Upper bounds on the rate of convergence for constant retrial rate queueing model with two servers

Yacov Satin, Evsey Morozov, Ruslana Nekrasova, Alexander Zeifman (), Ksenia Kiseleva, Anna Sinitcina, Alexander Sipin, Galina Shilova and Irina Gudkova
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Yacov Satin: Vologda State University
Evsey Morozov: IAMR, KarRC RAS and Petrozavodsk State University
Ruslana Nekrasova: IAMR, KarRC RAS and Petrozavodsk State University
Alexander Zeifman: Vologda State University
Ksenia Kiseleva: Vologda State University
Anna Sinitcina: Vologda State University
Alexander Sipin: Vologda State University
Galina Shilova: Vologda State University
Irina Gudkova: Peoples’ Friendship University of Russia (RUDN University), IPI FRC CSC RAS

Statistical Papers, 2018, vol. 59, issue 4, No 1, 1282 pages

Abstract: 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; 60; K; 25 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s00362-018-1014-0

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