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JOURNALS // Vestnik of Astrakhan State Technical University. Series: Management, Computer Sciences and Informatics // Archive

Vestn. Astrakhan State Technical Univ. Ser. Management, Computer Sciences and Informatics, 2017 Number 3, Pages 20–30 (Mi vagtu489)

MATHEMATICAL MODELING

Mathematical forecasting values of indicators characterizing safety of functioning road transport system

A. F. Rezchikova, V. A. Kushnikova, A. S. Bogomolova, V. A. Ivashchenkoa, L. Y. Filimonyuka, R. A. Alievb

a Institute of Precision Mechanics and Control of the Russian Academy of Sciences
b Yuri Gagarin State Technical University of Saratov

Abstract: This article considers a complex of mathematical models based on the systemdynamic approach that allows to analyze and forecast the main traffic indicators defined in the Russian Government regulatory document. There was developed a graph of cause-and-effect relationships of the road system functioning and, on its basis, a system of nonlinear differential equations of system dynamics. The analysis of the results of the numerical solution of the constructed system showed the adequacy of the proposed set of models and the possibility of using them for predicting the values of safety indicators of the road network for various values of external factors.

Keywords: mathematical modelling, cause-and-effect link, forecasting, safety, road traffic, model of system dynamics.

UDC: 656.081

Received: 12.04.2017



© Steklov Math. Inst. of RAS, 2024