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Abstract

As urban traffic complexity continues to rise, challenges related to traffic efficiency, fuel consumption, and safety are becoming increasingly critical. These issues underline the need for multi-objective trajectory optimization models, particularly in environments where both automated and human-driven vehicles coexist. Therefore, this paper developed a multi-objective trajectory planning model utilizing the TD3 algorithm. Here, we design the state space, action space, and reward function, where the state space encompasses variables such as speed, relative speed, distance to the stop line, relative position, phase state, and remaining phase duration, and the action space outputs optimal acceleration and deceleration. The reward function integrates multiple objectives, including safety, fuel consumption, and traffic efficiency. The model is verified using the SUMO tool, examining different levels of CAV penetration and varying traffic flows. The results demonstrate that as CAV penetration increases, vehicle trajectories become increasingly smooth, leading to reductions in average travel time, fuel consumption, and queue length. Specifically, at 100% CAV penetration with a traffic flow of 600 pcu/h, the highest optimization rate for average travel time reaches 15.38%. For average fuel consumption, the peak optimization rate of 19.53% occurs at a traffic flow of 800 pcu/h. Furthermore, under conditions of 300 pcu/h and 400 pcu/h traffic flow, 100% CAV penetration eliminates queues entirely. Beyond 400 pcu/h, minimal queues form with 100% CAV penetration. These results indicate that autonomous driving technology can effectively enhance the efficiency and sustainability of transportation systems, providing robust support for urban traffic management strategies. In particular, under high-density and mixed traffic conditions, the trajectory optimization model significantly improves traffic flow, reduces congestion, decreases energy consumption, and lowers the incidence of traffic accidents, thereby offering a theoretical foundation for the implementation of intelligent transportation systems.

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Title
Multi-objective trajectory planning for connected and autonomous vehicles in mixed traffic flow
Author
Li, Hui 1   VIAFID ORCID Logo  ; Ge, Yunfei 1 ; Guo, Yahui 2 ; Guan, Yu 3 ; Zhang, Xu 1 

 Henan University of Technology, School of Civil Engineering, Zhengzhou, China (GRID:grid.412099.7) (ISNI:0000 0001 0703 7066) 
 Henan University of Technology, School of Civil Engineering, Zhengzhou, China (GRID:grid.412099.7) (ISNI:0000 0001 0703 7066); CSCEC Xinjiang Construction & Engineering Group CO.Ltd, Urumqi, China (GRID:grid.412099.7) 
 Wuhan University of Technology, School of Transportation and Logistics Engineering, Wuhan, China (GRID:grid.162110.5) (ISNI:0000 0000 9291 3229) 
Volume
72
Issue
1
Pages
91
Publication year
2025
Publication date
Dec 2025
Publisher
Springer Nature B.V.
Place of publication
Cairo
Country of publication
Netherlands
Publication subject
ISSN
11101903
Source type
Scholarly Journal
Language of publication
English
Document type
Journal Article
Publication history
 
 
Online publication date
2025-06-23
Milestone dates
2025-06-04 (Registration); 2024-09-05 (Received); 2025-06-03 (Accepted)
Publication history
 
 
   First posting date
23 Jun 2025
ProQuest document ID
3223512877
Document URL
https://www.proquest.com/scholarly-journals/multi-objective-trajectory-planning-connected/docview/3223512877/se-2?accountid=208611
Copyright
Copyright Springer Nature B.V. Dec 2025
Last updated
2025-06-24
Database
ProQuest One Academic