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The total capacity of customers in the infinite-server queue with MMPP arrivals E. Lisovskaya, S. Moiseeva, M. Pagano

By: Lisovskaya, Ekaterina YuContributor(s): Moiseeva, Svetlana P | Pagano, MicheleMaterial type: ArticleArticleSubject(s): пуассоновский процесс | Гаусса распределение | аппроксимацияGenre/Form: статьи в сборниках Online resources: Click here to access online In: Distributed computer and communication networks : 19th International Conference, DCCN 2016, Moscow, Russia, November 21-25, 2016 : revised selected papers P. 110-120Abstract: In the paper, the infinite-server queueing system with a random capacity of customers is considered. In this system, the total capacity of customers is analysed by means of the asymptotic analysis method with high-rate Markov Modulated Poisson Process arrivals. It is obtained that the stationary probability distribution of the total customer capacity can be approximated by the Gaussian distribution. Parameters of the approximation is also derived in the paper.
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In the paper, the infinite-server queueing system with a random capacity of customers is considered. In this system, the total capacity of customers is analysed by means of the asymptotic analysis method with high-rate Markov Modulated Poisson Process arrivals. It is obtained that the stationary probability distribution of the total customer capacity can be approximated by the Gaussian distribution. Parameters of the approximation is also derived in the paper.

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