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Social optimum for evening commute in a single-entry traffic corridor with no early departures

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  • Li, Chuan-Yao
  • Xu, Guang-Ming
  • Tang, Tie-Qiao

Abstract

In this paper, we investigate the evening commute behaviors on the social optimum (SO) state in a single-entry traffic corridor with no early departures. Differing from the previous studies on evening commute, the dynamic properties of traffic flow are analyzed with the LWR (Lighthill–Whitham–Richards) model. The properties of optimum cumulative inflow curve with general desired departure time distribution curve are deduced, and then the analytic solutions for common desired departure time in SO are obtained. Three numerical examples are carried out to capture the characteristics of evening commuting behaviors under different values of time. The analytic and numerical results both indicate that the rarefaction wave originating from the first entry point influences the whole or part of the outflow curve. No shock wave exists through the commuting process. In addition, the cost curves show that the trip cost increases and the departure delay cost decreases with departure time, whereas the travel time cost first increases then decreases with departure time under the SO principle.

Suggested Citation

  • Li, Chuan-Yao & Xu, Guang-Ming & Tang, Tie-Qiao, 2018. "Social optimum for evening commute in a single-entry traffic corridor with no early departures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 236-247.
    • Handle: RePEc:eee:phsmap:v:502:y:2018:i:c:p:236-247
    DOI: 10.1016/j.physa.2018.02.098
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    as
    1. Nagatani, Takashi, 2017. "Complex motion of a vehicle through a series of signals controlled by power-law phase," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 478(C), pages 1-10.
    2. Bhat, Chandra, 1999. "An analysis of evening commute stop-making behavior using repeated choice observations from a multi-day survey," Transportation Research Part B: Methodological, Elsevier, vol. 33(7), pages 495-510, September.
    3. 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.
    4. Ge, Hong-Xia & Zheng, Peng-jun & Wang, Wei & Cheng, Rong-Jun, 2015. "The car following model considering traffic jerk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 433(C), pages 274-278.
    5. Gonzales, Eric J. & Daganzo, Carlos F., 2013. "The evening commute with cars and transit: Duality results and user equilibrium for the combined morning and evening peaks," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 286-299.
    6. Li, Zhi-Chun & Lam, William H.K. & Wong, S.C., 2014. "Bottleneck model revisited: An activity-based perspective," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 262-287.
    7. Ge, Hong-xia & Meng, Xiang-pei & Zhu, Hui-bing & Li, Zhi-Peng, 2014. "Feedback control for car following model based on two-lane traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 408(C), pages 28-39.
    8. Peng, Guanghan & He, Hongdi & Lu, Wei-Zhen, 2016. "A new car-following model with the consideration of incorporating timid and aggressive driving behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 197-202.
    9. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-260, May.
    10. V. F. Hurdle, 1981. "Equilibrium Flows on Urban Freeways," Transportation Science, INFORMS, vol. 15(3), pages 255-293, August.
    11. G. F. Newell, 1988. "Traffic Flow for the Morning Commute," Transportation Science, INFORMS, vol. 22(1), pages 47-58, February.
    12. Paul I. Richards, 1956. "Shock Waves on the Highway," Operations Research, INFORMS, vol. 4(1), pages 42-51, February.
    13. Zhu, Wen-Xing & Zhang, Li-Dong, 2016. "Analysis of car-following model with cascade compensation strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 265-274.
    14. 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.
    15. 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.
    16. Nagatani, Takashi, 2016. "Traffic jam at adjustable tollgates controlled by line length," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 131-136.
    17. Lai, Ling-Ling & Cheng, Rong-Jun & Li, Zhi-Peng & Ge, Hong-Xia, 2014. "Theoretical analysis of the density wave in a new continuum model and numerical simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 283-290.
    18. 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.
    19. Cheng, Rongjun & Ge, Hongxia & Wang, Jufeng, 2017. "KdV–Burgers equation in a new continuum model based on full velocity difference model considering anticipation effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 481(C), pages 52-59.
    20. 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.
    21. Zhang, Xiaoning & Huang, Hai-Jun & Zhang, H.M., 2008. "Integrated daily commuting patterns and optimal road tolls and parking fees in a linear city," Transportation Research Part B: Methodological, Elsevier, vol. 42(1), pages 38-56, January.
    22. Nagatani, Takashi, 2016. "Complex motion of a shuttle bus between two terminals with periodic inflows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 254-264.
    23. 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.
    24. Redhu, Poonam & Gupta, Arvind Kumar, 2015. "Jamming transitions and the effect of interruption probability in a lattice traffic flow model with passing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 249-260.
    25. Zhu, Wen-Xing & Zhang, Jing-Yu, 2017. "An original traffic additional emission model and numerical simulation on a signalized road," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 107-119.
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