On the Application of Queuing Theory in the Analysis of Transients in the Operation of a Freight Railway Station
Авторы: Zharkov M., Kazakov A., Lempert A.
Журнал: Communications in Computer and Information Science
Отчётный год: 2022
Аннотация: The paper continues our research carried out earlier, in which we applied the queuing theory for modeling the operation of railway stations. The mathematical model is constructed as a multiphase queuing system with Batch Markovian Arrival Process. Its stationary characteristics are determined numerically. It is known that there exist cases when stationary characteristics are not enough for a profound study of the operation of those technical systems. Therefore, it is required to consider the properties of the transient processes that occur in railway stations. In the paper, we apply the proposed approach to construct the model of the operation of the typical freight railway station. We compose and study the Kolmogorov ordinary differential equations system that describes the dependence of the probabilities of system states on time. Its solution allows us to determine the transients’ behavior and convergence rate to the stationary mode.
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