Mathematical Model of Transport Behaviour Based on Transport Macrosystems Theory

Abstract

Continuing the study, the purpose of which was to develop a new approach to determining the transport behaviour of residents of urban agglomerations, to outline the main ways of its development, a new description of transport behaviour is proposed based on various scientific disciplines and the theory of macrosystems.This, according to the authors, will make contribution to laying the foundation for creation of a currently missing theory of transport behaviour.A developed mathematical model of transport behaviour based on the provisions of academician Yu. S. Popkov’s theory of macrosystems, uses the entropy approach to determine the equilibrium state of the transport system. At the same time, the model identifies an initial list of parameters responsible for describing the «transport behaviour». The latter is considered as a collective phenomenon that creates a deterministic representation resulting from interaction of many stochastically acting elements (road users). A compiled preliminary scheme can be used to solve the problem of finding unknowns in the system of equations and inequalities within the model.