IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v508y2018icp650-661.html
   My bibliography  Save this article

An extended car-following model with the consideration of the illegal pedestrian crossing

Author

Listed:
  • Malenje, Jairus Odawa
  • Zhao, Jing
  • Li, Peng
  • Han, Yin

Abstract

Pedestrian illegal crossings at midblock are very unpredictable and pose a potential tragic conflict with vehicles besides generally disrupting the normal flow of traffic. The drivers need to not only anticipate but also respond to their actions accordingly to avoid potential conflicts. The objective of this paper was to describe the behavior of the drivers under illegal pedestrian crossing circumstances by proposing an extended car-following model, and then analyze the impacts of the illegal pedestrian crossing on the normal traffic flow at the midblock. In this study, three conditions have been considered, namely: no pedestrians, pedestrians present but waiting, and pedestrians crossing. The numerical results illustrate that the disruptive nature of the illegal pedestrian crossing could worsen when the number of pedestrian is large, the pedestrian platoon size is small, and the speed limitation is high.

Suggested Citation

  • Malenje, Jairus Odawa & Zhao, Jing & Li, Peng & Han, Yin, 2018. "An extended car-following model with the consideration of the illegal pedestrian crossing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 650-661.
    • Handle: RePEc:eee:phsmap:v:508:y:2018:i:c:p:650-661
    DOI: 10.1016/j.physa.2018.05.074
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437118306204
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2018.05.074?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Jiang, Rui & Wu, Qing-Song & Zhu, Zuo-Jin, 2002. "A new continuum model for traffic flow and numerical tests," Transportation Research Part B: Methodological, Elsevier, vol. 36(5), pages 405-419, June.
    2. Treiber, Martin & Kesting, Arne & Helbing, Dirk, 2006. "Delays, inaccuracies and anticipation in microscopic traffic models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(1), pages 71-88.
    3. Tang, Tie-Qiao & Yu, Qiang & Yang, Shi-Chun & Ding, Chuan, 2015. "Impacts of the vehicle’s fuel consumption and exhaust emissions on the trip cost allowing late arrival under car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 431(C), pages 52-62.
    4. Tobita, Kazuhiro & Nagatani, Takashi, 2012. "Effect of signals on two-route traffic system with real-time information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 6137-6145.
    5. Gupta, A.K. & Katiyar, V.K., 2006. "A new anisotropic continuum model for traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(2), pages 551-559.
    6. Nagatani, Takashi & Tobita, Kazuhiro, 2012. "Vehicular motion in counter traffic flow through a series of signals controlled by a phase shift," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4976-4985.
    7. Xin, Qi & Yang, Nan & Fu, Rui & Yu, Shaowei & Shi, Zhongke, 2018. "Impacts analysis of car following models considering variable vehicular gap policies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 338-355.
    8. Peng, Guanghan & He, Hongdi & Lu, Wei-Zhen, 2016. "A new car-following model with the consideration of incorporating timid and aggressive driving behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 197-202.
    9. Gupta, A.K. & Katiyar, V.K., 2006. "Phase transition of traffic states with on-ramp," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 674-682.
    10. Tang, Tie-Qiao & Chen, Liang & Yang, Shi-Chun & Shang, Hua-Yan, 2015. "An extended car-following model with consideration of the electric vehicle’s driving range," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 430(C), pages 148-155.
    11. Naito, Yuichi & Nagatani, Takashi, 2012. "Effect of headway and velocity on safety–collision transition induced by lane changing in traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1626-1635.
    12. Jin, Sheng & Qu, Xiaobo & Xu, Cheng & Wang, Dian-Hai, 2013. "Dynamic characteristics of traffic flow with consideration of pedestrians’ road-crossing behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 3881-3890.
    13. Yu, Shaowei & Zhao, Xiangmo & Xu, Zhigang & Shi, Zhongke, 2016. "An improved car-following model considering the immediately ahead car’s velocity difference," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 446-455.
    14. Yu, Shaowei & Huang, Mengxing & Ren, Jia & Shi, Zhongke, 2016. "An improved car-following model considering velocity fluctuation of the immediately ahead car," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 1-17.
    15. X. Zhao & Z. Gao, 2005. "A new car-following model: full velocity and acceleration difference model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 47(1), pages 145-150, September.
    16. Herrmann, Matthias & Kerner, Boris S, 1998. "Local cluster effect in different traffic flow models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 255(1), pages 163-188.
    17. Peng, Guang-han & Cheng, Rong-jun, 2013. "A new car-following model with the consideration of anticipation optimal velocity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3563-3569.
    18. Tang, Tie-Qiao & Shao, Yi-Xiao & Chen, Liang, 2017. "Modeling pedestrian movement at the hall of high-speed railway station during the check-in process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 157-166.
    19. Sugiyama, Naoki & Nagatani, Takashi, 2013. "Multiple-vehicle collision in traffic flow by a sudden slowdown," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(8), pages 1848-1857.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Roja Ezzati Amini & Christos Katrakazas & Constantinos Antoniou, 2019. "Negotiation and Decision-Making for a Pedestrian Roadway Crossing: A Literature Review," Sustainability, MDPI, vol. 11(23), pages 1-24, November.
