Abstract
One of the modifications of the mathematical models used to describe processes in multi-service communication networks and telecommunication systems is the queueing system with heterogeneous servers. As a rule, for simulation of such processes the system with non-Poisson input flows is used. We consider the queuing system with infinite number of servers of n different types and exponential service time. Incoming flow is a Semi Markovian Process (SM-flow). Investigation of n-dimensional stochastic process characterizing the number of occupied servers of different types is performed using the initial moments method.
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Pankratova, E., Farkhadov, M., Gelenbe, E. (2017). Research of Heterogeneous Queueing System SM|M\(^{(n)}|\infty \) . In: Dudin, A., Nazarov, A., Kirpichnikov, A. (eds) Information Technologies and Mathematical Modelling. Queueing Theory and Applications. ITMM 2017. Communications in Computer and Information Science, vol 800. Springer, Cham. https://doi.org/10.1007/978-3-319-68069-9_10
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DOI: https://doi.org/10.1007/978-3-319-68069-9_10
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