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Digital Library of the
European Council for Modelling and Simulation |
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Title: |
Conditions Of Gaussian Non-Markov Approximation For
Multi-Channel Networks |
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Authors: |
Hanna V. Livinska, Eugene O. Lebedev |
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Published in:
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(2015).ECMS 2015 Proceedings edited
by: Valeri M. Mladenov, Grisha Spasov, Petia Georgieva, Galidiya Petrova, European
Council for Modeling and Simulation. doi:10.7148/2015 ISBN:
978-0-9932440-0-1 29th
European Conference on Modelling and Simulation, Albena (Varna), Bulgaria,
May 26th – 29th,
2015 |
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Citation
format: |
Hanna V. Livinska,
Eugene O. Lebedev (2015). Conditions Of Gaussian
Non-Markov Approximation For Multi-Channel Networks, ECMS 2015 Proceedings
edited by: Valeri M. Mladenov,
Petia Georgieva, Grisha Spasov, Galidiya Petrova European
Council for Modeling and Simulation. doi:10.7148/2015-0642 |
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DOI: |
http://dx.doi.org/10.7148/2015-0642 |
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Abstract: |
In this paper the asymptotic analysis
of multi-channel queueing networks is developed.
Service processes in a heavy traffic regime for special models are
considered. Functional limit theorems of diffusion approximation type for
service processes are formulated under convergence in uniform topology. A
limit non-Markov Gaussian process is constructed,
its correlation characteristics are represented in an explicit form via
network parameters. |
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