On Sharp Bounds on the Rate of Convergence for Finite Continuous-Time Markovian Queueing Models

Finite inhomogeneous continuous-time Markov chains are studied. For a wide class of such processes an approach is proposed for obtaining sharp bounds on the rate of convergence to the limiting characteristics. Queueing examples are considered. © 2018, Springer International Publishing AG.

Authors
Zeifman A. 1, 2, 3 , Sipin A. 1 , Korolev V. 2, 4, 5 , Shilova G. 1 , Kiseleva K. 1, 6 , Korotysheva A. 1 , Satin Y. 1
Journal
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Language
English
Pages
20-28
State
Published
DOI
10.1007/978-3-319-74727-9_3
Volume
10672 LNCS
Year
2018
Organizations
  • 1 Vologda State University, Vologda, Russian Federation
  • 2 Institute of Informatics Problems FRC CSC RAS, Moscow, Russian Federation
  • 3 ISEDT RAS, Vologda, Russian Federation
  • 4 Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russian Federation
  • 5 Hangzhou Dianzi University, Hangzhou, China
  • 6 RUDN University, Moscow, Russian Federation
Keywords
Approximation theory; Markov processes; Queueing theory; System theory; Continuous time Markov chain; Continuous-time; Markovian; Queueing model; Rate of convergence; Sharp bounds; Continuous time systems
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