Application of statistical modelling method for determination of optimal solutions of road transport problems

The article is devoted to the use of statistical modelling to solve problems related to the functioning of road transport and mass service systems, such as car service stations. The method consists in reproducing the process under study using a probabilistic mathematical model and subsequent statistical processing of data to obtain numerical characteristics of the process. The purpose of the study is to apply the method of statistical modelling to determine optimal solutions to problems such as calculating the probability of system states, the average number of occupied channels, queuing time and other characteristics of the service station. A station with two service channels and two waiting places is considered as an object of research. The methods of probability theory, including the law of large numbers and Bernoulli's theorem, have been used to solve the set tasks. The modelling results show that in the process of station operation the probability of failure and other characteristics, such as average waiting time, can be accurately calculated using a statistical approach. The main research method is random variable modelling using uniformly distributed random numbers and their logarithmic transformations to simulate application arrival times and service times. The conclusions of the study confirm the high efficiency of the method of statistical modelling for the analysis and optimization of transport systems and mass service systems, as well as its possible application for other tasks, such as determining the capacity of transport interchanges, reliability of technical systems and other logistic processes.