Queuing Systems with Semi-Markov Flow in Average and Diffusion Approximation Schemes |
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| Authors: | V S Koroliuk V V Koroliuk N Limnios |
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| Institution: | (1) Ukrainian National Academy of Science, Kiev, Ukraine;(2) Université de Technologie de Compiègne, Compiègne, France |
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| Abstract: | We study asymptotic average and diffusion approximation schemes for semi-Markov queuing systems by a random evolution approach
and using compensating operator of the corresponding extended Markov renewal process. These results generalize Markov and
renewal flow queuing systems.
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| Keywords: | Queuing system Semi-Markov flow Averaging principle Diffusion approximation Random evolution |
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