    2. Zeng, Youzhi & Ran, Bin & Zhang, Ning & Yang, Xiaobao & Shen, Jia-Jun & Deng, She-Jun, 2020. "Combined effects of drivers’ disturbance risk preference heterogeneity and the nearest following vehicle headway on traffic flow instability: Analytical studies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    3. Jinhua Tan & Li Gong & Xuqian Qin, 2019. "Effect of Imitation Phenomenon on Two-Lane Traffic Safety in Fog Weather," IJERPH, MDPI, vol. 16(19), pages 1-15, October.
    4. Yin, Yu-Hang & Lü, Xing & Jiang, Rui & Jia, Bin & Gao, Ziyou, 2024. "Kinetic analysis and numerical tests of an adaptive car-following model for real-time traffic in ITS," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).
    5. Jiang, Nan & Yu, Bin & Cao, Feng & Dang, Pengfei & Cui, Shaohua, 2021. "An extended visual angle car-following model considering the vehicle types in the adjacent lane," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    6. Yu, Lei, 2020. "A new continuum traffic flow model with two delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    7. Wang, Yongjie & Shen, Binchang & Wu, Hao & Wang, Chao & Su, Qian & Chen, Wenqiang, 2021. "Modeling illegal pedestrian crossing behaviors at unmarked mid-block roadway based on extended decision field theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
    8. Zhang, Geng & Yin, Le & Pan, Dong-Bo & Zhang, Yu & Cui, Bo-Yuan & Jiang, Shan, 2020. "Research on multiple vehicles’ continuous self-delayed velocities on traffic flow with vehicle-to-vehicle communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhao, Jing & Li, Peng, 2017. "An extended car-following model with consideration of vehicle to vehicle communication of two conflicting streams," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 178-187.
    2. Zhao, Jing & Li, Peng, 2016. "An extended car-following model with consideration of speed guidance at intersections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 1-8.
    3. Tang, Tie-Qiao & Shi, Wei-Fang & Huang, Hai-Jun & Wu, Wen-Xiang & Song, Ziqi, 2019. "A route-based traffic flow model accounting for interruption factors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 767-785.
    4. Ou, Hui & Tang, Tie-Qiao, 2018. "Impacts of carpooling on trip costs under car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 136-143.
    5. Ou, Hui & Tang, Tie-Qiao, 2018. "Impacts of moving bottlenecks on traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 131-138.
    6. Ou, Hui & Tang, Tie-Qiao, 2018. "An extended two-lane car-following model accounting for inter-vehicle communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 260-268.
    7. Leng, Jun-Qiang & Zhao, Lin, 2017. "Analysis of electric vehicle’s trip cost without late arrival," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 761-766.
    8. Leng, Jun-Qiang & Liu, Wei-Yi & Zhao, Lin, 2017. "Analysis of electric vehicle’s trip cost allowing late arrival," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 293-300.
    9. Ou, Hui & Tang, Tie-Qiao & Zhang, Jian & Zhou, Jie-Ming, 2018. "A car-following model accounting for probability distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 105-113.
    10. Zhaoze, Liu & Rongjun, Cheng & Hongxia, Ge, 2019. "Research on preceding vehicle’s taillight effect and energy consumption in an extended macro traffic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 304-314.
    11. Wang, Jufeng & Sun, Fengxin & Cheng, Rongjun & Ge, Hongxia, 2018. "An extended heterogeneous car-following model with the consideration of the drivers’ different psychological headways," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 1113-1125.
    12. Wang, Jufeng & Sun, Fengxin & Ge, Hongxia, 2018. "Effect of the driver’s desire for smooth driving on the car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 96-108.
    13. He, Jia & Huang, Hai-Jun & Yang, Hai & Tang, Tie-Qiao, 2017. "An electric vehicle driving behavior model in the traffic system with a wireless charging lane," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 481(C), pages 119-126.
    14. Liao, Peng & Tang, Tie-Qiao & Wang, Tao & Zhang, Jian, 2019. "A car-following model accounting for the driving habits," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 108-118.
    15. Wang, Zihao & Ge, Hongxia & Cheng, Rongjun, 2018. "Nonlinear analysis for a modified continuum model considering driver’s memory and backward looking effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 18-27.
    16. Zhang, Zhao-Ze & Huang, Hai-Jun & Tang, Tie-Qiao, 2018. "Impacts of preceding information on travelers’ departure time behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 523-529.
    17. Yongjiang-Wang, & Han-Song, & Rongjun-Cheng,, 2019. "TDGL and mKdV equations for an extended car-following model with the consideration of driver’s memory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 440-449.
    18. Zhai, Cong & Wu, Weitiao, 2022. "A continuum model considering the uncertain velocity of preceding vehicles on gradient highways," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    19. Sun, Fengxin & Wang, Jufeng & Cheng, Rongjun, 2019. "An improved anisotropic continuum model considering the driver’s desire for steady driving," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1449-1462.
    20. Cheng, Rongjun & Ge, Hongxia & Sun, Fengxin & Wang, Jufeng, 2018. "An extended macro model accounting for acceleration changes with memory and numerical tests," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 270-283.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:508:y:2018:i:c:p:650-661. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.