Abstract
A mathematical model of the “Driver-Vehicle-Road-Environment” system is substantiated in the form of a multidimensional random process with a large number of components based on a structural approach which is a basic algorithm for subsequent modeling of traffic flows on a road network.
Highlights
Modern complex systems, in this case, “Driver- Vehicle-Road-Environment” system (DVRE), are characterized by the presence of a large number of functionally different elements acting according to different physical principles [1,2,3]
Setting the task of analyzing rare events such as failures, one should not limit oneself to a deterministic approach, which in many situations is insensitive to these events, when constructing a mathematical model of a system [4,5,6,7]
The mathematical model of the entire system is obtained in the form of a multidimensional random process with a large number of components [6, 8,9,10]
Summary
In this case, “Driver- Vehicle-Road-Environment” system (DVRE), are characterized by the presence of a large number of functionally different elements acting according to different physical principles [1,2,3]. Setting the task of analyzing rare events such as failures (road congestions, discomfort traffic), one should not limit oneself to a deterministic approach, which in many situations is insensitive to these events, when constructing a mathematical model of a system [4,5,6,7]. The mathematical model of the entire system is obtained in the form of a multidimensional random process with a large number of components [6, 8,9,10]. The most rational way of constructing a mathematical model of the DVRE system is the aggregate (structural) approach [11]
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