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2018 | OriginalPaper | Chapter

A Study on Traffic Signal Waiting Model Using Queuing Theory

Authors : JoongHoon Lee, HyuckJoong Yoon, Tae-Sun Chung

Published in: Advances in Computer Science and Ubiquitous Computing

Publisher: Springer Singapore

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Abstract

This study analyzed the traffic situation by focusing on the characteristics of the customer after gaining idea from the ghost congestion phenomenon which is still congested even if the cause disappears once the congestion starts. We have developed a model that can quantitatively analyze queuing theory to apply to traffic situation. It is difficult to apply the queuing theory because the number of cars leaving the unit per hour varies greatly depending on the situation. Therefore, this study designed the model reflecting the variables that can occur in the actual traffic situation and obtained the throughput according to the situation. Simulation was carried out to verify the validity of the model. The concept of individual throughput for each customer was introduced, and the relation with the throughput was expressed through formulas. This research is useful in studying systems that have to reflect the characteristics of individual customers, or where interactions among customers play a large part in queuing.

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Literature
1.
go back to reference De Schutter, B., De Moor, B.: Optimal traffic light control for a single intersection. Eur. J. Control 4(3), 260–276 (1998)CrossRef De Schutter, B., De Moor, B.: Optimal traffic light control for a single intersection. Eur. J. Control 4(3), 260–276 (1998)CrossRef
2.
go back to reference Gartner, N.H., Little, J.D.C., Gabbay, H.: Simultaneous optimization of offsets, splits, and cycle time. Transp. Res. Rec. 596, 6–15 (1976) Gartner, N.H., Little, J.D.C., Gabbay, H.: Simultaneous optimization of offsets, splits, and cycle time. Transp. Res. Rec. 596, 6–15 (1976)
3.
go back to reference Kashani, H.R., Saridis, G.N.: Intelligent control for urban traffic systems. Automatica 19(2), 191–197 (1983)CrossRef Kashani, H.R., Saridis, G.N.: Intelligent control for urban traffic systems. Automatica 19(2), 191–197 (1983)CrossRef
4.
go back to reference Lim, J.H., et al.: Hierarchical optimal control of oversaturated urban traffic networks. Int. J. Control 33(4), 727–737 (1981)CrossRef Lim, J.H., et al.: Hierarchical optimal control of oversaturated urban traffic networks. Int. J. Control 33(4), 727–737 (1981)CrossRef
5.
go back to reference Narayan Bhat, U.: Simple Markovian queueing systems. In: An Introduction to Queueing Theory, pp. 37–83. Birkhäuser Boston (2015) Narayan Bhat, U.: Simple Markovian queueing systems. In: An Introduction to Queueing Theory, pp. 37–83. Birkhäuser Boston (2015)
6.
go back to reference Yang, S., Yang, X.: The application of the queuing theory in the traffic flow of intersection. World Acad. Sci. Eng. Technol. Int. J. Math. Comput. Phys. Electr. Comput. Eng. 8(6), 986–989 (2014)MathSciNet Yang, S., Yang, X.: The application of the queuing theory in the traffic flow of intersection. World Acad. Sci. Eng. Technol. Int. J. Math. Comput. Phys. Electr. Comput. Eng. 8(6), 986–989 (2014)MathSciNet
7.
go back to reference Anokye, M., et al.: Application of queuing theory to vehicular traffic at signalized intersection in Kumasi-Ashanti region, Ghana. Am. Int. J. Contemp. Res. 3(7), 23–29 (2013) Anokye, M., et al.: Application of queuing theory to vehicular traffic at signalized intersection in Kumasi-Ashanti region, Ghana. Am. Int. J. Contemp. Res. 3(7), 23–29 (2013)
8.
go back to reference Liu, Y., Lee, K.: Modeling signalized intersection using queueing theory (2009) Liu, Y., Lee, K.: Modeling signalized intersection using queueing theory (2009)
9.
go back to reference Akçelik, R.: Time-dependent expressions for delay, stop rate and queue length at traffic signals. (1980) Akçelik, R.: Time-dependent expressions for delay, stop rate and queue length at traffic signals. (1980)
10.
go back to reference Rouphail, N., Andrzej T., Li, J.: Traffic flow at signalized intersections. In: Revised Monograph on Traffic Flow Theory, Chapter 9 (1992) Rouphail, N., Andrzej T., Li, J.: Traffic flow at signalized intersections. In: Revised Monograph on Traffic Flow Theory, Chapter 9 (1992)
11.
go back to reference Akqelik, R: Stops at traffic signals (1980) Akqelik, R: Stops at traffic signals (1980)
12.
go back to reference McNeil, D.R.: A solution to the fixed-cycle traffic light problem for compound poisson arrivals. J. Appl. Probab. 5(3), 624–635 (1968)MathSciNetCrossRef McNeil, D.R.: A solution to the fixed-cycle traffic light problem for compound poisson arrivals. J. Appl. Probab. 5(3), 624–635 (1968)MathSciNetCrossRef
13.
go back to reference Newell, G.F.: Approximation methods for queues with application to the fixed-cycle traffic light. SIAM Rev. 7(2), 223–240 (1965)MathSciNetCrossRef Newell, G.F.: Approximation methods for queues with application to the fixed-cycle traffic light. SIAM Rev. 7(2), 223–240 (1965)MathSciNetCrossRef
Metadata
Title
A Study on Traffic Signal Waiting Model Using Queuing Theory
Authors
JoongHoon Lee
HyuckJoong Yoon
Tae-Sun Chung
Copyright Year
2018
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-10-7605-3_221