Modeling the movement of cars at a regulated intersection in Matlab

Authors: Minina D.N.
Published in issue: #2(67)/2022
DOI: 10.18698/2541-8009-2022-2-774
Category: Informatics, Computer Engineering and Control | Chapter: System Analysis, Control, and Information Processing, Statistics
Keywords: mathematical model, controlled intersection, queuing system, traffic at the intersection, Markov process, traffic signaling, MATLAB
Published: 23.03.2022

The article is devoted to the study of a mathematical model of the vehicles movement at a controlled intersection. A mathematical model is needed to improve the regulation of the traffic flow and increase the throughput of the intersection. To simulate traffic at an intersection with four lanes, a mathematical model was selected and implemented in the MATLAB system, in which the movement of vehicles is modeled using Markov chains with continuous time. Several measurements were made at intersections in Moscow and Yekaterinburg and the values of the average queue length at regulated intersections were obtained. An analysis of the results obtained is presented, a comparison of the mathematical model with the obtained experimental data is performed, and the standard deviation between the real data and the results of mathematical modeling is calculated.

References

[1] Chetverushkin B.N., Trapeznikova M.A., Furmanov I.R. et al. Macro- and microscopic models for description of transport motion on multilane roads. Trudy MFTI [Proceedings of Moscow Institute of Physics and Technology], 2010, no. 4, pp. 163–168 (in Russ.).

[2] Kashtalinskiy A.S. [Reducing delays on signaled crossings taking into account time irregularity of traffic]. Transportnoe planirovanie i modelirovanie. Sb. tr. Mezhd. nauch.-prakt. konf. [Ttransport Planning and Modeling. Proc. Int. Sci.-Pract. Conf.]. Sankt-Petersburg, Izd-vo SPbGASU Publ., 2016, pp. 74–82 (in Russ.).

[3] Svetofornykh del master: interv’yu s inzhenerom sluzhby ekspluatatsii [Master of treaffic lights: interview with exploitation engineer]. mos.ru: website (in Russ.). URL: https://www.mos.ru/news/item/26983073/ (accessed: 21.04.2021).

[4] Zavalishchin D.S., Timofeeva G.A. Mathematical analysis of a signalled crossing. Transport Urala [Transport of the Urals], 2008, no. 2, pp. 92–97 (in Russ.).

[5] Zavalishchin D.S., Timofeeva G.A. Study on mathematical model of a signaled crossing. Trudy IMM UrO RAN [Proceedings of the Institute of Mathematics and Mechanics Ural Branch of RAS], 2009, vol. 15, no. 4, pp. 108–119 (in Russ.).

[6] Parmar D., Gore N., Rathva D. et al. Modelling queuing of vehicles at signalized intersection. In: Transportation research. Springer, 2017, pp. 557–565. DOI: https://doi.org/10.1007/978-981-32-9042-6_44

[7] Babicheva T.S. Use of queuing theory at research and traffic optimization on the signal-controlled road intersections. Trudy MFTI [Proceedings of Moscow Institute of Physics and Technology], 2015, no. 2, c. 119–130 (in Russ.).

[8] MATLAB documentation. docs.exponenta.ru: website (in Russ.). URL: https://docs.exponenta.ru/matlab/index.html (accessed: 21.06.2021).

[9] Matematicheskaya model’ dvizheniya avtotransporta na reguliruemom perekrestke [Mathematical model of traffic on a signaled crossing]. github.com: website. URL: https://github.com/DariaMinina/intersection_project (accessed: 21.06.2021).

[10] Metodicheskie rekomendatsii po razrabotke i realizatsii meropriyatiy po organizatsii dorozhnogo dvizheniya [Methodological recommendations on development and realization of traffic organization efforts]. Ministerstvo transporta Rossiyskoy Federatsii. Prikaz ot 26 dekabrya 2018 goda N 479 [Ministry of Transport of the Russian Federation. Decree of 26 December 2018 No 479] (in Russ.).

[11] Kashtalinskiy A.S., Malyugin P.N., Petrov V.V. Method of determining optimal multiprogram control parameters on isolated intersections. Vestnik SibADI [The Russian Automobile and Highway Industry Journal], 2017, no. 3, pp. 53–62. DOI: https://doi.org/10.26518/2071-7296-2017-3(55)-53-62 (in Russ.).