vestifmИзвестия Национальной академии наук Беларуси. Серия физико-математических наукProceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series1561-24302524-2415The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"10.29235/1561-2430-2025-61-1-63-73vestifm-826Research ArticleИНФОРМАТИКАINFORMATICSАналитическая модель задержек пешеходов для алгоритма светофорного регулирования с кнопкой вызова пешеходаAn analytical model of pedestrian delay for pedestrian-actuated cycle length preserving signal traffic controlСаражинскийД. С.SarazhinskyD. S.

Саражинский Денис Сергеевич – доцент, кандидат физико-математических наук, доцент кафедры «Транспортные системы и технологии»

пр. Независимости, 65, 220013, Минск

Denis S. Sarazhinsky – Associate Professor, Ph. D. (Phy sics and Mathematics), Associate Professor in the Depart ment of Transport Systems and Technologies

65, Nezavisimosti Ave., 220013, Minsk

sarazhinsky@mail.ruhttps://orcid.org/0000-0001-9300-3857КапскийД. В.KapskiD. V.

Капский Денис Васильевич – доктор технических наук, профессор, профессор кафедры «Транспортные системы и технологии»; профессор кафедры «Управление информационными ресурсами»

пр. Независимости, 65, 220013, Минск

ул. Московская, 17, 220007, Минск

Denis V. Kapski – Dr. Sc. (Engineering), Professor, Professor in the Department of Transport Systems and Te chnologies; Professor in the Department of Information Resource Management

65, Nezavisimosti Ave., 220013, Minsk

17, Moskovskaya Str., 220007, Minsk

d.kapsky@gmail.comБелорусский национальный технический университетBelarusian National Technical UniversityБелорусский национальный технический университет; Академия управления при Президенте Республики БеларусьBelarusian National Technical University; Academy of Public Administration under the President of the Republic of Belarus2025260320256116373Copyright © Саражинский Д.С., Капский Д.В., 20252025Саражинский Д.С., Капский Д.В.Sarazhinsky D.S., Kapski D.V.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://vestifm.belnauka.by/jour/article/view/826

Рассматривается проблема построения строгой аналитической модели для оценки задержек пешеходов на регулируемом перекрестке в случае, когда движение пешеходов на этом перекрестке управляется с помощью «умного» алгоритма, работающего по принципу: если «не была нажата кнопка вызова пешехода», пропустить зарезервированный схемой регулирования интервал обслуживания пешеходов и передавать неиспользованное время конфликтующим участникам движения (тем самым сохраняя длительность цикла регулирования), в противном случае активировать зарезервированный интервал и обслужить пешеходов. В предположении пуассоновского потока прибытий, на базе аппарата теории вероятностей выполняется строгое построение соответствующей модели и ее сравнение с существующим наиболее известным и используемым аналогом. С помощью вычислительного эксперимента показывается, что предложенная модель намного более точная и корректная, чем этот аналог. В завершение выполняется первичный анализ модели с результатами, позволяющими оценивать целесообразность введения такого алгоритма управления с точки зрения значительности роста индивидуальных задержек пешеходов. 

This paper considers the problem of developing a rigorous analytical model for estimating pedestrian delays at a signalized intersection when the pedestrian traffic at this intersection is controlled by a “smart” algorithm that operates according to the following principle: if “the pedestrian call button has not been pressed”, skip the pedestrian service interval reserved by the control scheme and pass the unused time to conflicting road users (thereby preserving the length of the control cycle), otherwise activate the reserved interval and serve the pedestrians. Under the assumption of a Poisson process of arrivals, a rigorous development of the corresponding model and its comparison with the existing best-known and used analogue is performed based on the apparatus of probability theory. By means of a computational experiment it is shown that the proposed model is much more accurate and correct than this analogue. Finally, a primary analysis of the model is performed, with results allowing to assess the appropriateness of implementing such a control algorithm in terms of the significant increase in individual pedestrian delays.

