IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v656y2024ics0378437124007404.html
   My bibliography  Save this article

A method for estimating vehicle delays at parking lot exits in urban networks

Author

Listed:
  • Dong, Sheng
  • Li, Xiaonan
  • Ding, Wenlong
  • Chen, Feng
  • Zhang, Ning

Abstract

Parking lot entrances and exits are places where traffic conflicts are serious and traffic delays often occur. The accurate calculation of vehicle delays is crucial for parking lot entrance and exit management and is beneficial for reducing the interaction between static and dynamic traffic. Field data can be used to determine the vehicle delay, but the process of collecting field data is costly and time-consuming. Therefore, it is necessary to determine the vehicle delay for vehicles at the entrance and exit of the parking lot through mathematical models, as this method is efficient and cost-saving. This paper provides an estimation model based on renewal theory, the Poisson distribution, and the negative exponential distribution to study the delay time of a vehicle preparing to make a right turn at the curb of a parking lot exit (VCPLE). The study focuses on the yielding behaviors of the closest approaching vehicle (CAV) that is travelling in the lane into which the VCPLE is about to merge, and that will be positioned immediately behind the VCPLE once the merge is completed. Furthermore, the headway distance between the VCPLE and the CAV is also considered in addressing the problem. Additionally, a comparative analysis of vehicle delays was conducted via field data alongside predictions from the proposed model and the Cowan M3 model. The results demonstrate the success of the model developed in this study in estimating vehicle delays for the VCPLE. Furthermore, upon comparing the calculation results with those of the M3 model, it becomes evident that the model constructed in this study offers a more precise estimation of vehicle delays at parking lot exits. By calculating the delays experienced by vehicles within the parking lot entrance and exit zones, a comprehensive understanding of the traffic operational status in these areas can be obtained. This, in turn, aids in assessing the efficiency of the transportation system. This analysis enables traffic management authorities to promptly identify and address traffic bottlenecks, ultimately contributing to an improvement in road capacity.

