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Dynamic equilibrium commuting in a multilane system with ridesharing

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  • Li, Wei-Hong
  • Huang, Hai-Jun
  • Shang, Hua-Yan

Abstract

High-occupancy vehicle (HOV) lane has been designed to maximize the movement of people rather than vehicles. For completely understanding the travel pattern of a multilane highway system, this paper presents a dynamic user equilibrium framework, in which commuters, composed of solo-driving drivers, ridesharing drivers and ridesharing passengers, choose their departure times and transport modes to workplace every day. The ridesharing vehicles can use both the HOV lane and the general purpose lane while the solo drivers are only allowed to use the latter. It is found that the rush hour on both lanes is identical but the system’s total travel cost decreases, in a nonlinear way, with the expansion of HOV lane’s capacity.

Suggested Citation

  • Li, Wei-Hong & Huang, Hai-Jun & Shang, Hua-Yan, 2020. "Dynamic equilibrium commuting in a multilane system with ridesharing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
  • Handle: RePEc:eee:phsmap:v:557:y:2020:i:c:s0378437120304465
    DOI: 10.1016/j.physa.2020.124860
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    References listed on IDEAS

    as
    1. Lin, XuXun & Yuan, PengCheng, 2018. "A dynamic parking charge optimal control model under perspective of commuters’ evolutionary game behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1096-1110.
    2. Nagatani, Takashi, 2016. "Traffic dispersion through a series of signals with irregular split," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 122-130.
    3. Sheldon, Tamara L. & DeShazo, J.R., 2017. "How does the presence of HOV lanes affect plug-in electric vehicle adoption in California? A generalized propensity score approach," Journal of Environmental Economics and Management, Elsevier, vol. 85(C), pages 146-170.
    4. Daganzo, Carlos F. & Cassidy, Michael J., 2008. "Effects of high occupancy vehicle lanes on freeway congestion," Transportation Research Part B: Methodological, Elsevier, vol. 42(10), pages 861-872, December.
    5. Gupta, A.K. & Katiyar, V.K., 2006. "A new anisotropic continuum model for traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(2), pages 551-559.
    6. Shi, Meng & Lee, Eric Wai Ming & Ma, Yi, 2018. "A novel grid-based mesoscopic model for evacuation dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 497(C), pages 198-210.
    7. Zhang, Jian & Tang, Tie-Qiao & Yu, Shao-Wei, 2018. "An improved car-following model accounting for the preceding car’s taillight," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1831-1837.
    8. Li, Chuan-Yao & Huang, Hai-Jun & Tang, Tie-Qiao, 2017. "Analysis of social optimum for staggered shifts in a single-entry traffic corridor with no late arrivals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 275-283.
    9. Xu, Huayu & Pang, Jong-Shi & Ordóñez, Fernando & Dessouky, Maged, 2015. "Complementarity models for traffic equilibrium with ridesharing," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 161-182.
    10. Chang, Yinyin & He, Zhiting & Cheng, Rongjun, 2019. "An extended lattice hydrodynamic model considering the driver’s sensory memory and delayed-feedback control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 522-532.
    11. Gupta, Arvind Kumar & Redhu, Poonam, 2013. "Analyses of driver’s anticipation effect in sensing relative flux in a new lattice model for two-lane traffic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(22), pages 5622-5632.
    12. Sun, Yuqing & Ge, Hongxia & Cheng, Rongjun, 2019. "An extended car-following model considering driver’s memory and average speed of preceding vehicles with control strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 752-761.
    13. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-260, May.
    14. Gupta, A.K. & Katiyar, V.K., 2006. "Phase transition of traffic states with on-ramp," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 674-682.
    15. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1990. "Economics of a bottleneck," Journal of Urban Economics, Elsevier, vol. 27(1), pages 111-130, January.
    16. Li, Chuan-Yao & Huang, Hai-Jun & Tang, Tie-Qiao, 2017. "Analysis of user equilibrium for staggered shifts in a single-entry traffic corridor with no late arrivals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 8-18.
    17. Nagatani, Takashi & Hino, Yuki, 2014. "Driving behavior and control in traffic system with two kinds of signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 110-119.
    18. Changtao-Jiang, & Rongjun-Cheng, & Hongxia-Ge,, 2019. "Mean-field flow difference model with consideration of on-ramp and off-ramp," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 465-476.
    19. Ma, Rui & Zhang, H.M., 2017. "The morning commute problem with ridesharing and dynamic parking charges," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 345-374.
    20. Sharma, Sapna, 2015. "Lattice hydrodynamic modeling of two-lane traffic flow with timid and aggressive driving behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 401-411.
    21. Wang, Jing-Peng & Ban, Xuegang (Jeff) & Huang, Hai-Jun, 2019. "Dynamic ridesharing with variable-ratio charging-compensation scheme for morning commute," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 390-415.
    22. Jin, Yanfei & Xu, Meng, 2016. "Stability analysis in a car-following model with reaction-time delay and delayed feedback control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 459(C), pages 107-116.
    23. Xiao, Ling-Ling & Liu, Tian-Liang & Huang, Hai-Jun, 2016. "On the morning commute problem with carpooling behavior under parking space constraint," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 383-407.
    24. Wang, Ting & Cheng, Rongjun & Ge, Hongxia, 2019. "Analysis of a novel lattice hydrodynamic model considering predictive effect and flow integral," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
    25. Redhu, Poonam & Gupta, Arvind Kumar, 2016. "Effect of forward looking sites on a multi-phase lattice hydrodynamic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 150-160.
    26. Cheng, Rongjun & Wang, Yunong, 2019. "An extended lattice hydrodynamic model considering the delayed feedback control on a curved road," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 510-517.
    27. Hai-Jun Huang & Hai Yang & Michael G.H. Bell, 2000. "The models and economics of carpools," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 34(1), pages 55-68.
    28. Qi, Xinyue & Ge, Hongxia & Cheng, Rongjun, 2019. "Analysis of a novel lattice hydrodynamic model considering density integral and “backward looking” effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 714-723.
    29. Wang, Jing-Peng & Huang, Hai-Jun & (Jeff) Ban, Xuegang, 2019. "Optimal capacity allocation for high occupancy vehicle (HOV) lane in morning commute," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 354-361.
    30. Tang, Tie-Qiao & Zhang, Jian & Liu, Kai, 2017. "A speed guidance model accounting for the driver’s bounded rationality at a signalized intersection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 45-52.
    31. Davis, L.C., 2012. "Mitigation of congestion at a traffic bottleneck with diversion and lane restrictions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1679-1691.
    32. Li, Chuan-Yao & Huang, Hai-Jun, 2017. "Morning commute in a single-entry traffic corridor with early and late arrivals," Transportation Research Part B: Methodological, Elsevier, vol. 97(C), pages 23-49.
    33. Peng, Guang-han & Cheng, Rong-jun, 2013. "A new car-following model with the consideration of anticipation optimal velocity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3563-3569.
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