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Queueing models can be used for making decisions about the resources required to provide high quality service. In this paper, a finite capacity single server queueing model with bulk arrivals is studied in IoT-based edge computing systems. The transient analysis of the model is carried out and the transient analytical solution to the system is derived with a group of recursive coefficients by using the ordinary differential equations (ODEs) technique. From which the steady-state probabilities are solved. Then, some performance metrics of interest are derived along with numerical results. Although the paper is initiated from the IoT based edge computing platform, the proposed system modeling and analysis method can be extended to more general situations such as telecommunication, manufacturing, transportation, and many other areas that are closely related to people’s daily lives.

The question of determination of stationary probabilities of the states of the queuing system with an unreliable device, vacation and prophylaxis describing functioning of both basic and auxiliary material stream of the logistic system is considered in the article.В статье рассмотрен вопрос определения стационарных вероятностей состояний системы массового обслуживания с ненадежным прибором, переналадкой и профилактикой, описывающей функционирование как основного, так и вспомогательного материального потока логистической системы.