Gaussian and Diffusion Limits for Multi-Channel Stochastic Networks


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Abstract

In the paper the multichannel stochastic networks are considered. A non-homogeneous Poisson input flow of calls arrives at each node. An approximate method of investigation of the service process in heavy traffic is developed. For the multichannel Markovian networks the limit process is represented as a multidimensional diffusion.

About the authors

H. Livinska

National Taras Shevchenko University of Kyiv

Author for correspondence.
Email: livinskaav@gmail.com
Ukraine, Kyiv

E. Lebedev

National Taras Shevchenko University of Kyiv

Email: livinskaav@gmail.com
Ukraine, Kyiv


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