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A Technique for Control of Traffic at Critical Intersections

Author

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  • Robert L. Gordon

    (Sperry Systems Management Division, Great Neck, New York)

Abstract

An algorithm for control of queue lengths at oversaturated intersections oriented towards delaying spillback across upstream intersections as long as possible is described. It is based on determining the change in queue and the allotment of available green time so as to keep the ratio of the actual queues to the maximum link storage space on both phases equal. The mathematical development of the algorithm is described in terms of a Z transform analysis, and the conditions for stability are derived. The resulting mathematical model is linear with the exception of a saturation type nonlinearity caused by the physical requirement to limit split. A describing function analysis is used to demonstrate loop stability in the presence of the nonlinearity.

Suggested Citation

  • Robert L. Gordon, 1969. "A Technique for Control of Traffic at Critical Intersections," Transportation Science, INFORMS, vol. 3(4), pages 279-288, November.
    • Handle: RePEc:inm:ortrsc:v:3:y:1969:i:4:p:279-288
    DOI: 10.1287/trsc.3.4.279
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    Cited by:

    1. Manuela Di Mauro & Kusnowidjaia Megawati & Veronica Cedillos & Brian Tucker, 2013. "Tsunami risk reduction for densely populated Southeast Asian cities: analysis of vehicular and pedestrian evacuation for the city of Padang, Indonesia, and assessment of interventions," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 68(2), pages 373-404, September.
    2. Abu-Lebdeh, Ghassan & Benekohal, Rahim F., 2003. "Design and evaluation of dynamic traffic management strategies for congested conditions," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(2), pages 109-127, February.

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