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CLC number: U491.2

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 2013-09-12

Cited: 4

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Journal of Zhejiang University SCIENCE A 2013 Vol.14 No.10 P.691-704

http://doi.org/10.1631/jzus.A1300208


Analysis of delay variability at isolated signalized intersections*


Author(s):  Peng Chen1, Huan Liu2, Hong-sheng Qi3, Fu-jian Wang3

Affiliation(s):  1. Department of Civil Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8601, Japan; more

Corresponding email(s):   chenpeng.tjjt@gmail.com

Key Words:  Delay variability, Signalized intersection, Cumulative curves, Markov chain


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Peng Chen, Huan Liu, Hong-sheng Qi, Fu-jian Wang. Analysis of delay variability at isolated signalized intersections[J]. Journal of Zhejiang University Science A, 2013, 14(10): 691-704.

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author="Peng Chen, Huan Liu, Hong-sheng Qi, Fu-jian Wang",
journal="Journal of Zhejiang University Science A",
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pages="691-704",
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publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1300208"
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%DOI 10.1631/jzus.A1300208

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T1 - Analysis of delay variability at isolated signalized intersections
A1 - Peng Chen
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DOI - 10.1631/jzus.A1300208


Abstract: 
On urban arterials, travel time variability is largely dependent on the variability in the delays vehicles experience at signalized intersections. The interpretation of delay evolvement at intersections will give a comprehensive insight into arterial travel time variability and provide more possibilities for travel time estimation. Accordingly, an analytical model is proposed to study delay variability at isolated, fixed-time controlled intersections. Classic cumulative curves are utilized to derive average delay (per cycle) formulas by assuming a deterministic overflow queue. Then, an analogy with the markov chain process is made to clarify the mechanism of stochastic delays and overflow queues at signalized intersections. It was found that, in undersaturated cases, the shape of the delay distribution changes very little over time, whereas for saturated and oversaturated cases the delay distribution is time-dependent and becomes flatter with an increasing number of cycles. The analysis of arrival distributions, e.g., Poisson and binomial, produces the conclusion that the variability of arrivals has a significant effect on delay estimates in both undersaturated and oversaturated conditions. A larger variance of arrival flow results in a larger variance of delay distribution. All of these analyses can help road authorities to gain insights into arterial travel time variability.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

References

[1] Abdy, Z., Hellinga, B., 2008. Modeling day-to-day variability of intersection performance using microsimulation. Transportation Research Record: Journal of the Transportation Research Board, 2088:18-25. 


[2] Akcelik, R., 1981.  Traffic Signals: Capacity and Timing Analysis. Research Report No. 123. Australian Road Research Board,Vermount South :

[3] Akcelik, R., Rouphail, N.M., 1994. Overflow queues and delays with random and platooned arrivals at signalized intersections. Journal of Advanced Transportation, 28(3):227-251. 


[4] Ban, X.G., Herring, R., Bayen, A.M., 2009. Delay pattern estimation for signalized intersections using sampled travel times. Transportation Research Record: Journal of the Transportation Research Board, 2130:109-119. 

[5] Ban, X.G., Hao, P., Sun, Z.B., 2011. Real time queue length estimation for signalized intersections using sample travel times from mobile sensors. Transportation Research Part C: Emerging Technologies, 19(6):1133-1156. 

[6] Brilon, W., Wu, N., 1990. Delays at fix-time traffic signals under time-dependent traffic conditions. Traffic Engineering and Control, 31(12):623-631. 

[7] Chen, P., Nakamura, H., Asano, M., 2011. Analysis of Saturation Flow Rate Fluctuation for Shared Left-turn Lane at Signalized Intersections in Japan: a Case Study. , TRB 90th Annual Meeting, Washington DC, :

[8] Dion, F., Rakha, H., Kang, Y.S., 2004. Comparison of delay estimates at under-saturated and over-saturated pre-timed signalized intersections. Transportation Research Part B: Methodological, 38(2):99-122. 


[9] Dunne, M.C., 1967. Traffic delay at a signalized intersection with binomial arrivals. Transportation Science, 1(1):24-31. 


[10] Fu, L., Hellinga, B., 2000. Delay variability at signalized intersections. Transportation Research Record: Journal of the Transportation Research Board, 1710:215-221. 


[11] Gu, X., Lan, C., 2009. Estimation of Delay and Its Variability at Signalized Intersections. , TRB 88th Annual Meeting, Washington DC, :

[12] HCM (Highway Capacity Manual), 2000.  . Transportation Research Board,Washington DC :

[13] HCM (Highway Capacity Manual), 2010.  . Transportation Research Board,Washington DC :

[14] Jin, S., Huang, Z.Y., Tao, P.F., Wang, D.H., 2011. Car-following theory of steady-state traffic flow using time-to-collision. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 12(8):645-654. 


[15] Li, L., Shi, P., 2006. Numerical analysis on car-following traffic flow models with delay time. Journal of Zhejiang University-SCIENCE A, 7(2):204-209. 


[16] Markov, A.A., 1971. Extension of the Limit Theorems of Probability Theory to a Sum of Variables Connected in a Chain.  Dynamic Probabilistic Systems.  John Wiley and Sons,New York :552-557. 

[17] Newell, G.F., 1965. Approximation methods for queues with application to the fixed-cycle traffic light. SIAM Review, 7(2):223-240. 


[18] Olszewski, P.S., 1990. Traffic signal delay model for non-uniform arrivals. Transportation Research Record, 1287:42-53. 

[19] Olszewski, P.S., 1990. Modeling of Queue Probability Distribution at Traffic Signals.  . 11th International Symposium on Transportation and Traffic Theory, Tokyo, :

[20] Olszewski, P.S., 1994. Modeling probability distribution of delay at signalized intersections. Journal of Advanced Transportation, 28(3):253-274. 


[21] Texas Transportation Institute and Cambridge Systematics, 2006.  Travel Time Reliability: Making It There on Time, All the Time. Federal Highway Administration,USA :

[22] van Zuylen, H.J., 1985. The Dynamics of Queues at Traffic Lights.  Dutch Lecture Notes VB41. Tilburg,Verkeersakademie :

[23] van Zuylen, H.J., Viti, F., 2007. A Probabilistic Model for Queues, Delays and Waiting Time at Controlled Intersections. , TRB 86th Annual Meeting, Washington DC, :

[24] Viti, F., 2006.  The Dynamics and the Uncertainty of Delays at Signals. PhD Thesis, Delft University of Technology,Delft, the Netherlands :

[25] Webster, F.V., 1958.  Traffic Signal Settings. Road Research Laboratory Technical Paper. Her Majesty Stationary Office,London :

[26] Zheng, F., van Zuylen, H.J., 2010. Uncertainty and predictability of urban link travel time: a delay distribution based analysis. Transportation Research Record: Journal of the Transportation Research Board, 2192:136-146. 

[27] Zheng, F.F., 2011.  Modeling Urban Travel Time. PhD Thesis, Delft University of Technology,Delft, the Netherlands :


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