Periodic discrete-time one-channel GI/G/1 retrial queuing system with FCFS service discipline

Authors:
I. N. Kovalenko;E. V. Koba;O. N. Dyshliuk
Affiliations:
V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine;V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine;National Aviation University, Kyiv, Ukraine
Venue:
Cybernetics and Systems Analysis
Year:
2013

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Abstract

A discrete-time one-channel queuing system with general inter-arrival, service, and orbit times periodically dependent on the number of arrival is considered. The service discipline is assumed to be FCFS. The sufficient condition for the ergodicity of an embedded Markov chain is derived.