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In this article the problems of efficiency of functioning of production systems of the locomotive repair enterprise are solved. In particular, the object of research is the technological processes of repair and maintenance of electric locomotives at the enterprises for repair of traction rolling stock. The article presents a mathematical description of the production process of such enterprises, on the example of the service locomotive depot «Moskovka». The mathematical model is described on the basis of queueing theory (QS) and Markov chains. A graph of the technological state of the locomotive during repair in the depot, where the process of transition of the repaired rolling stock from the state to the state, i.e. the relationship of technological movements of the electric locomotive on the territory of the depot, as well as the time of technological operations described transition matrix. The distribution of repair requests is described by the Poisson law, the delay of the electric locomotive in the depot areas in the planned types of repair in accordance with the accepted norm, and in the unplanned form of repair, the applications are delayed in accordance with the distribution of erlang. Based on the results of the mathematical description of the model of the production process of the repair enterprise, a simulation model of the operation of the Moskovka depot was created, implemented on a computer with the help of professional software of a new generation - AnyLogic. The paper describes the logic diagram of the simulation model, selected methods and modeling libraries. According to the results of the study, the overall assessment of technological performance indicators of the locomotive repair enterprise, in the conditions of probabilistic, dynamic changes in the repair task. By means of the methods of research of technological processes of depot «Moskovka» realized in article, it is possible to design any repair enterprises on repair of a rolling stock of the railroads, for the purpose of identification of «bottlenecks» of production process.

In this paper we presented an option accounting compliance joints through mathematical modeling of prefabricated single-walled cylindrical geometric op-totropnyh shells on the basis of the contact boundary value problem of structural type.