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A modified cell transmission model considering queuing characteristics for channelized zone at signalized intersections

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  • Huang, Wei
  • Hu, Yang

Abstract

This paper focuses on traffic flow modeling of signalized intersections with entrance widening lanes and shared lanes. The link of the signalized intersection is divided into the upstream mixed zone, the transition zone, and the downstream channelized zone. The development of the modeling framework is motivated by the need to model realistic flow dynamics, especially regarding the complex interactions in the channelized zone. To describe the evolution of traffic flow, a modified cell transmission model is developed, which jointly captures features of the queue discharge process, diverge process, optional lane-changing, and shared lanes. Furthermore, a queue length calculation method based on cell densities is proposed to obtain the queue profile. Finally, the performance of the proposed modified CTM is tested using both VISSIM simulation data and empirical data on actual intersections. Numerical experiments are conducted to illustrate the importance of capturing each of these realistic queuing features for queue estimation. It is observed that our modified CTM can estimate the lane-group based queue length, and it has good estimation accuracy on both under-saturated and over-saturated traffic conditions. With the increase of the proportion of through vehicles, the estimation error decreases. The mean values of the weighted mean absolute percentage error (WMAPE) of the link maximum queue length estimation in all cases are less than 13.73%. Compared with the benchmark method, the proposed method shows better accuracy. The improvement of the modified CTM is more significant under heavy traffic conditions.

Suggested Citation

  • Huang, Wei & Hu, Yang, 2022. "A modified cell transmission model considering queuing characteristics for channelized zone at signalized intersections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    • Handle: RePEc:eee:phsmap:v:605:y:2022:i:c:s037843712200615x
    DOI: 10.1016/j.physa.2022.127977
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    References listed on IDEAS

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    1. An, Shuke & Xu, Liangjie & Qian, Lianghui & Chen, Guojun & Luo, Haoshun & Li, Fu, 2020. "Car-following model for autonomous vehicles and mixed traffic flow analysis based on discrete following interval," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    2. Zheng, Liang & Ma, Shoufeng & Zhong, Shiquan, 2011. "Analysis of honk effect on the traffic flow in a cellular automaton model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(6), pages 1072-1084.
    3. Wang, Jinghui & Lv, Wei & Jiang, Yajuan & Qin, Shuangshuang & Li, Jiawei, 2021. "A multi-agent based cellular automata model for intersection traffic control simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    4. 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.
    5. Tian, Junfang & Treiber, Martin & Ma, Shoufeng & Jia, Bin & Zhang, Wenyi, 2015. "Microscopic driving theory with oscillatory congested states: Model and empirical verification," Transportation Research Part B: Methodological, Elsevier, vol. 71(C), pages 138-157.
    6. Hossain, Md. Anowar & Tanimoto, Jun, 2022. "A microscopic traffic flow model for sharing information from a vehicle to vehicle by considering system time delay effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    7. Malachy Carey & Chandra Balijepalli & David Watling, 2015. "Extending the Cell Transmission Model to Multiple Lanes and Lane-Changing," Networks and Spatial Economics, Springer, vol. 15(3), pages 507-535, September.
    8. Ye, Lanhang & Yamamoto, Toshiyuki, 2018. "Modeling connected and autonomous vehicles in heterogeneous traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 269-277.
    9. Jiancheng Long & Ziyou Gao & Xiaomei Zhao & Aiping Lian & Penina Orenstein, 2011. "Urban Traffic Jam Simulation Based on the Cell Transmission Model," Networks and Spatial Economics, Springer, vol. 11(1), pages 43-64, March.
    10. Daganzo, Carlos F., 1994. "The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory," Transportation Research Part B: Methodological, Elsevier, vol. 28(4), pages 269-287, August.
    11. Lo, Hong K. & Szeto, W. Y., 2002. "A cell-based variational inequality formulation of the dynamic user optimal assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 36(5), pages 421-443, June.
    12. Srivastava, Anupam & Jin, Wen-Long & Lebacque, Jean-Patrick, 2015. "A modified Cell Transmission Model with realistic queue discharge features at signalized intersections," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 302-315.
    13. Kontorinaki, Maria & Spiliopoulou, Anastasia & Roncoli, Claudio & Papageorgiou, Markos, 2017. "First-order traffic flow models incorporating capacity drop: Overview and real-data validation," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 52-75.
    14. Yuan, Kai & Knoop, Victor L. & Hoogendoorn, Serge P., 2017. "A kinematic wave model in Lagrangian coordinates incorporating capacity drop: Application to homogeneous road stretches and discontinuities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 472-485.
    15. Shuzhi Zhao & Shidong Liang & Huasheng Liu & Minghui Ma, 2015. "CTM Based Real-Time Queue Length Estimation at Signalized Intersection," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-12, October.
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