Abstract Setting traffic light signals is a classical topic in traffic engineering, and important in heavy-traffic conditions when green times become scarce and longer queues are inevitably formed. For the fixed-cycle traffic-light queue, an elementary queueing model for one traffic light with cyclic signaling, we obtain heavy-traffic limits that capture the long-term queue behavior. We leverage the limit theorems to obtain sharp performance approximations for one queue in heavy traffic. We also consider optimization problems that aim for optimal division of green times among multiple conflicting traffic streams. We show that inserting heavy-traffic approximations leads to tractable optimization problems and close-to-optimal signal prescriptions.

    Highlights Heavy-traffic analysis of long-term queueing behavior of fixed-cycle traffic lights. Special limiting regime with high load and non-zero delay probability. Sharp performance approximations for one traffic queue in heavy traffic. Easy prescription of close-to-optimal green times for conflicting traffic flows.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Optimal capacity allocation for heavy-traffic fixed-cycle traffic-light queues and intersections


    Contributors:


    Publication date :

    2022-11-18


    Size :

    20 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    Capacity at Intersections Without Traffic Signals

    Brilon, Werner | Online Contents | 2005


    Capacity at Intersections without Traffic Signals

    Brilon, Werner / Miltner, Thorsten | Transportation Research Record | 2019


    Capacity at Intersections Without Traffic Signals

    Brilon, Werner / Miltner, Thorsten | Transportation Research Record | 2005


    Capacity analysis of traffic-actuated intersections

    Tian, Zhili, 1965- | DSpace@MIT | 2002

    Free access

    Traffic capacity reduction at signalized intersections

    Lu, J. J. / Pernia, J. C. / Canadian Society for Civil Engineering | British Library Conference Proceedings | 2000