IDEAS home Printed from https://ideas.repec.org/a/eee/transe/v188y2024ics136655452400125x.html
   My bibliography  Save this article

An autonomous vehicle exclusive lane design problem under the mixed autonomy traffic environment: Model formulation and large-scale algorithm design

Author

Listed:
  • Wang, Ting
  • Li, Yao
  • Jia, Bin
  • Long, Jiancheng

Abstract

With the development of self-driving, urban network will face a hybrid stage where both connected autonomous vehicles (CAVs) and human-driven vehicles (HDVs) coexist. Due to the ability of CAVs to share information and coordinate in real-time, the design of autonomous vehicle (AV)-exclusive lanes has received much attention as it is expected to improve traffic flow characteristics. This study proposes an AV-exclusive lane design problem (ALDP) for the road network. The ALDP is formulated as a bi-level programming model. The upper-level model deploys the optimal design of AV-exclusive lanes to reduce the total comprehensive cost. The lower-level problem describes the mixed routing equilibrium (MRE) travel behavior of CAVs and HDVs. Specifically, CAVs and HDVs follow the user equilibrium principle in general lanes, and CAVs on the exclusive lanes are controlled by the system to adopt the system optimum principle. To deal with large-scale scenarios, a heuristic nested algorithm is developed for solving the lower-level MRE traffic assignment problem. Two acceleration strategies, namely the technology-based strategy and the sensitivity analysis-based strategy, are developed to speed up the solution process. Besides, a kriging surrogate-based optimization algorithm is designed to solve the bi-level ALDP. Numerical experiments demonstrate that the nested algorithm achieves high-precision solution with fast computational speed when solving the MRE problem in real-world traffic networks. Additionally, the implementation of the AV-exclusive lanes design scheme significantly improves the overall performance of the network in terms of total system travel time. This study provides new insights into future hybrid phase facility construction and management strategies.

