COMPUTATIONAL MODELLING OF TRAFFIC FLOWS ON CONTROLLED ROADS

A model of transient single-lane traffic flows is proposed, taking into account the basic components used to control road traffic (traffic lights and "sleeping policemen"), which is radically different from those traditionally considered in continuum mechanics. The model takes into account the main property of traffic flows, namely, the property of self - organisation, and enables the conditions required to ensure maximum carring capacity to be describned correctly both qualitatively and quantitatively, as wel l as the occurrence and evolution of "travelling traffic jams" on road, as well as the effect of road traffic control units. Unlike the first mathematical models, which describe traffic flows 1-6 , and the corresponding research, generalized in the monograph 7 , a model of fraffic flows was proposed in 8, 9 which contains not only a continuity equation but also a differential equation of the motion, and takes into account the limits on speed acceleration of the traffic flow, the technical charactristics of the vehicles and the response of a driver to a change in the road conditions. According to this model, the problem of traffic flow has no direct hydrodynamic analogy. Below, developing this model, we take into account additional road conditions, namely, the different forward visibility distances for a driver, and the presence on the road of traffic lights and "sleeping policemen".