Gaussian and Diffusion Limits for Multi-Channel Stochastic Networks
- Authors: Livinska H.1, Lebedev E.1
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Affiliations:
- National Taras Shevchenko University of Kyiv
- Issue: Vol 218, No 3 (2016)
- Pages: 328-334
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238227
- DOI: https://doi.org/10.1007/s10958-016-3033-5
- ID: 238227
Cite item
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