Suggested Citation

  • Dong, Sheng & Li, Xiaonan & Ding, Wenlong & Chen, Feng & Zhang, Ning, 2024. "A method for estimating vehicle delays at parking lot exits in urban networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 656(C).
    • Handle: RePEc:eee:phsmap:v:656:y:2024:i:c:s0378437124007404
    DOI: 10.1016/j.physa.2024.130231
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437124007404
    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.2024.130231?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. Chen, Danjue & Ahn, Soyoung, 2018. "Capacity-drop at extended bottlenecks: Merge, diverge, and weave," Transportation Research Part B: Methodological, Elsevier, vol. 108(C), pages 1-20.
    2. Zhang, Hanyu & Du, Lili & Shen, Jinglai, 2022. "Hybrid MPC System for Platoon based Cooperative Lane change Control Using Machine Learning Aided Distributed Optimization," Transportation Research Part B: Methodological, Elsevier, vol. 159(C), pages 104-142.
    3. Zhang, Lei & Levinson, David, 2004. "Optimal freeway ramp control without origin-destination information," Transportation Research Part B: Methodological, Elsevier, vol. 38(10), pages 869-887, December.
    4. Jin, Wen-Long, 2010. "A kinematic wave theory of lane-changing traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 44(8-9), pages 1001-1021, September.
    5. D. J. Buckley, 1968. "A Semi-Poisson Model of Traffic Flow," Transportation Science, INFORMS, vol. 2(2), pages 107-133, May.
    6. Zheng, Zuduo & Ahn, Soyoung & Chen, Danjue & Laval, Jorge, 2011. "Freeway traffic oscillations: Microscopic analysis of formations and propagations using Wavelet Transform," Transportation Research Part B: Methodological, Elsevier, vol. 45(9), pages 1378-1388.
    7. Zheng, Zuduo & Ahn, Soyoung & Chen, Danjue & Laval, Jorge, 2011. "Applications of wavelet transform for analysis of freeway traffic: Bottlenecks, transient traffic, and traffic oscillations," Transportation Research Part B: Methodological, Elsevier, vol. 45(2), pages 372-384, February.
    8. Alisoltani, Negin & Leclercq, Ludovic & Zargayouna, Mahdi, 2021. "Can dynamic ride-sharing reduce traffic congestion?," Transportation Research Part B: Methodological, Elsevier, vol. 145(C), pages 212-246.
    9. Zheng, Yinan & Elefteriadou, Lily, 2017. "A model of pedestrian delay at unsignalized intersections in urban networks," Transportation Research Part B: Methodological, Elsevier, vol. 100(C), pages 138-155.
    10. Gipps, P. G., 1986. "A model for the structure of lane-changing decisions," Transportation Research Part B: Methodological, Elsevier, vol. 20(5), pages 403-414, October.
    11. Jin, Wen-Long, 2013. "A multi-commodity Lighthill–Whitham–Richards model of lane-changing traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 361-377.
    12. Chen, Danjue & Laval, Jorge & Zheng, Zuduo & Ahn, Soyoung, 2012. "A behavioral car-following model that captures traffic oscillations," Transportation Research Part B: Methodological, Elsevier, vol. 46(6), pages 744-761.
    13. Tanyel, Serhan & Yayla, Nadir, 2003. "A discussion on the parameters of Cowan M3 distribution for Turkey," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(2), pages 129-143, February.
    14. Cassidy, Michael J. & Rudjanakanoknad, Jittichai, 2005. "Increasing the capacity of an isolated merge by metering its on-ramp," Transportation Research Part B: Methodological, Elsevier, vol. 39(10), pages 896-913, December.
    15. Kimber, R. M. & Daly, P. N., 1986. "Time-dependent queueing at road junctions: Observation and prediction," Transportation Research Part B: Methodological, Elsevier, vol. 20(3), pages 187-203, June.
    16. Zheng, Zuduo, 2014. "Recent developments and research needs in modeling lane changing," Transportation Research Part B: Methodological, Elsevier, vol. 60(C), pages 16-32.
    17. Schmitt, Marius & Ramesh, Chithrupa & Lygeros, John, 2017. "Sufficient optimality conditions for distributed, non-predictive ramp metering in the monotonic cell transmission model," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 401-422.
    18. Lertworawanich, Ponlathep & Elefteriadou, Lily, 2003. "A methodology for estimating capacity at ramp weaves based on gap acceptance and linear optimization," Transportation Research Part B: Methodological, Elsevier, vol. 37(5), pages 459-483, June.
    19. Chen, Danjue & Ahn, Soyoung & Laval, Jorge & Zheng, Zuduo, 2014. "On the periodicity of traffic oscillations and capacity drop: The role of driver characteristics," Transportation Research Part B: Methodological, Elsevier, vol. 59(C), pages 117-136.
    Full references (including those not matched with items on IDEAS)

