On Two Interacting Markovian Queueing Systems
Valeriy A. Naumov, Yuliya V. Gaidamaka, Konstantin E. Samouylov
Mathematics · 2019
doi:10.3390/math7090799 (opens in a new tab)
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Abstract
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.
Abstract licence: CC BY
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