This article is devoted to the study of the use of mathematical hardware in the efficient organization of the system of servicing motor vehicles. Herewith, simulation modeling methods enable obtaining information about the state of the system analyzed with the application of its programmed model. This information is then used in the design of system management. In addition, proposals have been developed to improve the car maintenance process within the framework of generating random values corresponding to the distribution of probabilities by type of service over the period of entry into the car maintenance system.