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Adaptive routing considering delays due to signal operations

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  • Yang, Baiyu
  • Miller-Hooks, Elise

Abstract

This work addresses the problem of determining optimal routing decisions in signalized traffic networks, where arc travel times vary over time and are known only probabilistically (i.e. in stochastic, time-varying (STV) networks) and additional delay due to signal operations is explicitly considered. While prior works in the literature address problems of routing in STV networks, none explicitly considers the additional delay that would be incurred due to signal operations at the intersections of the roadway network. In this paper, we consider an adaptive routing problem, where paths are adapted en route based on revealed information concerning the arc travel times and actual signal timings. We first discuss how concepts from existing procedures can be combined to solve the adaptive routing problem in signalized STV networks, where the signal timing plan and actual timings are known a priori. When actual timings or delays due to signal control are known only probabilistically, such techniques will be inefficient. Thus, we propose a more efficient algorithm for solving this latter problem. Results of numerical experiments conducted on a real-world-based signalized street network are presented. These results show that the solutions obtained by explicitly considering delays due to signal operations will likely be significantly different from those solutions generated by techniques that ignore such delays.

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  • Yang, Baiyu & Miller-Hooks, Elise, 2004. "Adaptive routing considering delays due to signal operations," Transportation Research Part B: Methodological, Elsevier, vol. 38(5), pages 385-413, June.
  • Handle: RePEc:eee:transb:v:38:y:2004:i:5:p:385-413
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    Cited by:

    1. Valentina Trozzi & Guido Gentile & Ioannis Kaparias & Michael Bell, 2015. "Effects of Countdown Displays in Public Transport Route Choice Under Severe Overcrowding," Networks and Spatial Economics, Springer, vol. 15(3), pages 823-842, September.
    2. Gao, Song & Chabini, Ismail, 2006. "Optimal routing policy problems in stochastic time-dependent networks," Transportation Research Part B: Methodological, Elsevier, vol. 40(2), pages 93-122, February.
    3. Elise Miller-Hooks & Baiyu Yang, 2005. "Updating Paths in Time-Varying Networks Given Arc Weight Changes," Transportation Science, INFORMS, vol. 39(4), pages 451-464, November.
    4. He Huang & Song Gao, 2018. "Trajectory-Adaptive Routing in Dynamic Networks with Dependent Random Link Travel Times," Transportation Science, INFORMS, vol. 52(1), pages 102-117, January.
    5. Chai, Huajun, 2019. "Dynamic Traffic Routing and Adaptive Signal Control in a Connected Vehicles Environment," Institute of Transportation Studies, Working Paper Series qt9ng3z8vn, Institute of Transportation Studies, UC Davis.
    6. Yang, Lixing & Zhou, Xuesong, 2017. "Optimizing on-time arrival probability and percentile travel time for elementary path finding in time-dependent transportation networks: Linear mixed integer programming reformulations," Transportation Research Part B: Methodological, Elsevier, vol. 96(C), pages 68-91.
    7. Shen, Zuo-Jun Max & Pannala, Jyothsna & Rai, Rohit & Tsoi, Tsz Shing, 2008. "Modeling Transportation Networks During Disruptions and Emergency Evacuations," University of California Transportation Center, Working Papers qt1257t9zn, University of California Transportation Center.
    8. Shen, Liang & Shao, Hu & Wu, Ting & Fainman, Emily Zhu & Lam, William H.K., 2020. "Finding the reliable shortest path with correlated link travel times in signalized traffic networks under uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 144(C).
    9. Jiang, Yi & Li, Shuo & Shamo, Daniel E., 2006. "A platoon-based traffic signal timing algorithm for major-minor intersection types," Transportation Research Part B: Methodological, Elsevier, vol. 40(7), pages 543-562, August.
    10. Yang, Lixing & Zhou, Xuesong, 2014. "Constraint reformulation and a Lagrangian relaxation-based solution algorithm for a least expected time path problem," Transportation Research Part B: Methodological, Elsevier, vol. 59(C), pages 22-44.
    11. Yang, Lixing & Zhang, Yan & Li, Shukai & Gao, Yuan, 2016. "A two-stage stochastic optimization model for the transfer activity choice in metro networks," Transportation Research Part B: Methodological, Elsevier, vol. 83(C), pages 271-297.
    12. Liu, Siyuan & Qu, Qiang, 2016. "Dynamic collective routing using crowdsourcing data," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 450-469.

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