MODIFICATION OF THE M. J. BECKMAN'S VEHICLE DELAY MODEL FOR INTERCONNECTED INTERSECTIONS IN A MEGALOPOLIS

Abstract

The problem of increasing traffic intensity in megacities is becoming more and more urgent every year, which leads to increased delays at intersections, increased fuel consumption and unjustified wear of vehicle units. One of the possible solutions to this problem is the improvement of traffic control methods. The development of new control systems presupposes the availability of sufficiently accurate mathematical models for describing the traffic flow in order to evaluate control quality, as well as to forecast the properties and parameters of traffic flow. Research objective is to study existing traffic description models, to identify their shortcomings; to improve these models in describing traffic flow not only at individual intersections, but also within a cluster of several intersections. The paper analyzes the model of vehicle delays at the intersection by M.J. Beckmann. It is established that this model is quite accurate in describing isolated intersections with a uniform intensity of traffic flow, but it is unsuitable in cases with intersections that have a traffic flow relationship with interconnected traffic light objects and bursts of traffic intensity during the traffic light control cycle. The reasons for the discrepancy between the experimental data and the data obtained using the M. J. Beckmann delay model are analyzed. A modification of the M. J. Beckmann delay model is proposed, which takes into account the factor of the shift of the resolving phase of regulation between interconnected intersections. The resulting addition of the M. J. Beckmann delay model has significantly improved the accuracy of calculating the delay of vehicles in relation to interconnected intersections