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Theory of jam-absorption driving

Author

Listed:
  • Nishi, Ryosuke
  • Tomoeda, Akiyasu
  • Shimura, Kenichiro
  • Nishinari, Katsuhiro

Abstract

“Can a single car really absorb a traffic jam without making new jams?” In this paper, we focus on this frequently-discussed question, and have succeeded in making a theoretical framework of a driving technique how to absorb a traffic jam by using a minimal microscopic model. Jam-absorption driving comes from Beaty (Beaty, 1998; Beaty, 2013), and it is composed of a sequence of two actions termed the “slow-in” and “fast-out”. The “slow-in” is the action to avoid being captured by a jam and remove it by decelerating and taking a longer headway in advance. The “fast-out” is performed after the “slow-in”, and it is the action to follow the car in front without unnecessary time gaps by accelerating quickly. In our theoretical framework, we have represented the recipe of the actions such as the time–space points and the velocity. Moreover, we have clarified the condition of no secondary jams due to this driving, i.e., the condition that compression and expansion waves caused by this driving meet each other and disappear. Particularly, we have calculated how these waves propagates to the following cars and the point where and when they disappear. Besides, we have analyzed how this point moves in time–space diagrams by varying the timing to start the jam-absorption, and revealed that the pattern of this movement is not constant but changes greatly by the velocity-headway relationships. Furthermore, as a more realistic problem, we have formulated the driving for jam-absorption in two steps of deceleration, which brings rich patterns of collisions among compression and expansion waves.

Suggested Citation

  • Nishi, Ryosuke & Tomoeda, Akiyasu & Shimura, Kenichiro & Nishinari, Katsuhiro, 2013. "Theory of jam-absorption driving," Transportation Research Part B: Methodological, Elsevier, vol. 50(C), pages 116-129.
    • Handle: RePEc:eee:transb:v:50:y:2013:i:c:p:116-129
    DOI: 10.1016/j.trb.2013.02.003
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    References listed on IDEAS

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    1. Paul I. Richards, 1956. "Shock Waves on the Highway," Operations Research, INFORMS, vol. 4(1), pages 42-51, February.
    2. Smulders, Stef, 1990. "Control of freeway traffic flow by variable speed signs," Transportation Research Part B: Methodological, Elsevier, vol. 24(2), pages 111-132, April.
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    Citations

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    Cited by:

    1. Ito, Kotaro & Nishi, Ryosuke, 2023. "Influence of self-disassembly of bridges on collective flow characteristics of swarm robots in a single-lane and periodic system with a gap," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    2. Nishi, Ryosuke, 2020. "Theoretical conditions for restricting secondary jams in jam-absorption driving scenarios," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    3. Taniguchi, Yohei & Nishi, Ryosuke & Ezaki, Takahiro & Nishinari, Katsuhiro, 2015. "Jam-absorption driving with a car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 433(C), pages 304-315.
    4. Han, Youngjun & Chen, Danjue & Ahn, Soyoung, 2017. "Variable speed limit control at fixed freeway bottlenecks using connected vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 98(C), pages 113-134.
    5. Nagahama, Akihito & Yanagisawa, Daichi & Nishinari, Katsuhiro, 2017. "Dependence of driving characteristics upon follower–leader combination," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 503-516.
    6. Jiang, Yangsheng & Cong, Hongwei & Wang, Yi & Wu, Yunxia & Li, Hongwu & Yao, Zhihong, 2023. "A new control strategy of CAVs platoon for mitigating traffic oscillation in a two-lane highway," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    7. Li, Li & Li, Xiaopeng, 2019. "Parsimonious trajectory design of connected automated traffic," Transportation Research Part B: Methodological, Elsevier, vol. 119(C), pages 1-21.
    8. Nishi, Ryosuke & Watanabe, Takashi, 2022. "System-size dependence of a jam-absorption driving strategy to remove traffic jam caused by a sag under the presence of traffic instability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).

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