Email this article On a class of Markovian queuing systems described by inhomogeneous birth-and-death processes with additional transitions
- Authors: Zeifman A.I.1,2,3, Satin Y.A.1,2, Korotysheva A.V.1,2, Korolev V.Y.2,4, Bening V.E.2,4
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Affiliations:
- Vologda State University
- 1Institute of Informatics Problems of Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
- Institute of Socio-Economic Development of Territories
- Faculty of Computational Mathematics and Cybernetics
- Issue: Vol 94, No 2 (2016)
- Pages: 502-505
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224212
- DOI: https://doi.org/10.1134/S1064562416040177
- ID: 224212
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Abstract
A class of inhomogeneous Markovian queuing systems with possible catastrophic failures and group arrival of customers in the case of empty queue is considered; basic estimates of the rate of convergence and stability for this class are obtained.
About the authors
A. I. Zeifman
Vologda State University; 1Institute of Informatics Problems of Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences; Institute of Socio-Economic Development of Territories
Author for correspondence.
Email: a_zeifman@mail.ru
Russian Federation, ul. Lenina 15, Vologda, 160000; Vavilova str. 44/2, Moscow, 119333; ul. Gor’kogo 56-a, Vologda, 160014
Ya. A. Satin
Vologda State University; 1Institute of Informatics Problems of Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
Email: a_zeifman@mail.ru
Russian Federation, ul. Lenina 15, Vologda, 160000; Vavilova str. 44/2, Moscow, 119333
A. V. Korotysheva
Vologda State University; 1Institute of Informatics Problems of Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
Email: a_zeifman@mail.ru
Russian Federation, ul. Lenina 15, Vologda, 160000; Vavilova str. 44/2, Moscow, 119333
V. Yu. Korolev
1Institute of Informatics Problems of Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences; Faculty of Computational Mathematics and Cybernetics
Email: a_zeifman@mail.ru
Russian Federation, Vavilova str. 44/2, Moscow, 119333; Moscow, 119991
V. E. Bening
1Institute of Informatics Problems of Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences; Faculty of Computational Mathematics and Cybernetics
Email: a_zeifman@mail.ru
Russian Federation, Vavilova str. 44/2, Moscow, 119333; Moscow, 119991
