Two-sided truncations for a class of continuous-time markov chains

We consider nonstationary Markovian queueing models with batch arrivals and group services. We study the mathematical expectation of the respective queue-length process and obtain the bounds on the rate of convergence and error of truncation of the process. © Springer International Publishing AG 2017.

Авторы
Satin Y. 1 , Zeifman A. 1, 2, 3 , Korotysheva A. 1 , Kiseleva K. 1, 4
Журнал
Communications in Computer and Information Science
Издательство
Springer Verlag
Язык
Английский
Страницы
312-323
Статус
Опубликовано
DOI
10.1007/978-3-319-68069-9_25
Том
800
Год
2017
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 RUDN University, Moscow, Russian Federation
Ключевые слова
Batch arrivals; Bounds; Group services; Limiting characteristic; Nonstationary Markovian queueing model; Queue-length process; Truncation
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