An Improved CTM Model for Urban Signalized Intersections and Exploration of Traffic Evolution

Arlinda A. Rrecaj, Vlera Alimehaj, Marija Malenkovska, Cvetko Mitrovski

Abstract


In this paper is going to be proposed a Cell Transmission Model (CTM), its analysis and evaluation with a case study, which addresses in a detailed way the aspect of merging and diverging operations on urban arterials. All those few CTM models that have been developed so far, to model intersections, have some limitations and drawbacks. First, unlike the simple composition road networks, such as highways, urban arterials must include some complex parts called merge sand diverges, due to the fact of vibrational values of reduced capacity, reduced saturation flow rate, etc. In order to simulate an urban network/arterial it is not possible to neglect the traffic signal indication on the respective time step. The objective of this paper is to highlight the difference between the results of the original CTM and our proposed CTM and to provide evidence that the later one is better than the old one.  The proposed and formulated model will be employed through an algorithm of CTM to model a segment- arterial road of Pristina (compound from signalized intersections). For the functionalization and testing of the proposed model is build the experimental setup that is compatible with the algorithm created on C# environment. Results show that the proposed model can describe light and congested traffic condition. In light traffic conditions, in great mass traffic flow is dictated by the traffic signal status, while in medium congestion is obtained a rapid increase of the density to each cell. Fluctuations of the density from the lowest to the highest values are obvious during the first three cycles to all cells of the artery in a congested traffic state.

 

Doi: 10.28991/cej-2021-03091659

Full Text: PDF


Keywords


Cell Transmission Model; Urban Traffic; Merge and Diverge; Intercell Flow; Traffic Congestion.

References


Barceló, Jaume, ed. “Fundamentals of Traffic Simulation.” International Series in Operations Research & Management Science (2010). doi:10.1007/978-1-4419-6142-6.

Chen, Xiqun, Li Li, and Qixin Shi. “Stochastic Evolutions of Dynamic Traffic Flow: Modeling and Applications” (2015). doi:10.1007/978-3-662-44572-3.

M.J. Lighthill; G.B. Whitham “On Kinematic Waves II. A Theory of Traffic Flow on Long Crowded Roads.” Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 229, no. 1178 (May 10, 1955): 317–345. doi:10.1098/rspa.1955.0089.

Daganzo, C. F. "The cell transmission model. Part I: A simple dynamic representation of highway traffic. Berkeley, CA: Institute of Transportation Studies." University of California, Berkeley (1993).

Daganzo, Carlos F. “The Cell Transmission Model, Part II: Network Traffic.” Transportation Research Part B: Methodological 29, no. 2 (April 1995): 79–93. doi:10.1016/0191-2615(94)00022-r.

Daganzo, Carlos F. “The Cell Transmission Model: A Dynamic Representation of Highway Traffic Consistent with the Hydrodynamic Theory.” Transportation Research Part B: Methodological 28, no. 4 (August 1994): 269–287. doi:10.1016/0191-2615(94)90002-7.

Munoz, L., Xiaotian Sun, R. Horowitz, and L. Alvarez. “Traffic Density Estimation with the Cell Transmission Model.” Proceedings of the 2003 American Control Conference, (2003). doi:10.1109/acc.2003.1240418.

Portugais, Brian, and Mandar Khanal. "State-Space Models with Kalman Filtering for Freeway Traffic Forecasting." International Journal of Modern Engineering 15, no. 1 (2014): 11-14.

Sun, Xiaotian. Modeling, estimation, and control of freeway traffic. No. 31-96609 UMI. University of California, Berkeley, (2005). Available online: https://ucb-trans.org/topl/diss/2005Spring_XiaotianSun__Dissertation.pdf (accessed on November 2020).

Waller, S. Travis, Yi-Chang Chiu, Natalia Ruiz-Juri, Avinash Unnikrishnan, and Brenda Bustillos. “Short Term Travel Time Prediction on Freeways in Conjunction with Detector Coverage Analysis.” No. FHWA/TX-08/0-5141-1. (2007). Available online: www.utexas.edu/research/ctr/pdf_reports/0_5141_1.pdf (accessed on November 2020).

