Abstract
The headways between vehicles in the traffic flow of intersections are one of the crucial variables for reasonable signal timing setting and intersection configuration design. Many studies apply constant discharge headways to calculate the saturation flow rate, and scarce studies quantitatively investigate the relationship of headway and speed in the saturation flow. This study endeavours to model the headway–speed relationships of saturation traffic flow at the signalised intersection. Five typical intersections with large traffic demand in Golden Coast City are surveyed to collect data regarding vehicles’ discharging speed and headways. The least squared method and the fitting degree test are applied to model the headway–speed relationships at the signalised intersections and compare the models’ fitting performance. The results indicate that the headway is significantly associated with speed. The headway increases with decreasing speed crossing the intersections. The empirically and quantitatively calibrated relationships between speed and headway can be used to calculate the saturation flow rate in the intersections with different discharging speeds and further support the design of intersections with large traffic demand.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Qu, X., Zhang, J., Wang, S.: On the stochastic fundamental diagram for freeway traffic: model development, analytical properties, validation, and extensive applications. Transp. Res. Part B 104, 256–271 (2016)
Xu, C., Yang, Y., Jin, S., Qu, Z., Hou, L.: Potential risk and its influencing factors for separated bicycle paths. Accid. Anal. Prev. 87, 59–67 (2016). https://doi.org/10.1016/j.aap.2015.11.014
Zhou, M., Yu, Y., Qu, X.: Development of an efficient driving strategy for connected and automated vehicles at signalized intersections: a reinforcement learning approach. IEEE Trans. Intell. Transp. Syst. (2019)
Roess, R.P., Prassas, E.S., McShane, W.R.: Traffic engineering. Pearson/Prentice Hall (2004)
Minh, C.C., Sano, K.: Analysis of motorcycle effects to saturation flow rate at signalized intersection in developing countries. J. Eastern Asia Soc. Transp. Stud. 5, 1211–1222 (2003)
Li, X., Ghiasi, A., Xu, Z., Qu, X.: A piecewise trajectory optimization model for connected automated vehicles: exact optimization algorithm and queue propagation analysis. Transp. Res. Part B: Methodol. 118, 429–456 (2018)
Zhang, J., Qu, X., Wang, S.: Reproducible generation of experimental data sample for calibrating traffic flow fundamental diagram. Transp. Res. Part A: Policy Pract. 111, 41–52 (2018)
Akcelik, R.: Traffic Signals: Capacity and Timing Analysis. ARRB, Australia (1981)
Rahman, M.M., Nur-Ud-Deen, S., Hassan, T.: Comparison of saturation flow rate at signalized intersections in Yokohama and Dhaka. Proc. Eastern Asia Soc. Transp. Stud. 5, 959–966 (2005)
Tarko, A.P., Tracz, M.: Uncertainty in saturation flow predictions. Red 1, P2 (2000)
Qu, X., Wang, S., Zhang, J.: On the fundamental diagram for freeway traffic: a novel calibration approach for single-regime models. Transp. Res. Part B: Methodol. 73, 91–102 (2015)
Teply, S., Allingham, D. I., Richardson, D. B., Stephenson, B.W.: Committee on the Development of the Canadian Urban Transportation Capacity Guide, Canadian Capacity Guide for Signalized Intersection, Canada (2008)
Transportation Research Board: Highway Capacity Manual. Transportation Research Board, National Research Council, Washington, DC, USA (2010)
Koonce, P., Rodegerdts, L.: Traffic signal timing manual (No. FHWA-HOP-08-024). United States. Federal Highway Administration (2008)
Ren, L., Qu, X., Guan, H., Easa, S., Oh, E.: Evaluation of roundabout capacity models: an empirical case study. J. Transp. Eng. ASCE 142(12), 04016066 (2016)
Li, H., Prevedouros, P.: Detailed observations of saturation headways and start-up lost times. Transp. Res. Record: J. Transp. Res. Board, 1802, 44–53 ((2002))
Shao, C.Q., Rong, J., Liu, X.M.: Study on the saturation flow rate and its influence factors at signalized intersections in China. Procedia-Soc. Behav. Sci. 16, 504–514 (2011)
Greenberg, H.: An analysis of traffic flow. Oper. Res. 7(1), 79–85 (1959)
Underwood, R.T.: Speed, volume, and density relationships. In: Quality and Theory of Traffic Flow. Bureau of Highway Traffic. Yale University, New Haven, CT (1961)
Abdi, H.: The method of least squares, encyclopedia of measurement and statistics. CA, USA: Thousand Oaks (2007)
Draper, N.R. Smith, H.: Applied Regression Analysis, vol. 326. Wiley (1998)
Cottrell, A., 2003. Regression analysis: basic concepts, Wake Forest University, Department of Economics, ECN, 215
Hyndman, R.J., Koehler, A.B.: Another look at measures of forecast accuracy. Int. J. Forecast. 22(4), 679–688 (2006)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Teng, Y., Xu, J., Gao, K., Zeng, Z. (2020). Modelling the Relationships Between Headway and Speed in Saturation Flow of Signalised Intersections. In: Qu, X., Zhen, L., Howlett, R.J., Jain, L.C. (eds) Smart Transportation Systems 2020. Smart Innovation, Systems and Technologies, vol 185. Springer, Singapore. https://doi.org/10.1007/978-981-15-5270-0_16
Download citation
DOI: https://doi.org/10.1007/978-981-15-5270-0_16
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-5269-4
Online ISBN: 978-981-15-5270-0
eBook Packages: EngineeringEngineering (R0)