IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v198y2023i3d10.1007_s10957-023-02250-z.html
   My bibliography  Save this article

Navigation System-Based Routing Strategies in Traffic Flows on Networks

Author

Listed:
  • Adriano Festa

    (Politecnico di Torino)

  • Paola Goatin

    (Université Côte d’Azur, Inria, CNRS, LJAD, Sophia Antipolis)

  • Fabio Vicini

    (Politecnico di Torino)

Abstract

Navigation choices play an important role in modeling and forecasting traffic flows on road networks. We introduce a macroscopic differential model coupling a conservation law with a Hamilton–Jacobi equation to, respectively, model the nonlinear transportation process and the strategic choices of users. Furthermore, the model is adapted to the multi-population case, where every population differs in the level of traffic information about the system.

Suggested Citation

  • Adriano Festa & Paola Goatin & Fabio Vicini, 2023. "Navigation System-Based Routing Strategies in Traffic Flows on Networks," Journal of Optimization Theory and Applications, Springer, vol. 198(3), pages 930-957, September.
    • Handle: RePEc:spr:joptap:v:198:y:2023:i:3:d:10.1007_s10957-023-02250-z
    DOI: 10.1007/s10957-023-02250-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-023-02250-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-023-02250-z?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. Hughes, R.L., 2000. "The flow of large crowds of pedestrians," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 53(4), pages 367-370.
    2. Rinaldo M. Colombo & Helge Holden, 2016. "On the Braess Paradox with Nonlinear Dynamics and Control Theory," Journal of Optimization Theory and Applications, Springer, vol. 168(1), pages 216-230, January.
    3. Samitha Samaranayake & Walid Krichene & Jack Reilly & Maria Laura Delle Monache & Paola Goatin & Alexandre Bayen, 2018. "Discrete-Time System Optimal Dynamic Traffic Assignment (SO-DTA) with Partial Control for Physical Queuing Networks," Transportation Science, INFORMS, vol. 52(4), pages 982-1001, August.
    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. Hongjia Zhang & Yingshi Guo & Yunxing Chen & Qinyu Sun & Chang Wang, 2020. "Analysis of Pedestrian Street-Crossing Decision-Making Based on Vehicle Deceleration-Safety Gap," IJERPH, MDPI, vol. 17(24), pages 1-13, December.
    2. Jinghong Wang & Siuming Lo & Qingsong Wang & Jinhua Sun & Honglin Mu, 2013. "Risk of Large‐Scale Evacuation Based on the Effectiveness of Rescue Strategies Under Different Crowd Densities," Risk Analysis, John Wiley & Sons, vol. 33(8), pages 1553-1563, August.
    3. Milad Haghani & Majid Sarvi & Zahra Shahhoseini & Maik Boltes, 2016. "How Simple Hypothetical-Choice Experiments Can Be Utilized to Learn Humans’ Navigational Escape Decisions in Emergencies," PLOS ONE, Public Library of Science, vol. 11(11), pages 1-24, November.
    4. Abdelghany, Ahmed & Abdelghany, Khaled & Mahmassani, Hani, 2016. "A hybrid simulation-assignment modeling framework for crowd dynamics in large-scale pedestrian facilities," Transportation Research Part A: Policy and Practice, Elsevier, vol. 86(C), pages 159-176.
    5. Zhang, J. & Seyfried, A., 2014. "Comparison of intersecting pedestrian flows based on experiments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 316-325.
    6. Reppas, Andreas I. & Spiliotis, Konstantinos & Siettos, Constantinos I., 2015. "Tuning the average path length of complex networks and its influence to the emergent dynamics of the majority-rule model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 109(C), pages 186-196.
    7. He, Mengchen & Wang, Qiao & Chen, Juan & Xu, Shiwei & Ma, Jian, 2023. "Modeling pedestrian walking behavior in the flow field with moving walkways," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 619(C).
    8. Zhang, Yijing & Lu, Linjun & Liu, Qiujia & Hu, Miaoqing, 2023. "Modeling of low-risk behavior of pedestrian movement based on dynamic data analysis," Transportation Research Part A: Policy and Practice, Elsevier, vol. 168(C).
    9. Li, Xiao-Yang & Lin, Zhi-Yang & Zhang, Peng & Zhang, Xiao-Ning, 2023. "Reconstruction of density and cost potential field of Eikonal equation: Applications to discrete pedestrian flow models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).
    10. Subaih, Rudina & Tordeux, Antoine, 2024. "Modeling pedestrian single-file movement: Extending the interaction to the follower," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
    11. Fu, Zhijian & Zhou, Xiaodong & Zhu, Kongjin & Chen, Yanqiu & Zhuang, Yifan & Hu, Yuqi & Yang, Lizhong & Chen, Changkun & Li, Jian, 2015. "A floor field cellular automaton for crowd evacuation considering different walking abilities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 294-303.
    12. Lee, Ris S.C. & Hughes, Roger L., 2007. "Minimisation of the risk of trampling in a crowd," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 74(1), pages 29-37.
    13. Bagloee, Saeed Asadi & (Avi) Ceder, Avishai & Sarvi, Majid & Asadi, Mohsen, 2019. "Is it time to go for no-car zone policies? Braess Paradox Detection," Transportation Research Part A: Policy and Practice, Elsevier, vol. 121(C), pages 251-264.
    14. Haghani, Milad, 2021. "The knowledge domain of crowd dynamics: Anatomy of the field, pioneering studies, temporal trends, influential entities and outside-domain impact," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).
    15. Fu, Zhijian & Yang, Lizhong & Chen, Yanqiu & Zhu, Kongjin & Zhu, Shi, 2013. "The effect of individual tendency on crowd evacuation efficiency under inhomogeneous exit attraction using a static field modified FFCA model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 6090-6099.
    16. Li-ya Yao & Li-shan Sun & Wu-hong Wang & Hui Xiong, 2012. "Concept Layout Model of Transportation Terminals," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-8, December.
    17. Srinivasan, Aravinda Ramakrishnan & Karan, Farshad Salimi Naneh & Chakraborty, Subhadeep, 2017. "Pedestrian dynamics with explicit sharing of exit choice during egress through a long corridor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 770-782.
    18. Fu, Zhijian & Luo, Lin & Yang, Yue & Zhuang, Yifan & Zhang, Peitong & Yang, Lizhong & Yang, Hongtai & Ma, Jian & Zhu, Kongjin & Li, Yanlai, 2016. "Effect of speed matching on fundamental diagram of pedestrian flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 31-42.
    19. Shi, Yihan & Xu, Jie & Zhang, Hui & Jia, Limin & Qin, Yong, 2022. "Walking model on passenger in merging passage of subway station considering overtaking behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    20. Xiaohong Li & Jianan Zhou & Feng Chen & Zan Zhang, 2018. "Cluster Risk of Walking Scenarios Based on Macroscopic Flow Model and Crowding Force Analysis," Sustainability, MDPI, vol. 10(2), pages 1-16, February.

    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:spr:joptap:v:198:y:2023:i:3:d:10.1007_s10957-023-02250-z. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.