Simulated Bifurcation with High-dimensional Expansion for Traffic Signal Optimization on Real-world Networks

Fuente: arXiv
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Autori principali: Zhao, Shengda, Liu, Zhekun, Yu, Jiaxin, Ju, Bocheng, Wang, Liang, Zhang, Xiaodong, Zhang, Xinghua
Natura: Preprint
Pubblicazione: 2025
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author Zhao, Shengda
Liu, Zhekun
Yu, Jiaxin
Ju, Bocheng
Wang, Liang
Zhang, Xiaodong
Zhang, Xinghua
author_facet Zhao, Shengda
Liu, Zhekun
Yu, Jiaxin
Ju, Bocheng
Wang, Liang
Zhang, Xiaodong
Zhang, Xinghua
contents With accelerating urbanization and worsening traffic congestion, optimizing traffic signal systems to improve road throughput and alleviate congestion has become a critical issue. This study proposes a short-term traffic prediction model based on real-world road topologies and a typical four-way, eight-phase traffic signal control scheme. The model accounts for traffic flow disparities across directions and signal phase change frequencies, integrating these factors into an optimization objective for global traffic optimization. The structure of this objective function is similar to spin-glass systems in statistical physics. A Simulated Bifurcation optimization algorithm is introduced, with traditional simulated annealing as a benchmark. The results show that Simulated Bifurcation outperforms simulated annealing in both efficiency and effectiveness. Using real traffic flow and road network data from Beijing, we initialized the model and conducted numerical optimization experiments. The results indicate that Simulated Bifurcation significantly outperforms simulated annealing in computational efficiency, effectively solving combinatorial optimization problems with multiple spin interactions, and reducing the time complexity to $O(N^{1.35})$. This solution addresses the NP-hard problem of global traffic signal optimization. Importantly, the signal phase patterns generated by Simulated Bifurcation align with the operational requirements of real traffic signal systems, showcasing its potential in optimizing signal control for large, complex urban traffic networks. This work provides solid theoretical and practical foundations for future urban traffic management and intelligent transportation systems.
format Preprint
id arxiv_https___arxiv_org_abs_2502_12440
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Simulated Bifurcation with High-dimensional Expansion for Traffic Signal Optimization on Real-world Networks
Zhao, Shengda
Liu, Zhekun
Yu, Jiaxin
Ju, Bocheng
Wang, Liang
Zhang, Xiaodong
Zhang, Xinghua
Physics and Society
With accelerating urbanization and worsening traffic congestion, optimizing traffic signal systems to improve road throughput and alleviate congestion has become a critical issue. This study proposes a short-term traffic prediction model based on real-world road topologies and a typical four-way, eight-phase traffic signal control scheme. The model accounts for traffic flow disparities across directions and signal phase change frequencies, integrating these factors into an optimization objective for global traffic optimization. The structure of this objective function is similar to spin-glass systems in statistical physics. A Simulated Bifurcation optimization algorithm is introduced, with traditional simulated annealing as a benchmark. The results show that Simulated Bifurcation outperforms simulated annealing in both efficiency and effectiveness. Using real traffic flow and road network data from Beijing, we initialized the model and conducted numerical optimization experiments. The results indicate that Simulated Bifurcation significantly outperforms simulated annealing in computational efficiency, effectively solving combinatorial optimization problems with multiple spin interactions, and reducing the time complexity to $O(N^{1.35})$. This solution addresses the NP-hard problem of global traffic signal optimization. Importantly, the signal phase patterns generated by Simulated Bifurcation align with the operational requirements of real traffic signal systems, showcasing its potential in optimizing signal control for large, complex urban traffic networks. This work provides solid theoretical and practical foundations for future urban traffic management and intelligent transportation systems.
title Simulated Bifurcation with High-dimensional Expansion for Traffic Signal Optimization on Real-world Networks
topic Physics and Society
url https://arxiv.org/abs/2502.12440