MATHEMATICAL MODEL OF TRAFFIC FLOW DISTRIBUTION ACROSS THE ROADS NETWORK

Volodymyr Petrovych Polischuk; Inna Anatoliivna Vyhovska

doi:10.31435/rsglobal_ws/30122022/7994

Authors

Volodymyr Petrovych Polischuk Doctor of Technical Sciences, Professor at the National Transport University in Kyiv, Ukraine https://orcid.org/0000-0003-3145-7225
Inna Anatoliivna Vyhovska National Transport University in Kyiv, Ukraine https://orcid.org/0000-0003-1426-9863

DOI:

https://doi.org/10.31435/rsglobal_ws/30122022/7994

Keywords:

Road Network, Traffic Flow, Traffic Intensity, Traffic Management

Abstract

Due to the military conflict in Ukraine, there is a problem of restoring the road network through partial or complete reconstruction in accordance with the traffic flow intensities. Therefore, it is important to conduct an analysis of the functioning state of the road network. In areas with complex traffic conditions, there is a need for traffic management based on a model of traffic flow distribution using mathematical modeling methods.

References

Anani Shadi B., Cassidy Michael J.(1934) Stationary models of unqueued traffic and number of freeway travel lanes Transportation Research Record, 1934, 256 – 263. https://www.scopus.com/record/display.uri?eid=2-s2.0-33645789532&origin=resultslist&sort=plf-f&src=s&st1=Cassidy&st2=Michael&nlo=1&nlr=20&nls=count-f&sid=09aa5f3fd3cfa4b7bcb8890faa438a02&sot=anl&sdt=aut&sl=39&s=AU-ID%28%22Cassidy%2c+Michael+J.%22+7102044799%29&relpos=47&citeCnt=0&searchTerm.

Dixon, Wilfred J., and Massey, Frank J . Introduction to Statistical Analysis. McGraw-Hill, New York (1957), pp. 226-227.

Powell, J. D., & Logan, S. S. (1985). A mathematical model of traffic flow distribution. Transportation Research Part B: Methodological, 19(5), 403-414.

Stephen G. Eubank (2002) Transportation Networks: Dynamics and Simulation. AIP Conference Proceedings 622, 3 July, 251–264 https://doi.org/10.1063/1.1487541.

Hanyi Yang, Lili Du, Guohui Zhang, Tianwei Ma (2022) “A Traffic Flow Dependency and Dynamics based Deep Learning Aided Approach for Network-Wide Traffic Speed Propagation Prediction,” Transportation Research Part B: Methodological, 167, 99-117. https://doi.org/10.1016/j.trb.2022.11.009.

Khomyak Y.V. (1986) Organization of road traffic: Higher school, Kyiv.

Alekseev O.P., Gurko A.G. (1998) Technical means of traffic control of motor vehicles. Part 2. Kharkiv, Ukraine.

Polischuk V.P., Bakulich O.O., Dziuba O.P., Eresov V.I., Krasylnikova O.V., Lanovyi O.T., Khrystenko O.V. (2014). Organization and regulation of road traffic. Kyiv, Ukraine.

Miroslava Mikusova, Patrik Hrkut, Public Perception of Selected Road Safety Problems. – Žilina, 2014. p. 11.