Abstract: A road traffic signal timing system could be corresponds to a polling model. For a queue with a large number of vehicles, under the exhaustive service, the corresponding traffic light will state on green for a long time to empty the queue, vise engender frequent switchover. Motivated by this problem, the timing strategy with minimum and maximum green times for each phase was proposed, which was modeled as a time limited polling system, and then the average queue length at the beginning of green period was analyzed to calculate the green times by the Markova chain and Generation Function method. The effectiveness of the proposed methods was verified by the simulation.

Key words: intelligent transportation, signal timing, polling system, mean queue length