https://doi.org/10.25198/2077-7175-2021-1-76
DETERMINATION OF THE CONDITIONS FOR THE APPLICATION OF THE F. WEBSTER FORMULA FOR DETERMINING THE TRANSPORT DELAY AT A CIRCULAR INTERSECTION WITH TRAFFIC LIGHT REGULATION AND A CUT-THROUGH CENTRAL ISLAND
Yu. Ya. Komarov1, S. V. Ganzin2, D. D. Silchenkov3
Volgograd State Technical University, Volgograd, Russia
1e-mail: atrans@vstu.ru
2e-mail: ganzin_fat@mail.ru
3e-mail: xdimanx.vstu@mail.ru
Abstract. The main method of determining transport delay in the national methodical and educational literature is its calculation according to the methodology (formula) of F. Webster (1958), which is based on the theory of mass service. However, in conditions of high traffic congestion or traffic congestion, experimental and calculated data at simple intersections vary considerably. The definition of delays for complex intersections, in particular for the Hamburger Through-About Intersection (further HTAI) is also contradictory. The aim of the study is to improve determine the area of application of F. Webster’s formula for a little-studied roundabouts HTAI.
For the first time, the paper addresses the selection of parameters of the HTAI in urban settings, and also introduces a method of calculating transport delays depending on various factors. For the purpose of the study, the hypothesis is put forward that the application of the Webster formula depends on the intensity of traffic on the main and secondary roads, the degree of loading in directions and transport demand for left-turning traffic. According to the hypothesis, on the basis of the collected data, transport delays are calculated on the HTAI from the selected factors.
To justify the adequacy of calculations, the method of simulation in the Aimsun (micro-modeling) software complex is used. On the basis of in-kind surveys of section of the road network, a high-reliability simulation model was created, reflecting the current situation at regulated intersection, and also assessed the feasibility of using the HTAI on a section of the road network.
There are dependencies of transport delays on traffic in the main and secondary road, effective duration of the cycle of regulation on the main road, traffic on roundabout, the diameter of the islet for the HTAI. Thus, based on the resulting mathematical model, the range of application of the Webster formula is defined, which is affected by the number of lanes for the main and secondary roads, the degree of loading in directions and the number of lanes on the ring.
Further research involves the development of a methodology for calculating the parameters of the HTAI.
Keywords: road transport, the Hamburger Through-About Intersection, formula of Webster.
Cite as: Komarov, Yu. Ya., Ganzin, S. V., Silchenkov, D. D. (2021) [Determination of the conditions for the application of the F. Webster formula for determining the transport delay at a circular intersection with traffic light regulation and a cut-through central island]. Intellekt. Innovatsii. Investitsii [Intellect. Innovations. Investments]. Vol. 1, рр. 76–86. DOI: 10.25198/2077-7175-2021-1-76.
