Features of mathematical modeling of road safety on highways

Objective. The purpose of the work is to apply mathematical modeling methods to solve problems of ensuring road safety on highways.Method. Quantitative methods for analyzing road safety problems (BDD) are based on probability theory, mathematical statistics, information theory, multifactor analysis, reliability theory, modeling, programming and other mathematical methods.Result. The main trends in the study of road safety problems are considered. It is indicated that the mathematical dependences of the influence of a limited number of factors are unsuitable for a satisfactory description of the “driver-vehicle-road-environment” (VADS) system as a whole. Paying attention to the uncertainty of objects, properties and connections of the VADS system, the need to use a systematic approach in solving these problems is justified. The need to take into account regional conditions in road safety is discussed. Mathematical models recommended for solving problems of ensuring road safety are presented.Conclusion. Generalization, systematization of the vast empirical material of road accidents accumulated as a result of specific studies taking into account economic, social and demographic conditions and the development of theoretical concepts based on system representations are the most important conditions for solving the problems of ensuring road safety.