Analyzing an M|M|N queueing system with feedback by the method of asymptotic analysis A. A. Nazarov, A. Melikov, E. Pavlova [et al.]
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ArticleContent type: Текст Media type: электронный Subject(s): асимптотический анализ | многосерверные системы | системы массового обслуживания | мгновенная обратная связь | запаздывающая обратная связьGenre/Form: статьи в журналах Online resources: Click here to access online
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Cybernetics and systems analysis Vol. 57, № 1. P. 57-65Abstract: In the paper, we consider a mathematical model for repeated customers in the form of a queuing system with N servers, instant and delayed feedback, and an orbit. It is believed that the orbit size for repeated customers is infinite. The input flow is Poisson. To find the joint probability distribution of the number of occupied servers in the system and the number of customers in the orbit, the asymptotic analysis method is used. The results of a numerical experiment are presented.
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In the paper, we consider a mathematical model for repeated customers in the form of a queuing system with N servers, instant and delayed feedback, and an orbit. It is believed that the orbit size for repeated customers is infinite. The input flow is Poisson. To find the joint probability distribution of the number of occupied servers in the system and the number of customers in the orbit, the asymptotic analysis method is used. The results of a numerical experiment are presented.
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