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Traffic delays at a computer-controlled intersection

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Summary

This paper considers an intersection of one-way streets withPoisson arrival and general departure processes. The traffic light stays green in one direction until the queue in this arm has vanished. The transient behavior of queue lengths at switching points and the steady state distributions of the delays are given.

Zusammenfassung

Es wird eine Kreuzung von Einbahnstraßen untersucht mitPoisson-verteilten Ankunfts- und allgemeinen Abgangsprozessen. Die Ampel bleibt grün in einer Richtung, bis keine Fahrzeuge in dieser Richtung mehr warten. Es werden das Übergangsverhalten der Warteschlangen an Schaltzeitpunkten sowie die Grenzverteilungen der Wartezeiten angegeben.

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References

  • Avi-Itzhak, B., W. L. Maxwell, andL. W. Miller: Queueing with Alternating Priorities, Opns. Res.,13, 306–318, 1965.

    Google Scholar 

  • Darroch, J. N., G. F. Newell, andR. W. J. Morris: Queueing for a Vehicle-Actuated Traffic Light, Opns. Res.,12, 882–895, 1964.

    Google Scholar 

  • Dunne, M. C., andR. B. Potts: Algorithm for Traffic Control, Opns. Res.,12, 870–881, 1964.

    Google Scholar 

  • —: Traffic Delays at a Signalized Intersection with Binomial Arrivals, Trans. Sci.,1, 24–31, 1967.

    Google Scholar 

  • Grafton, R. B., andG. F. Newell: Optimal Policies for the Control of an Undersaturated Intersection, Proc. Third Internat. Symposium on the Theory of Traffic Flow, p. 239–257, New York, 1965.

  • Martin-Löf, A.: Computation of an Optimal Control for a Signalized Traffic Intersection, Trans. Sci.,1, 1–5, 1967.

    Google Scholar 

  • Mevert, P.: Priority Systems with Setup Times, Techn. Report No. 72, Opns. Res. Group, Case Institute of Technology, 1966.

  • Miller, L. W.: Alternating Priorities in Multi-Class Queues, (Ph. D. Dissertation, Department of Industrial Engineering, Cornell University, 1964).

  • Newell, G. F.: Properties of Vehicle-Actuated Signals, Trans. Sci.,3, 30–40, 1969.

    Google Scholar 

  • Potts, R. B.: Traffic Delays at a Signalized Intersection with Binomial Arrivals, Trans. Sci.,1, 126–128, 1967.

    Google Scholar 

  • Takacs, L.: Introduction to the Theory of Queues, Oxford University Press, New York, 1962.

    Google Scholar 

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Authors and Affiliations

  1. Department of Quantitative Analysis, University of Minnesota, School of Business Administration, 55455, Minneapolis, Minnesota

    P. Mevert (Associate Professor)

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  1. P. Mevert
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Mevert, P. Traffic delays at a computer-controlled intersection. Zeitschrift für Operations Research 16, 145–152 (1972). https://doi.org/10.1007/BF01963625

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  • DOI: https://doi.org/10.1007/BF01963625

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