Finite M/M/1 retrial model with changeable service rate

M.S. Bratiichuk; A.A. Chechelnitsky; I.Ya. Usar

doi:10.30970/ms.56.1.96-102

M.S. Bratiichuk Silesian University of Technology Gliwice, Poland
A.A. Chechelnitsky Taras Shevchenko National University Kyiv, Ukraine
I.Ya. Usar Taras Shevchenko National University Kyiv, Ukraine

DOI: https://doi.org/10.30970/ms.56.1.96-102

Keywords: retrial queueing system; ergodic distribution; service rate

Abstract

The article deals with M/M/1 -type retrial queueing system with finite orbit. It is supposed
that service rate depends on the loading of the system. The explicit formulae for ergodic
distribution of the number of customers in the system are obtained. The theoretical results are
illustrated by numerical examples.

Author Biographies

M.S. Bratiichuk, Silesian University of Technology Gliwice, Poland

Silesian University of Technology
Gliwice, Poland

A.A. Chechelnitsky, Taras Shevchenko National University Kyiv, Ukraine

Taras Shevchenko National University
Kyiv, Ukraine

I.Ya. Usar, Taras Shevchenko National University Kyiv, Ukraine

Taras Shevchenko National University
Kyiv, Ukraine

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