TY - JOUR

T1 - Dynamic Signal Timing at Urban Intersections: Cycle-Based Delay Classification and Multi-Period Optimization

AU - Го, Чжао

AU - Крылатов, Александр Юрьевич

AU - Ван, Дань

PY - 2025/10/24

Y1 - 2025/10/24

N2 - This paper addresses the optimization of traffic signal timing at urban intersections by introducing a dynamic green ratio allocation framework based on cycle-based delay classification. Conventional methods such as the Webster delay model often fail to capture the asymmetric delay characteristics and the impact of fluctuating flows across multiple cycles. We propose a novel approach that classifies cycles into undersaturated and oversaturated states and develops dedicated optimization models for each type. For undersaturated cycles, a new delay function is derived to accurately capture the interaction between queue dissipation and green time allocation, enabling multi-period minimization of total vehicle delay. For oversaturated cycles, queue minimization at the end of each phase is adopted to accelerate congestion dissipation. The framework is validated through simulation and compared with existing methods, demonstrating superior performance in congestion clearance and delay minimization. The results show improved adaptability to changing traffic conditions and enhanced practicality for real-time signal control in smart transportation systems.

AB - This paper addresses the optimization of traffic signal timing at urban intersections by introducing a dynamic green ratio allocation framework based on cycle-based delay classification. Conventional methods such as the Webster delay model often fail to capture the asymmetric delay characteristics and the impact of fluctuating flows across multiple cycles. We propose a novel approach that classifies cycles into undersaturated and oversaturated states and develops dedicated optimization models for each type. For undersaturated cycles, a new delay function is derived to accurately capture the interaction between queue dissipation and green time allocation, enabling multi-period minimization of total vehicle delay. For oversaturated cycles, queue minimization at the end of each phase is adopted to accelerate congestion dissipation. The framework is validated through simulation and compared with existing methods, demonstrating superior performance in congestion clearance and delay minimization. The results show improved adaptability to changing traffic conditions and enhanced practicality for real-time signal control in smart transportation systems.

KW - cycle-based delay classification

KW - dynamic green ratio allocation

KW - queue minimization

KW - signal timing optimization

KW - smart transportation systems

UR - https://www.mendeley.com/catalogue/a85781f6-bd3f-362c-9a93-e95b3ea96def/

U2 - 10.3390/math13213386

DO - 10.3390/math13213386

M3 - Article

VL - 13

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 21

M1 - 3386

ER -