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The Problem of the Amber Signal Light in Traffic Flow

Author

Listed:
  • Denos Gazis

    (Research Laboratories, General Motors Corporation, Warren, Michigan)

  • Robert Herman

    (Research Laboratories, General Motors Corporation, Warren, Michigan)

  • Alexei Maradudin

    (Research Laboratories, General Motors Corporation, Warren, Michigan)

Abstract

A theoretical analysis and observations of the behavior of motorists confronted by an amber signal light are presented. A discussion is given of the following problem when confronted with an improperly timed amber light phase a motorist may find himself, at the moment the amber phase commences, in the predicament of being too close to the intersection to stop safely or comfortably and yet too far from it to pass completely through the intersection before the red signal commences. The influence on this problem of the speed of approach to the intersection is analyzed. Criteria are presented for the design of amber signal light phases through whose use such “dilemma zones” can be avoided, in the interest of over-all safety at intersections.

Suggested Citation

  • Denos Gazis & Robert Herman & Alexei Maradudin, 1960. "The Problem of the Amber Signal Light in Traffic Flow," Operations Research, INFORMS, vol. 8(1), pages 112-132, February.
    • Handle: RePEc:inm:oropre:v:8:y:1960:i:1:p:112-132
    DOI: 10.1287/opre.8.1.112
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    Citations

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    Cited by:

    1. Lu, Guangquan & Wang, Yunpeng & Wu, Xinkai & Liu, Henry X., 2015. "Analysis of yellow-light running at signalized intersections using high-resolution traffic data," Transportation Research Part A: Policy and Practice, Elsevier, vol. 73(C), pages 39-52.
    2. Moon, Young J. & Coleman, Fred, 2003. "Dynamic dilemma zone based on driver behavior and car-following model at highway-rail intersections," Transportation Research Part B: Methodological, Elsevier, vol. 37(4), pages 323-344, May.
    3. Juan Li & Qinglian He & Hang Zhou & Yunlin Guan & Wei Dai, 2016. "Modeling Driver Behavior near Intersections in Hidden Markov Model," IJERPH, MDPI, vol. 13(12), pages 1-15, December.
    4. Ventevogel, W.J., 1978. "On the configuration of a one-dimensional system of interacting particles with minimum potential energy per particle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 92(3), pages 343-361.
    5. Denos C. Gazis, 2002. "The Origins of Traffic Theory," Operations Research, INFORMS, vol. 50(1), pages 69-77, February.
    6. Felderhof, B.U., 1985. "Wigner solids and diffusion controlled reactions in a regular array of spheres," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 130(1), pages 34-56.
    7. Bara’ W. AL-MISTAREHI & Ahmad H. ALOMARI & Mohammed T. OBAIDAT & Areen A. AL-JAMMAL, 2021. "Driver Performance Through The Yellow Phase Using Video Cameras At Urban Signalized Intersections," Transport Problems, Silesian University of Technology, Faculty of Transport, vol. 16(1), pages 51-64, March.
    8. Grimm, Markus & Wagner, Max, 1994. "Mode densities of defect lines in three-dimensional Montroll-Potts lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(1), pages 1-23.
    9. Bao, Ji & Chen, Qun & Luo, Dandan & Wu, Yuli & Liang, Zuli, 2018. "Exploring the impact of signal types and adjacent vehicles on drivers’ choices after the onset of yellow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 222-236.
    10. Tomasz Krukowicz & Krzysztof Firląg & Józef Suda & Mirosław Czerliński, 2021. "Analysis of the Impact of Countdown Signal Timers on Driving Behavior and Road Safety," Energies, MDPI, vol. 14(21), pages 1-33, October.
    11. Juan Li & Xudong Jia & Chunfu Shao, 2016. "Predicting Driver Behavior during the Yellow Interval Using Video Surveillance," IJERPH, MDPI, vol. 13(12), pages 1-15, December.
    12. Wagner, Max & Mougios, Theodor, 1990. "Thermodynamics of mesoscopic soft modes in strongly disturbed lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 166(2), pages 229-262.
    13. Venema, P. & Bedeaux, D., 1989. "Reaction-diffusion on a periodic array of penetrable spherical sinks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 156(3), pages 835-852.

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