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Distribution of the maximum number of opposed turns in a signal cycle at fixed time traffic signals

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  • Mung, Gregory K. S.
  • Poon, Antonio C. K.
  • Lam, William H. K.
  • Ip, W. C.

Abstract

In this paper, the probability distribution of maximum number of opposed turns in a signal cycle is derived for a fixed time signalized intersection. Three cases have been studied separately. They are: (i) no turning vehicles can pass through the truncated gap, which occurs when the end of the effective green period falls in a gap of the opposing straightahead vehicles; (ii) at least one turning vehicle can pass through the truncated gap; and (iii) the end of the effective green period does not fall in a gap. The derived probability distribution can be utilized to improve the signal design for the opposed turning traffic.

Suggested Citation

  • Mung, Gregory K. S. & Poon, Antonio C. K. & Lam, William H. K. & Ip, W. C., 1998. "Distribution of the maximum number of opposed turns in a signal cycle at fixed time traffic signals," Transportation Research Part B: Methodological, Elsevier, vol. 32(6), pages 373-386, August.
    • Handle: RePEc:eee:transb:v:32:y:1998:i:6:p:373-386
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    References listed on IDEAS

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    1. Mung, Gregory K. S. & Poon, Antonio C. K. & Lam, William H. K., 1996. "Distributions of queue lengths at fixed time traffic signals," Transportation Research Part B: Methodological, Elsevier, vol. 30(6), pages 421-439, December.
    2. R. J. Troutbeck, 1986. "Average Delay at an Unsignalized Intersection with Two Major Streams Each Having a Dichotomized Headway Distribution," Transportation Science, INFORMS, vol. 20(4), pages 272-286, November.
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    Cited by:

    1. Yang, Qiaoli & Shi, Zhongke & Yu, Shaowei & Zhou, Jie, 2018. "Analytical evaluation of the use of left-turn phasing for single left-turn lane only," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 266-303.
    2. Yang, Qiaoli & Shi, Zhongke & Tang, Min-an & Gao, Fengyang & Yu, Shaowei, 2019. "Modeling the permissive-only left-turn queue at signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 315-325.
    3. Yang, Qiaoli & Shi, Zhongke, 2021. "The queue dynamics of protected/permissive left turns at pre-timed signalized intersections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
    4. Yang, Qiaoli & Deng, Kang & Gao, Fengyang & Yu, Shaowei & Dou, Zufang & Zhang, Tingrong, 2022. "Characterizing the dynamics and uncertainty of queues at signalized intersections with left-turn bay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).

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