DYNAMIC OF TRAFFIC FLOW
The traffic flow theory studies the phenomena associated with the functioning of traffic flows in a particular way, compared to other sciences. This theory relies on the study of the traffic rules in a variety of road conditions, with different levels of traffic control and in different composition of traffic flows. The existing traffic flow theory is not fully adequate, since it does not consider the continuous saturated traffic flow and does not encompass all possible traffic flow situations and cars in the traffic flow in various urban settings. The duality of cars is thus not taken into account.
To increase the road throughput, creating of operational control systems to regulate saturated traffic flows on existing roads requires more in-depth knowledge of traffic flow conditions and their special features.
To address various applied problems arising in calculating the throughput of city roads, while taking into account various traffic management methods and ensuring safety requirements, it is, first and foremost, necessary to make equations of traffic flow motions, which describe traffic dynamics on various geometric highway segments.
Traffic flow dynamics represents a continuous change in the state of the road-traffic system at the beginning of acceleration, along the drive and at the end of the haul (compression of the flow during engine braking). State equations are therefore systematized in the form of changes in the speed and number of vehicles in traffic under the influence of traffic power.
The revealed traffic flow potential and traffic management with generalized state equations make it possible, already at the stage of designing roads and city highways, to ensure a high level of road safety for modern saturated traffic flows.
The initial state of the traffic flow on the road is determined by the distribution of intensity and speed along its length at the time, , i.e. the functions и . Yet, the traffic flow state at the current time is rather determined by the system of functions, and not by the system of numbers i.e. and .
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