Queuing Systems with Semi-Markov Flow in Average and Diffusion Approximation Schemes

V. S. Koroliuk, V. V. Koroliuk and N. Limnios ()
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V. S. Koroliuk: Ukrainian National Academy of Science
V. V. Koroliuk: Ukrainian National Academy of Science
N. Limnios: Université de Technologie de Compiègne

Methodology and Computing in Applied Probability, 2009, vol. 11, issue 2, 201-209

Abstract: 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.

Keywords: Queuing system; Semi-Markov flow; Averaging principle; Diffusion approximation; Random evolution; 60K15; 60K20; 60K25; 58J37 (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/s11009-008-9081-7

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