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Multi-objective optimal control formulations for bus service reliability with traffic signals

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  • Chow, Andy H.F.
  • Li, Shuai
  • Zhong, Renxin

Abstract

This paper presents a set of optimal control formulations for maximising bus service reliability through deriving optimal adjustments on signal timings. The traffic dynamics is captured by an underlying kinematic wave model in Hamilton–Jacobi formulation. With traffic data collected through loop detectors and bus positioning devices, the control actions are carried out through adjusting signal timing plans according to short-term estimations of traffic flows and bus arrivals. We derive the optimality conditions of multi-objective control formulations and present an open loop solution algorithm. The proposed control system is applied to a test arterial developed based upon a real-world scenario in Central London, UK. It is found that the model is capable of regulating bus service reliability through utilising traffic signals while managing delays induced to surrounding traffic. The study generates new insights on managing bus service reliability in busy urban networks.

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  • Chow, Andy H.F. & Li, Shuai & Zhong, Renxin, 2017. "Multi-objective optimal control formulations for bus service reliability with traffic signals," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 248-268.
    • Handle: RePEc:eee:transb:v:103:y:2017:i:c:p:248-268
    DOI: 10.1016/j.trb.2017.02.006
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    5. Wei Huang & Guangming Xu & Hong K. Lo, 2020. "Pareto-Optimal Sustainable Transportation Network Design under Spatial Queuing," Networks and Spatial Economics, Springer, vol. 20(3), pages 637-673, September.
    6. Nguyen, Hoa T.M. & Chow, Andy H.F. & Ying, Cheng-shuo, 2021. "Pareto routing and scheduling of dynamic urban rail transit services with multi-objective cross entropy method," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 156(C).
    7. Liang, Shidong & Zhang, Hu & Fang, Zhiming & He, Shengxue & Zhao, Jing & Leng, Rongmeng & Ma, Minghui, 2022. "Optimal control to improve reliability of demand responsive transport priority at signalized intersections considering the stochastic process," Reliability Engineering and System Safety, Elsevier, vol. 218(PB).
    8. Varga, Balázs & Tettamanti, Tamás & Kulcsár, Balázs & Qu, Xiaobo, 2020. "Public transport trajectory planning with probabilistic guarantees," Transportation Research Part B: Methodological, Elsevier, vol. 139(C), pages 81-101.
    9. Xuemei Zhou & Yehan Wang & Xiangfeng Ji & Caitlin Cottrill, 2019. "Coordinated Control Strategy for Multi-Line Bus Bunching in Common Corridors," Sustainability, MDPI, vol. 11(22), pages 1-23, November.
    10. Pandey, Ayush & Lehe, Lewis J., 2024. "Congestive mode-switching and economies of scale on a bus route," Transportation Research Part B: Methodological, Elsevier, vol. 183(C).
    11. Ying, Cheng-shuo & Chow, Andy H.F. & Chin, Kwai-Sang, 2020. "An actor-critic deep reinforcement learning approach for metro train scheduling with rolling stock circulation under stochastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 140(C), pages 210-235.
    12. Su, Z.C. & Chow, Andy H.F. & Fang, C.L. & Liang, E.M. & Zhong, R.X., 2023. "Hierarchical control for stochastic network traffic with reinforcement learning," Transportation Research Part B: Methodological, Elsevier, vol. 167(C), pages 196-216.
    13. Chow, Andy H.F. & Pavlides, Aris, 2018. "Cost functions and multi-objective timetabling of mixed train services," Transportation Research Part A: Policy and Practice, Elsevier, vol. 113(C), pages 335-356.
    14. Gkiotsalitis, K. & Cats, O., 2021. "At-stop control measures in public transport: Literature review and research agenda," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 145(C).
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    16. Sun, Fengxin & Chow, Andy H.F. & Lo, S.M. & Ge, Hongxia, 2018. "A two-lane lattice hydrodynamic model with heterogeneous lane changing rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 389-400.

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