Suppose that signals on a two-way main street are constrained to operate with a common cycle time and equal splits. We wish to choose the offsets so as to minimized both the total delay and the total number of spots to the main-street traffic. The problem of estimating these offsets is, in general, quite complicated, but if the flows in both directions are at saturation, the optimal offset between a pair of adjacent signals does not depend upon the offsets between other pairs of signals. The mathematical problem reduces to an analysis of delays and stops between only a single pair of intersections.
Abstract