Method of estimating the time required to ensure the uniform motion of vehicle platoon progres-sion on the coordinated section of the city arterial road

Problem. The problem of distributing competing flows of road users in time is prevalent worldwide, and there is no fully justified and intelligible solution, even if only traffic flows can be considered. At the busiest street intersections, the primary means of traffic management is traffic signal control. If the traffic lights are close to each other, then it is a good practice to coordinate the operation of such traffic lights to organise the most unhampered movement of vehicles in one or several directions; that is the progression. Goal. The goal is estimation of the time required to ensure the uniform motion of vehicle platoon progression on the coordinated artery of the city arterial. Methodology. The developed approach is based on the use of analytical research methods and allows to formalize the interaction of the platoon progression with additional vehicles. Results. The results of the estimation of the minimum time required to ensure the uniform motion of the platoon progression allow us to state that for actual speeds and vehicle accelerations when starting from the stop-line of the intersection, the requirement for the uniform motion of the platoon progression is too strict, especially if we take into account that advance time will increase significantly as the number of additional vehicles in the queue increases. Originality. Analytical models created using formulas of the kinematics of rectilinear uniform accelerated motion of a point make it possible to estimate the minimum advance time of the start of the traffic light signal due to the deliberate speed of traffic and the average acceleration of one additional vehicle when starting from the stop-line of the intersection. Practical value. The developed models reflect the minimum value of the advance time, which ensures uniform motion of the platoon progression, provided that there is one additional vehicle at the stop-line of the intersection.