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Analysis of the equilibrium trip cost accounting for the fuel cost in a single-lane traffic system without late arrival

Author

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  • Tang, Tie-Qiao
  • Wang, Tao
  • Chen, Liang
  • Huang, Hai-Jun

Abstract

In this paper, we introduce the fuel cost into each commuter’s trip cost, define a new trip cost without late arrival and its corresponding equilibrium state, and use a car-following model to explore the impacts of the fuel cost on each commuter’s departure time, departure interval, arrival time, arrival interval, traveling time, early arrival time and trip cost at the above equilibrium state. The numerical results show that considering the fuel cost in each commuter’s trip cost has positive impacts on his trip cost and fuel cost, and the traffic situation in the system without late arrival, i.e., each commuter should explicitly consider the fuel cost in his trip cost.

Suggested Citation

  • Tang, Tie-Qiao & Wang, Tao & Chen, Liang & Huang, Hai-Jun, 2018. "Analysis of the equilibrium trip cost accounting for the fuel cost in a single-lane traffic system without late arrival," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 451-457.
    • Handle: RePEc:eee:phsmap:v:490:y:2018:i:c:p:451-457
    DOI: 10.1016/j.physa.2017.08.044
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    Citations

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    Cited by:

    1. Wang, Jufeng & Sun, Fengxin & Ge, Hongxia, 2018. "Effect of the driver’s desire for smooth driving on the car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 96-108.
    2. Qiao, Yan-feng & Xue, Yu & Wang, Xue & Cen, Bing-ling & Wang, Yi & Pan, Wei & Zhang, Yan-xin, 2021. "Investigation of PM emissions in cellular automata model with slow-to-start effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).
    3. Jin, Zhizhan & Li, Zhipeng & Cheng, Rongjun & Ge, Hongxia, 2018. "Nonlinear analysis for an improved car-following model account for the optimal velocity changes with memory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 278-288.
    4. Yang, Qiaoli & Shi, Zhongke & Tang, Min-an & Gao, Fengyang & Yu, Shaowei, 2019. "Modeling the permissive-only left-turn queue at signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 315-325.
    5. Kaur, Daljeet & Sharma, Sapna, 2020. "A new two-lane lattice model by considering predictive effect in traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 539(C).
    6. Sun, Fengxin & Wang, Jufeng & Cheng, Rongjun, 2019. "An improved anisotropic continuum model considering the driver’s desire for steady driving," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1449-1462.
    7. Zhaoze, Liu & Rongjun, Cheng & Hongxia, Ge, 2019. "Research on preceding vehicle’s taillight effect and energy consumption in an extended macro traffic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 304-314.
    8. 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.
    9. Wang, Jufeng & Sun, Fengxin & Ge, Hongxia, 2019. "An improved lattice hydrodynamic model considering the driver’s desire of driving smoothly," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 119-129.
    10. Yang, Qiaoli & Shi, Zhongke, 2018. "Effects of the design of waiting areas on the dynamic behavior of queues at signalized intersections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 181-195.
    11. Yuan, Zijian & Wang, Tao & Zhang, Jing & Li, Shubin, 2022. "Influences of dynamic safe headway on car-following behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 591(C).
    12. Liu, Zhaoze & Ge, Hongxia & Cheng, Rongjun, 2018. "KdV–Burgers equation in the modified continuum model considering the effect of friction and radius on a curved road," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 1218-1227.
    13. Jin, Zhizhan & Yang, Zaili & Ge, Hongxia, 2018. "Energy consumption investigation for a new car-following model considering driver’s memory and average speed of the vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 1038-1049.
    14. Wang, Tao & Li, Guangyao & Zhang, Jing & Li, Shubin & Sun, Tao, 2019. "The effect of Headway Variation Tendency on traffic flow: Modeling and stabilization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 566-575.
    15. Sun, Yuqing & Ge, Hongxia & Cheng, Rongjun, 2019. "A car-following model considering the effect of electronic throttle opening angle over the curved road," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    16. Wang, Xue & Xue, Yu & Cen, Bing-ling & Zhang, Peng & He, Hong-di, 2020. "Study on pollutant emissions of mixed traffic flow in cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    17. Jiang, Changtao & Cheng, Rongjun & Ge, Hongxia, 2018. "Effects of speed deviation and density difference in traffic lattice hydrodynamic model with interruption," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 900-908.
    18. 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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