Suggested Citation

  • Wang, Ting & Li, Yao & Jia, Bin & Long, Jiancheng, 2024. "An autonomous vehicle exclusive lane design problem under the mixed autonomy traffic environment: Model formulation and large-scale algorithm design," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 188(C).
  • Handle: RePEc:eee:transe:v:188:y:2024:i:c:s136655452400125x
    DOI: 10.1016/j.tre.2024.103534
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S136655452400125X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.tre.2024.103534?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. Nie, Yu (Marco), 2010. "A class of bush-based algorithms for the traffic assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 44(1), pages 73-89, January.
    2. Patrick T. Harker, 1988. "Multiple Equilibrium Behaviors on Networks," Transportation Science, INFORMS, vol. 22(1), pages 39-46, February.
    3. Hong Zheng, 2015. "Adaptation of Network Simplex for the Traffic Assignment Problem," Transportation Science, INFORMS, vol. 49(3), pages 543-558, August.
    4. Lin, Cheng-Chang & Lee, Shwu-Chiou, 2010. "The competition game on hub network design," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 618-629, May.
    5. Shu Lu, 2008. "Sensitivity of Static Traffic User Equilibria with Perturbations in Arc Cost Function and Travel Demand," Transportation Science, INFORMS, vol. 42(1), pages 105-123, February.
    6. Jayakrishnan, R. & Tsai, Wei T. & Prashker, Joseph N. & Rajadhyaksha, Subodh, 1994. "A Faster Path-Based Algorithm for Traffic Assignment," University of California Transportation Center, Working Papers qt2hf4541x, University of California Transportation Center.
    7. Liu, Zhiyuan & Wang, Zewen & Cheng, Qixiu & Yin, Ruyang & Wang, Meng, 2021. "Estimation of urban network capacity with second-best constraints for multimodal transport systems," Transportation Research Part B: Methodological, Elsevier, vol. 152(C), pages 276-294.
    8. Larry J. Leblanc, 1975. "An Algorithm for the Discrete Network Design Problem," Transportation Science, INFORMS, vol. 9(3), pages 183-199, August.
    9. Rommel G. Regis & Christine A. Shoemaker, 2007. "A Stochastic Radial Basis Function Method for the Global Optimization of Expensive Functions," INFORMS Journal on Computing, INFORMS, vol. 19(4), pages 497-509, November.
    10. Long, Jiancheng & Szeto, W.Y. & Huang, Hai-Jun, 2014. "A bi-objective turning restriction design problem in urban road networks," European Journal of Operational Research, Elsevier, vol. 237(2), pages 426-439.
    11. Shi, Xiaowei & Li, Xiaopeng, 2021. "Constructing a fundamental diagram for traffic flow with automated vehicles: Methodology and demonstration," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 279-292.
    12. Maria Mitradjieva & Per Olov Lindberg, 2013. "The Stiff Is Moving---Conjugate Direction Frank-Wolfe Methods with Applications to Traffic Assignment ," Transportation Science, INFORMS, vol. 47(2), pages 280-293, May.
    13. Wang, Jian & Peeta, Srinivas & He, Xiaozheng, 2019. "Multiclass traffic assignment model for mixed traffic flow of human-driven vehicles and connected and autonomous vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 139-168.
    14. Hossain Poorzahedy & Farhad Abulghasemi, 2005. "Application of Ant System to network design problem," Transportation, Springer, vol. 32(3), pages 251-273, May.
    15. Yang, Hai & Zhang, Xiaoning, 2008. "Existence of anonymous link tolls for system optimum on networks with mixed equilibrium behaviors," Transportation Research Part B: Methodological, Elsevier, vol. 42(2), pages 99-112, February.
    16. Wang, David Z.W. & Lo, Hong K., 2010. "Global optimum of the linearized network design problem with equilibrium flows," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 482-492, May.
    17. Xu, Zhandong & Xie, Jun & Liu, Xiaobo & Nie, Yu (Marco), 2020. "Hyperpath-based algorithms for the transit equilibrium assignment problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 143(C).
    18. Chen, Zhibin & He, Fang & Yin, Yafeng & Du, Yuchuan, 2017. "Optimal design of autonomous vehicle zones in transportation networks," Transportation Research Part B: Methodological, Elsevier, vol. 99(C), pages 44-61.
    19. Gao, Ziyou & Wu, Jianjun & Sun, Huijun, 2005. "Solution algorithm for the bi-level discrete network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 39(6), pages 479-495, July.
    20. Bahrami, Sina & Roorda, Matthew J., 2020. "Optimal traffic management policies for mixed human and automated traffic flows," Transportation Research Part A: Policy and Practice, Elsevier, vol. 135(C), pages 130-143.
    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. Zhang, Fang & Lu, Jian & Hu, Xiaojian & Meng, Qiang, 2023. "Integrated deployment of dedicated lane and roadside unit considering uncertain road capacity under the mixed-autonomy traffic environment," Transportation Research Part B: Methodological, Elsevier, vol. 174(C).
    2. Hamid Farvaresh & Mohammad Sepehri, 2013. "A Branch and Bound Algorithm for Bi-level Discrete Network Design Problem," Networks and Spatial Economics, Springer, vol. 13(1), pages 67-106, March.
    3. Farahani, Reza Zanjirani & Miandoabchi, Elnaz & Szeto, W.Y. & Rashidi, Hannaneh, 2013. "A review of urban transportation network design problems," European Journal of Operational Research, Elsevier, vol. 229(2), pages 281-302.
    4. Khooban, Zohreh & Farahani, Reza Zanjirani & Miandoabchi, Elnaz & Szeto, W.Y., 2015. "Mixed network design using hybrid scatter search," European Journal of Operational Research, Elsevier, vol. 247(3), pages 699-710.
    5. Liu, Haoxiang & Szeto, W.Y. & Long, Jiancheng, 2019. "Bike network design problem with a path-size logit-based equilibrium constraint: Formulation, global optimization, and matheuristic," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 127(C), pages 284-307.
    6. Luathep, Paramet & Sumalee, Agachai & Lam, William H.K. & Li, Zhi-Chun & Lo, Hong K., 2011. "Global optimization method for mixed transportation network design problem: A mixed-integer linear programming approach," Transportation Research Part B: Methodological, Elsevier, vol. 45(5), pages 808-827, June.
    7. Wang, Shuaian & Meng, Qiang & Yang, Hai, 2013. "Global optimization methods for the discrete network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 50(C), pages 42-60.
    8. Du, Muqing & Chen, Anthony, 2022. "Sensitivity analysis for transit equilibrium assignment and applications to uncertainty analysis," Transportation Research Part B: Methodological, Elsevier, vol. 157(C), pages 175-202.
    9. Jafari, Ehsan & Pandey, Venktesh & Boyles, Stephen D., 2017. "A decomposition approach to the static traffic assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 270-296.
    10. Wang, David Z.W. & Liu, Haoxiang & Szeto, W.Y., 2015. "A novel discrete network design problem formulation and its global optimization solution algorithm," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 79(C), pages 213-230.
    11. Zhang, Fang & Lu, Jian & Hu, Xiaojian, 2022. "Integrated path controlling and subsidy scheme for mobility and environmental management in automated transportation networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 167(C).
    12. Fan, Yinchao & Ding, Jianxun & Long, Jiancheng & Wu, Jianjun, 2024. "Modeling and evaluating the travel behaviour in multimodal networks: A path-based unified equilibrium model and a tailored greedy solution algorithm," Transportation Research Part A: Policy and Practice, Elsevier, vol. 182(C).
    13. Xu, Zhandong & Xie, Jun & Liu, Xiaobo & Nie, Yu (Marco), 2020. "Hyperpath-based algorithms for the transit equilibrium assignment problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 143(C).
    14. Du, Jinxiao & Ma, Wei, 2024. "Maximin headway control of automated vehicles for system optimal dynamic traffic assignment in general networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 188(C).
    15. Wang, Jian & He, Xiaozheng & Peeta, Srinivas & Wang, Wei, 2022. "Globally convergent line search algorithm with Euler-based step size-determination method for continuous network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 163(C), pages 119-144.
    16. Sun, Mingmei, 2023. "A day-to-day dynamic model for mixed traffic flow of autonomous vehicles and inertial human-driven vehicles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 173(C).
    17. Elnaz Miandoabchi & Reza Farahani & W. Szeto, 2012. "Bi-objective bimodal urban road network design using hybrid metaheuristics," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(4), pages 583-621, December.
    18. Hosseininasab, Seyyed-Mohammadreza & Shetab-Boushehri, Seyyed-Nader, 2015. "Integration of selecting and scheduling urban road construction projects as a time-dependent discrete network design problem," European Journal of Operational Research, Elsevier, vol. 246(3), pages 762-771.
    19. Liu, Zhiyuan & Chen, Xinyuan & Hu, Jintao & Wang, Shuaian & Zhang, Kai & Zhang, Honggang, 2023. "An alternating direction method of multipliers for solving user equilibrium problem," European Journal of Operational Research, Elsevier, vol. 310(3), pages 1072-1084.
    20. Di, Xuan & Ma, Rui & Liu, Henry X. & Ban, Xuegang (Jeff), 2018. "A link-node reformulation of ridesharing user equilibrium with network design," Transportation Research Part B: Methodological, Elsevier, vol. 112(C), pages 230-255.

    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:transe:v:188:y:2024:i:c:s136655452400125x. 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.elsevier.com/wps/find/journaldescription.cws_home/600244/description#description .

    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.