    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. Oh, Simon & Yeo, Hwasoo, 2015. "Impact of stop-and-go waves and lane changes on discharge rate in recovery flow," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 88-102.
    2. Zheng, Zuduo, 2014. "Recent developments and research needs in modeling lane changing," Transportation Research Part B: Methodological, Elsevier, vol. 60(C), pages 16-32.
    3. Li, Zhengming & Smirnova, M.N. & Zhang, Yongliang & Smirnov, N.N. & Zhu, Zuojin, 2022. "Tunnel speed limit effects on traffic flow explored with a three lane model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 185-197.
    4. Saifuzzaman, Mohammad & Zheng, Zuduo & Mazharul Haque, Md. & Washington, Simon, 2015. "Revisiting the Task–Capability Interface model for incorporating human factors into car-following models," Transportation Research Part B: Methodological, Elsevier, vol. 82(C), pages 1-19.
    5. Mingmin Guo & Zheng Wu & Huibing Zhu, 2018. "Empirical study of lane-changing behavior on three Chinese freeways," PLOS ONE, Public Library of Science, vol. 13(1), pages 1-22, January.
    6. He, Zhengbing & Zheng, Liang & Guan, Wei, 2015. "A simple nonparametric car-following model driven by field data," Transportation Research Part B: Methodological, Elsevier, vol. 80(C), pages 185-201.
    7. He, Jia & He, Zhengbing & Fan, Bo & Chen, Yanyan, 2020. "Optimal location of lane-changing warning point in a two-lane road considering different traffic flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    8. Zhou, Zhi & Li, Linheng & Qu, Xu & Ran, Bin, 2024. "PACC: A platoon-based adaptive cruise control strategy based on leader-following information topology to mitigate traffic oscillations under CAV environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 654(C).
    9. Chen, Danjue & Ahn, Soyoung, 2018. "Capacity-drop at extended bottlenecks: Merge, diverge, and weave," Transportation Research Part B: Methodological, Elsevier, vol. 108(C), pages 1-20.
    10. Chen, Danjue & Ahn, Soyoung & Laval, Jorge & Zheng, Zuduo, 2014. "On the periodicity of traffic oscillations and capacity drop: The role of driver characteristics," Transportation Research Part B: Methodological, Elsevier, vol. 59(C), pages 117-136.
    11. Saifuzzaman, Mohammad & Zheng, Zuduo & Haque, Md. Mazharul & Washington, Simon, 2017. "Understanding the mechanism of traffic hysteresis and traffic oscillations through the change in task difficulty level," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 523-538.
    12. Sharma, Anshuman & Zheng, Zuduo & Bhaskar, Ashish & Haque, Md. Mazharul, 2019. "Modelling car-following behaviour of connected vehicles with a focus on driver compliance," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 256-279.
    13. Han, Youngjun & Ahn, Soyoung, 2018. "Stochastic modeling of breakdown at freeway merge bottleneck and traffic control method using connected automated vehicle," Transportation Research Part B: Methodological, Elsevier, vol. 107(C), pages 146-166.
    14. Khelfa, Basma & Ba, Ibrahima & Tordeux, Antoine, 2023. "Predicting highway lane-changing maneuvers: A benchmark analysis of machine and ensemble learning algorithms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 612(C).
    15. Nima Dadashzadeh & Murat Ergun, 2019. "An Integrated Variable Speed Limit and ALINEA Ramp Metering Model in the Presence of High Bus Volume," Sustainability, MDPI, vol. 11(22), pages 1-26, November.
    16. Zheng, Shi-Teng & Jiang, Rui & Tian, Jun-Fang & Zhang, H.M. & Li, Zhen-Hua & Gao, Lan-Da & Jia, Bin, 2021. "Experimental study on properties of lightly congested flow," Transportation Research Part B: Methodological, Elsevier, vol. 149(C), pages 1-19.
    17. Yibing Wang & Long Wang & Xianghua Yu & Jingqiu Guo, 2023. "Capacity Drop at Freeway Ramp Merges with Its Replication in Macroscopic and Microscopic Traffic Simulations: A Tutorial Report," Sustainability, MDPI, vol. 15(3), pages 1-27, January.
    18. Yao, Handong & Li, Qianwen & Li, Xiaopeng, 2020. "A study of relationships in traffic oscillation features based on field experiments," Transportation Research Part A: Policy and Practice, Elsevier, vol. 141(C), pages 339-355.
    19. Zhou, Hao & Toth, Christopher & Guensler, Randall & Laval, Jorge, 2022. "Hybrid modeling of lane changes near freeway diverges," Transportation Research Part B: Methodological, Elsevier, vol. 165(C), pages 1-14.
    20. Tian, Junfang & Li, Guangyu & Treiber, Martin & Jiang, Rui & Jia, Ning & Ma, Shoufeng, 2016. "Cellular automaton model simulating spatiotemporal patterns, phase transitions and concave growth pattern of oscillations in traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 560-575.

    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:656:y:2024:i:c:s0378437124007404. 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.