On two interacting Markovian queueing systems

In this paper, we study a Markovian queuing system consisting of two subsystems of an arbitrary structure. Each subsystem generates a multi-class Markovian arrival process of customers arriving to the other subsystem. We derive the necessary and sufficient conditions for the stationary distribution to be of product form and consider some particular cases of the subsystem interaction for which these conditions can be easily verified. © 2019 by the authors.

Authors
Journal
Publisher
MDPI AG
Number of issue
9
Language
English
Status
Published
Number
799
Volume
7
Year
2019
Organizations
  • 1 Service Innovation Research Institute, 8 A Annankatu, Helsinki, 00120, Finland
  • 2 Department of Applied Informatics and Probability, Peoples' Friendship University of Russia (RUDN University), Miklukho-Maklaya St. 6, Moscow, 117198, Russian Federation
  • 3 Institute of Informatics Problems, Federal Research Center 'Computer Science and Control' of the Russian Academy of Sciences, Vavilov St. 44-2, Moscow, 119333, Russian Federation
Keywords
Markovian arrival process; Multi-class arrival processes; Product form
Date of creation
24.12.2019
Date of change
16.02.2021
Short link
https://repository.rudn.ru/en/records/article/record/55076/
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