Lane-based optimization method for minimizing delay of isolated signal-controlled junctions

Abstract

This paper presents a lane-based optimization method for the integrated design of lane markings and signal settings for isolated junctions, in which the integer variables include the permitted movements on traffic lanes and successor functions to govern the order of signal displays, whereas the continuous variables include the assigned lane flows, common flow multiplier, cycle length, and starts and durations of green for traffic lanes. A set of constraints is set up to ensure feasibility and safety of the resulting optimal lane markings and signal settings. The delay minimization problem for fixed-time traffic signal at isolated junctions is solved by two heuristic algorithms. A numerical example is used to test the effectiveness of these algorithms.