Aligawesa, Alinda K. The detection and localization of traffic congestion for highway traffic systems using hybrid estimation techniques. Purdue University, (2009). Available online: https://docs.lib.purdue.edu/dissertations/AAI1470125/ (accessed on November 2020).

Chen, Xiqun, Qixin Shi, and Li Li. “Location Specific Cell Transmission Model for Freeway Traffic.” Tsinghua Science and Technology 15, no. 4 (August 2010): 475–480. doi:10.1016/s1007-0214(10)70090-0.

Wang, Ping. "Conditional cell transmission model for two-way arterials in oversaturated conditions." PhD diss., University of Alabama Libraries, (2010). Available online: https://ir.ua.edu/handle/123456789/770 (accessed on September 2020).

Huang, Kuo Cheng. "Traffic simulation model for urban networks: CTM-URBAN." PhD diss., Concordia University, (2011). Available online: https://spectrum.library.concordia.ca/7041/ (accessed on September 2020).

Fellendorf, Martin, and Peter Vortisch. “Microscopic Traffic Flow Simulator VISSIM.” International Series in Operations Research & Management Science (2010): 63–93. doi:10.1007/978-1-4419-6142-6_2.

Bo Xie, Ming Xu, Jerome Harri, and Yingwen Chen. “A Traffic Light Extension to Cell Transmission Model for Estimating Urban Traffic Jam.” 2013 IEEE 24th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC) (September 2013). doi:10.1109/pimrc.2013.6666579.

Papapanagiotou, Eftychios, Andreas Poschinger, and Maoyan Zeng. "CTM Based Calculation of Number of Stops and Waiting Times." In mobil. TUM 2013, p. 12. (2013). Available online: https://mediatum.ub.tum.de/doc/1256295/1256295.pdf (accessed on September 2020).

Zhao, Shuzhi, Shidong Liang, Huasheng Liu, and Minghui Ma. “CTM Based Real-Time Queue Length Estimation at Signalized Intersection.” Mathematical Problems in Engineering 2015 (2015): 1–12. doi:10.1155/2015/328712.

Adacher, Ludovica, and Marco Tiriolo. “Distributed Urban Traffic Signal Optimization Based on Macroscopic Model.” 2016 Sixth International Conference on Innovative Computing Technology (INTECH) (August 2016). doi:10.1109/intech.2016.7845123.

Chow, Andy H.F., Shuai Li, W.Y. Szeto, and David Z.W. Wang. “Modelling Urban Traffic Dynamics Based Upon the Variational Formulation of Kinematic Waves.” Transportmetrica B: Transport Dynamics 3, no. 3 (January 28, 2015): 169–191. doi:10.1080/21680566.2015.1005559.

A.Rrecaj, М. M. Todorova, “Estimation of Densities in a Cell Transmission Based Model", UPB Scientific Bulletin, Series D: Mechanical Engineering 80, no. 3:79-88.

Rrecaj, Arlinda Alimehaj, and Marija Malenkovska Todorova. “Estimating Short Time Interval Densities in a CTM-KF Model.” Advances in Science, Technology and Engineering Systems Journal 3, no. 2 (March 2018): 85–89. doi:10.25046/aj030210.

Qin, Yanyan, and Hao Wang. “Cell Transmission Model for Mixed Traffic Flow with Connected and Autonomous Vehicles.” Journal of Transportation Engineering, Part A: Systems 145, no. 5 (May 2019): 04019014. doi:10.1061/jtepbs.0000238.

Aron, Maurice, Florence Boillot, and Jean-Patrick Labacque. "Modélisation du trafic(Arcueil, 2000)." Actes INRETS (Arcueil).

Ahmed, Afzal, Satish V. Ukkusuri, Shahrukh Raza Mirza, and Ausaja Hassan. “Width-Based Cell Transmission Model for Heterogeneous and Undisciplined Traffic Streams.” Transportation Research Record: Journal of the Transportation Research Board 2673, no. 5 (April 12, 2019): 682–692. doi:10.1177/0361198119838841.


Full Text: PDF

DOI: 10.28991/cej-2021-03091659

Refbacks

  • There are currently no refbacks.




Copyright (c) 2021 Arlinda Alimehaj Rrecaj

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
x
Message