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A macroscopic theory for unsignalized intersections

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  • Chevallier, Estelle
  • Leclercq, Ludovic

Abstract

The following paper presents a dynamic macroscopic model for unsignalized intersections which accounts for time-limited disruptions in the minor stream flow, even in free-flow conditions when the average flow demand is satisfied. It introduces a deterministic fictive traffic light to represent an average alternating sequence of available and busy time periods for insertion depending on the major stream flow. Two allocation schemes of the total outflow during green periods are developed to model the influence or non-influence of the minor stream over the major stream flow. The aggregation of the resulting dynamic flow variations gives relevant capacity values. Moreover, the model predicts accurate average vehicle delay and queue length estimates compared to theoretical and empirical data. It has three easy-to-measure parameters and can be integrated into a dynamic macroscopic simulation tool for urban networks.

Suggested Citation

  • Chevallier, Estelle & Leclercq, Ludovic, 2007. "A macroscopic theory for unsignalized intersections," Transportation Research Part B: Methodological, Elsevier, vol. 41(10), pages 1139-1150, December.
    • Handle: RePEc:eee:transb:v:41:y:2007:i:10:p:1139-1150
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    References listed on IDEAS

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    1. Troutbeck, Rod J. & Kako, Soichiro, 1999. "Limited priority merge at unsignalized intersections," Transportation Research Part A: Policy and Practice, Elsevier, vol. 33(3-4), pages 291-304, April.
    2. Daganzo, Carlos F., 1995. "The cell transmission model, part II: Network traffic," Transportation Research Part B: Methodological, Elsevier, vol. 29(2), pages 79-93, April.
    3. Xiaoping Guo & Michael C. Dunne & John A. Black, 2004. "Modeling of Pedestrian Delays with Pulsed Vehicular Traffic Flow," Transportation Science, INFORMS, vol. 38(1), pages 86-96, February.
    4. Jin, W. L. & Zhang, H. M., 2003. "On the distribution schemes for determining flows through a merge," Transportation Research Part B: Methodological, Elsevier, vol. 37(6), pages 521-540, July.
    5. Heidemann, Dirk & Wegmann, Helmut, 1997. "Queueing at unsignalized intersections," Transportation Research Part B: Methodological, Elsevier, vol. 31(3), pages 239-263, June.
    6. Wu, Ning, 2001. "A universal procedure for capacity determination at unsignalized (priority-controlled) intersections," Transportation Research Part B: Methodological, Elsevier, vol. 35(6), pages 593-623, July.
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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. Daniel (Jian) Sun & Lily Elefteriadou, 2014. "A Driver Behavior-Based Lane-Changing Model for Urban Arterial Streets," Transportation Science, INFORMS, vol. 48(2), pages 184-205, May.
    3. Corthout, Ruben & Flötteröd, Gunnar & Viti, Francesco & Tampère, Chris M.J., 2012. "Non-unique flows in macroscopic first-order intersection models," Transportation Research Part B: Methodological, Elsevier, vol. 46(3), pages 343-359.
    4. Elżbieta Macioszek, 2020. "Roundabout Entry Capacity Calculation—A Case Study Based on Roundabouts in Tokyo, Japan, and Tokyo Surroundings," Sustainability, MDPI, vol. 12(4), pages 1-21, February.

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