Resource queueing system MMPP(2,ν)GI2∞ with parallel service of multiple paired customers T. Bushkova, E. Pavlova, S. V. Rozhkova [et al.]
Material type:
ArticleSubject(s): пуассоновские процессы с марковской модуляцией | системы массового обслуживанияGenre/Form: статьи в сборниках Online resources: Click here to access online
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Information Technologies and Mathematical Modelling. Queueing Theory and Applications : 18th International Conference, ITMM 2019, named after A. F. Terpugov, Saratov, Russia, June 26-30, 2019 : revised selected papers P. 136-149Abstract: The article proposes the method for investigating the heterogeneous queuing system of MMPP(2,ν)|GI2|∞ type with resource splitting and parallel service. Each customer is characterized by a random total capacity which is independent of the service time. Based on the asymptotic analysis, it is possible to deduce the expressions for characteristic function of the process of the total amount of resource in two-service unit system. The mathematical models of this type could be of great interest in terms of application in telecommunication, for example, for modeling wireless network, enhancing the existing and designing new ones.
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The article proposes the method for investigating the heterogeneous queuing system of MMPP(2,ν)|GI2|∞ type with resource splitting and parallel service. Each customer is characterized by a random total capacity which is independent of the service time. Based on the asymptotic analysis, it is possible to deduce the expressions for characteristic function of the process of the total amount of resource in two-service unit system. The mathematical models of this type could be of great interest in terms of application in telecommunication, for example, for modeling wireless network, enhancing the existing and designing new ones.
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