This article is cited in 1 paper

Short Communications

Multiserver queueing system with constant service time and simultaneous service of a customer by random number of servers

S. A. Grishunina

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: This paper is focused on stability conditions of a multiserver queueing system with regenerative input flow where a random number of servers is simultaneously required for each customer, and each server completion time is constant. It turns out that the stability condition depends on the rate of the input flow rather than on its structure.

Keywords: stability condition, queueing systems, regenerative input flow, synchronization.

Received: 04.04.2019
Accepted: 22.04.2019

DOI: 10.4213/tvp5310

 English version: Theory of Probability and its Applications, 2019, 64:3, 456–460

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