Cycle-Length Optimization of Isolated Signalized Intersection with Mixed-Traffic Condition
Publication: Journal of Transportation Engineering, Part A: Systems
Volume 150, Issue 1
Abstract
For signalized intersections with mixed traffic conditions, pedestrians and bicyclists (P&Bs) affect the vehicle saturation flow rate (SFR), which further influences the cycle length. However, existing studies always consider the effect of P&Bs on vehicle SFR as a constant, which is actually time-variant according to the P&Bs crossing state. Thus, it is necessary to consider this characteristic when determining the cycle length. This study developed a cycle-length model that considers the time-variant effect of P&Bs. The vehicle SFR is first modified using the adjustment factor method. By substituting the modified vehicle SFR into Webster’s delay formula, the numerical solutions of the optimal cycle were derived by considering the minimum vehicle delay as the target. Thereafter, using linear regression of the optimal and minimum cycles, the model was simplified, and an analytical solution of the optimal cycle was derived. The average deviation caused by simplification was 1.95%. The optimality of the model was validated by simulation, with significant reduction in vehicle delay compared with the traditional highway capacity manual (HCM) method.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author by request.
Acknowledgments
This study was supported by the National Natural Science Foundation of China (52131204 and 52272336) and the Fundamental Research Funds for the Central Universities (2022-5-YB-05 and 22120220580).
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Published In
Journal of Transportation Engineering, Part A: Systems
Volume 150 • Issue 1 • January 2024
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Dec 26, 2022
Accepted: Aug 31, 2023
Published online: Nov 3, 2023
Published in print: Jan 1, 2024
Discussion open until: Apr 3, 2024
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