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The morning commute in urban areas with heterogeneous trip lengths

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  • Lamotte, Raphaël
  • Geroliminis, Nikolas

Abstract

This paper investigates the equilibrium properties of the morning commute problem at the network level with heterogeneous trip lengths. Congestion is modeled with a Macroscopic Fundamental Diagram relating the space-mean speed of a network to the vehicular accumulation. It is shown for a large class of scheduling preferences that if users have continuously distributed characteristics, the network accumulation at equilibrium is a continuous function of time. With α−β−γ preferences and under certain conditions, a partial First-In, First-Out (FIFO) pattern emerges at equilibrium among early and late users. This FIFO pattern is strict only within families of users having heterogeneous trip lengths and identical preferences, or vice versa. Simulation results confirmed that an attracting steady-state exists for a wide range of demands and that the predicted patterns are indeed observed.

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  • Lamotte, Raphaël & Geroliminis, Nikolas, 2018. "The morning commute in urban areas with heterogeneous trip lengths," Transportation Research Part B: Methodological, Elsevier, vol. 117(PB), pages 794-810.
    • Handle: RePEc:eee:transb:v:117:y:2018:i:pb:p:794-810
    DOI: 10.1016/j.trb.2017.08.023
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    2. Dantsuji, Takao & Takayama, Yuki & Fukuda, Daisuke, 2023. "Perimeter control in a mixed bimodal bathtub model," Transportation Research Part B: Methodological, Elsevier, vol. 173(C), pages 267-291.
    3. Huang, Y.P. & Xiong, J.H. & Sumalee, A. & Zheng, N. & Lam, W.H.K. & He, Z.B. & Zhong, R.X., 2020. "A dynamic user equilibrium model for multi-region macroscopic fundamental diagram systems with time-varying delays," Transportation Research Part B: Methodological, Elsevier, vol. 131(C), pages 1-25.
    4. Zheng, Nan & Geroliminis, Nikolas, 2020. "Area-based equitable pricing strategies for multimodal urban networks with heterogeneous users," Transportation Research Part A: Policy and Practice, Elsevier, vol. 136(C), pages 357-374.
    5. Beojone, Caio Vitor & Geroliminis, Nikolas, 2023. "A dynamic multi-region MFD model for ride-sourcing with ridesplitting," Transportation Research Part B: Methodological, Elsevier, vol. 177(C).
    6. Louis Balzer & Ludovic Leclercq, 2021. "Modal equilibrium of a tradable credit scheme with a trip-based MFD and logit-based decision-making," Papers 2112.07277, arXiv.org, revised Apr 2022.
    7. Liu, Renming & Jiang, Yu & Seshadri, Ravi & Ben-Akiva, Moshe & Azevedo, Carlos Lima, 2024. "Contextual Bayesian optimization of congestion pricing with day-to-day dynamics," Transportation Research Part A: Policy and Practice, Elsevier, vol. 179(C).
    8. Mariotte, Guilhem & Leclercq, Ludovic, 2019. "Flow exchanges in multi-reservoir systems with spillbacks," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 327-349.
    9. Anupriya, & Bansal, Prateek & Graham, Daniel J., 2023. "Congestion in cities: Can road capacity expansions provide a solution?," Transportation Research Part A: Policy and Practice, Elsevier, vol. 174(C).
    10. Li, Zhi-Chun & Huang, Hai-Jun & Yang, Hai, 2020. "Fifty years of the bottleneck model: A bibliometric review and future research directions," Transportation Research Part B: Methodological, Elsevier, vol. 139(C), pages 311-342.
    11. Yildirimoglu, Mehmet & Ramezani, Mohsen, 2020. "Demand management with limited cooperation among travellers: A doubly dynamic approach," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 267-284.
    12. Johari, Mansour & Keyvan-Ekbatani, Mehdi, 2024. "Macroscopic modeling of mixed bi-modal urban networks: A hybrid model of accumulation- and trip-based principles," Transportation Research Part B: Methodological, Elsevier, vol. 182(C).
    13. Liu, Wei & Szeto, Wai Yuen, 2020. "Learning and managing stochastic network traffic dynamics with an aggregate traffic representation," Transportation Research Part B: Methodological, Elsevier, vol. 137(C), pages 19-46.
    14. Louis Balzer & Ludovic Leclercq, 2024. "Modal dynamic equilibrium under different demand management schemes," Transportation, Springer, vol. 51(2), pages 529-566, April.

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