алгоритмы светофорного регулированияуправление с кнопкой вызова пешеходазадержка пешеходованалитическая модельвалидация на базе имитационного экспериментаинтеллектуальные транспортные системыsignal traffic control algorithmspedestrian-actuated controlpedestrian delayanalytical modelsimulation-based validationintelligent transportation systemReferencesUnited Nations Economic Commission for Europe. A Handbook on Sustainable Urban Mobility and Spatial Planning: Promoting Active Mobility. UN, 2020. 234 p. https://doi.org/10.18356/8d742f54-enUnited Nations Economic Commission for Europe. A Handbook on Sustainable Urban Mobility and Spatial Planning: Promoting Active Mobility. UN, 2020. 234 p. https://doi.org/10.18356/8d742f54-enInose H., Hamada T. Road Traffic Control. University of Tokyo Press, 1975. 331 p.Inose H., Hamada T. Road Traffic Control. University of Tokyo Press, 1975. 331 p.National Academies of Sciences, Engineering, and Medicine. Traffic Signal Control Strategies for Pedestrians and Bicyclists. Washington, DC: The National Academies Press, 2022. https://doi.org/10.17226/26491National Academies of Sciences, Engineering, and Medicine. Traffic Signal Control Strategies for Pedestrians and Bicyclists. Washington, DC: The National Academies Press, 2022. https://doi.org/10.17226/26491Buslenko N. P. Modeling of Complex Systems. Moscow, Nauka Publ., 1978. 400 p. (in Russian).Buslenko N. P. Modeling of Complex Systems. Moscow, Nauka Publ., 1978. 400 p. (in Russian).Sovetov B. Ya., Yakovlev S. A. System Modeling. Moscow, Vysshaya shkola Publ., 2007. 343 p. (in Russian).Sovetov B. Ya., Yakovlev S. A. System Modeling. Moscow, Vysshaya shkola Publ., 2007. 343 p. (in Russian).Kharin Yu. S., Malyugin V. I., Kirlitsa V. P., Lobach V. I. Fundamentals of Simulation and Statistical Modeling. Minsk, Dizain PRO Publ., 1997. 288 p. (in Russian).Kharin Yu. S., Malyugin V. I., Kirlitsa V. P., Lobach V. I. Fundamentals of Simulation and Statistical Modeling. Minsk, Dizain PRO Publ., 1997. 288 p. (in Russian).Akçelik R., Besley M. Microsimulation and analytical methods for modelling urban traffic. Paper presented at the Conference on Advance Modeling Techniques and Quality of Service in Highway Capacity Analysis, Truckee, California, USA, July 2001. 19 р.Akçelik R., Besley M. Microsimulation and analytical methods for modelling urban traffic. Paper presented at the Conference on Advance Modeling Techniques and Quality of Service in Highway Capacity Analysis, Truckee, California, USA, July 2001. 19 р.Gavric S., Sarazhinsky D., Stevanovic A., Dobrota N. Development and evaluation of non-traditional pedestrian timing treatments for coordinated signalized intersections. Transportation Research Record: Journal of the Transportation Research Board, vol. 2677, iss. 1, pp. 460–474. https://doi.org/10.1177/03611981221099913Gavric S., Sarazhinsky D., Stevanovic A., Dobrota N. Development and evaluation of non-traditional pedestrian timing treatments for coordinated signalized intersections. Transportation Research Record: Journal of the Transportation Research Board, vol. 2677, iss. 1, pp. 460–474. https://doi.org/10.1177/03611981221099913Feng-Bor Lin. A simulation analysis of pedestrian actuated traffic signal control system. Transportation Research, 1978, vol. 12, iss. 1, pp. 21–28. https://doi.org/10.1016/0041-1647(78)90103-xFeng-Bor Lin. A simulation analysis of pedestrian actuated traffic signal control system. Transportation Research, 1978, vol. 12, iss. 1, pp. 21–28. https://doi.org/10.1016/0041-1647(78)90103-xGavric S., Erdagi I. G., Stevanovic A. Environmental Assessment of Incorrect Automated Pedestrian Detection and Common Pedestrian Timing Treatments at Signalized Intersections. Sustainability, 2024, vol. 16, no. 11, art. ID 4487. https://doi.org/10.3390/su16114487Gavric S., Erdagi I. G., Stevanovic A. Environmental Assessment of Incorrect Automated Pedestrian Detection and Common Pedestrian Timing Treatments at Signalized Intersections. Sustainability, 2024, vol. 16, no. 11, art. ID 4487. https://doi.org/10.3390/su16114487COLOMBO Deliverable 2.2: Policy Definition and dynamic Policy Selection Algorithms, 2014. Available at: https://elib.dlr.de/96128/1/COLOMBO_D2.2_PolicySelectionDefinition_v1.9.pdf (accessed 5 August 2024).COLOMBO Deliverable 2.2: Policy Definition and dynamic Policy Selection Algorithms, 2014. Available at: https://elib.dlr.de/96128/1/COLOMBO_D2.2_PolicySelectionDefinition_v1.9.pdf (accessed 5 August 2024).Traffic Signs Manual: Chapter 9. Traffic Signals. Spain, Department Transport, Tourism and Sport, 2019. Available at: https://assets.gov.ie/34735/fb85c77684d045b495b70335d8d3cf20.pdf (accessed 5 August 2024).Traffic Signs Manual: Chapter 9. Traffic Signals. Spain, Department Transport, Tourism and Sport, 2019. Available at: https://assets.gov.ie/34735/fb85c77684d045b495b70335d8d3cf20.pdf (accessed 5 August 2024).Rouphail N., Tarko A., Li J. Traffic flow at signalized intersections, 1997. Available at: https://www.fhwa.dot.gov/publications/research/operations/tft/chap9.pdf (accessed 5 August 2024).Rouphail N., Tarko A., Li J. Traffic flow at signalized intersections, 1997. Available at: https://www.fhwa.dot.gov/publications/research/operations/tft/chap9.pdf (accessed 5 August 2024).Daley D. J., Vere-Jones D. An Introduction to the Theory of Point Processes. Vol. 2. General Theory and Structure. Springer, New York, 2008. https://doi.org/10.1007/978-0-387-49835-5Daley D. J., Vere-Jones D. An Introduction to the Theory of Point Processes. Vol. 2. General Theory and Structure. Springer, New York, 2008. https://doi.org/10.1007/978-0-387-49835-5Wang X., Tian Z. Z., Ohene F., Koonce P. J. V. Pedestrian Delay Models at Signalized Intersections Considering Signal Phasing and Pedestrian Treatment Alternatives. Presented at 88th Annual Meeting of the Transportation Research Board. Washington, D. C., 2009. Available at: https://trid.trb.org/view.aspx?id=881786Wang X., Tian Z. Z., Ohene F., Koonce P. J. V. Pedestrian Delay Models at Signalized Intersections Considering Signal Phasing and Pedestrian Treatment Alternatives. Presented at 88th Annual Meeting of the Transportation Research Board. Washington, D. C., 2009. Available at: https://trid.trb.org/view.aspx?id=881786

The authors declare that there are no conflicts of interest present.