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Preprint submited to Physica A: Statistical Mechanics and its Applications
Fundamental diagram and stability of mixed traffic flow considering platoon size and intensity of
connected automated vehicles
Abstract
Keywords: Mixed traffic flow; Platoon size; Platoon intensity; Fundamental diagram; Stability
to: Yangsheng Jiang, School of Transportation and Logistics, Southwest Jiaotong University, Chengdu, Sichuan
610031, China, E-mail:
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1. Introduction
[35]
[912][1316]
[1719]
[2022]
[2628]
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2. Literature review
2.1.
2.2.
2.3.
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[4951]
[2022,54,55]
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This paper
3. Mixed traffic flow model
3.1.
3.1.1 Spatial distribution of vehicles
Maximum platoon size:
H C
Platoon size: （）
HH LC FC DC
H
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3.1.2 Platoon intensity
H C
(a) Mixed state
Platoon size:
Platoon size:
Platoon size:
(b) Random state
(c) Separated state
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3.2.
H C
Platoon -- Vehicle Platoon -- Vehicle
HH LC FC DC
H Maximum platoon size: Platoon size: （）
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Lemma 1.
Proof.
Scenario A:
Scenario B:
Scenario C: ,
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3.3.
3.3.1 Human-driven vehicles mode
3.3.2 Gap-regulating mode
3.3.3 Cooperative adaptive cruise control mode
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3.3.4 Adaptive cruise control mode
4. Fundamental diagram
4.1.
4.2.
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Lemma 2.
Proof.
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Scenario C:
4.3.
4.3.1 Scenario A: when
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4.3.2 Scenario B: when
4.3.3 Scenario C: when and
4.3.3.1. Maximum platoon size
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(a)
(b)
(c)
(d)
(e)
(f) Capacity
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4.3.3.2. Platoon intensity
(a)
(b)
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(c)
(d)
(e)
(f) Capacity
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4.3.3.3. The penetration rate of CAVs
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(c)
(d)
(e)
(f) Capacity
(a)
(b)
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(e)
(f) Capacity
and
5. Stability analysis
5.1.
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5.2.
5.2.1 Scenario A: when
5.2.2 Scenario B:when
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(a)
(b)
(c)
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5.2.3 when and
5.2.3.1. Maximum platoon size
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5.2.3.2. Platoon intensity
5.2.3.3. The penetration rate of CAVs
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6. Conclusions and Future Work
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Declaration of Competing Interest
CRediT authorship contribution statement
Zhihong Yao:
Qiufan Gu:
Yangsheng Jiang:
Bin Ran:
Acknowledgments
References
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