ABSTRACTS OF ARTICLES OF THE JOURNAL "INFORMATION TECHNOLOGIES".
No. 4. Vol. 25. 2019

DOI: 10.17587/it.25.210-215

G. D. Antoniadi, Graduate Student, george@antoniadi.com, V. O. Arkhipov, Graduate Student, arvlol@yandex.ru,
A. A. Tsouprikov, Ph. D., Associate Professor, tsouprikov@mail.ru, Federal State Budgetary Educational Institution of Higher Education " Kuban State Technological University"

Mathematical Model of Transport Delay at the Crossroads

Comparative analysis of delay models Bekmanna and Webster, the calculated values of the transport delay for the real traffic conditions at different durations of traffic signals, the intensities of arrival and travel of cars, size of a queue before the stop line, their shortcomings are revealed to control the traffic signals. It is found that for the Beckmann model, the intensity of the separation should be greater than the intensity of the arrival, and the quantitative values of the arrival/departure intensities and the size of the queue slightly affect the delay time.
The basic rules for choosing the duration of the resolving signal of the traffic light depending on the intensity of the transport arrival are considered: if it is less than or equal to the capacity of the intersection, the time of the green signal should correspond to the intensity of arrival and be maintained until the end of the queue, if it exceeds, the traffic light switches the signals in "hard mode" — for a time proportional to the number of bands on the intersecting directions.
A new model of vehicle delay at a controlled intersection is considered, the physical meaning of the model components is analyzed, the significance (weight, quantitative contribution) of the parameters to the value of transport delay at the prohibiting signal of a traffic light with the formation of a queue is determined. The most significant parameter of the function of the delay is the cycle time (the duration of a forbidding signal of a traffic light) with the contribution to the delay of 33.5 %, followed by the duration of green signal of 25.63 %, the intensity of arrival and the queue — 14.16 % and 14.13 %, the intensity of the separation of 12.58 %. The model takes into account the achievement of approaching transport limit — the capacity of the intersection. The verification of the considered models for compliance with the theory of dimension is carried out.
Keywords: model of travel delays, traffic light, intensity of travel, turn intersection, the significance of the parameters

P. 210–215

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