves possible conflicts on-line under the constraint threshold. The second strategy assumes that vehicles are allowed to enter the turning lane until the queue exceeds a certain capacity. Assuming Poisson arrival rates, stochastic models are developed for each strategy.