Stat Papers https://doi.org/10.1007/s00362-018-1014-0 REGULAR ARTICLE Upper bounds on the rate of convergence for constant retrial rate queueing model with two servers 1 2 2 Yacov Satin · Evsey Morozov · Ruslana Nekrasova · 1,3 1 1 Alexander Zeifman · Ksenia Kiseleva · Anna Sinitcina · 1 1 4 Alexander Sipin · Galina Shilova · Irina Gudkova Received: 1 January 2018 / Revised: 29 May 2018 © Springer-Verlag GmbH Germany, part of Springer Nature 2018 Abstract The paper deals with a Markovian retrial queueing system with a constant retrial rate and two servers. We present the detailed description of the model as well as establish the sufﬁcient conditions for null ergodicity and strong ergodicity of the corresponding process and obtain the upper bounds on the rate of convergence for both situations. Keywords Retrial queueing system · Constant retrial rate · Two-server model · Rate of convergence Mathematics Subject Classiﬁcation 60 K 25 1 Introduction In this paper, we consider a M/M/2/2-type retrial queueing system with a constant retrial rate denoted as Σ. The exogenous (primary) customers arrive to the system according to a Poisson process with rate λ. The system has two stochastically identical The research of EM and RN
Statistical Papers – Springer Journals
Published: Jun 5, 2018
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