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.

Авторы
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
Журнал
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Язык
Английский
Страницы
20-28
Статус
Опубликовано
DOI
10.1007/978-3-319-74727-9_3
Том
10672 LNCS
Год
2018
Организации
  • 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
Ключевые слова
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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