The Second Order Asymptotic Analysis Under Heavy Load Condition for Retrial Queueing System MMPP/M/1

Ekaterina Fedorova

doi:10.1007/978-3-319-25861-4_29

The Second Order Asymptotic Analysis Under Heavy Load Condition for Retrial Queueing System MMPP/M/1

Ekaterina Fedorova

https://doi.org/10.1007/978-3-319-25861-4_29

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Publication Date: Jan 1, 2015

Citations: 9

Affiliation: National Research Tomsk State University

#Order Asymptotic Analysis #Retrial Queueing System + Show 8 more

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Abstract

In the paper, the retrial queueing system of MMPP|M|1 type is studied by means of the second order asymptotic analysis method under heavy load condition. During the investigation, the theorem about the form of the asymptotic characteristic function of the number of calls in the orbit is formulated and proved. The asymptotic distribution is compared with the exact one obtained by means of numerical algorithm. The conclusion about method application area is made.

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