Asymptotic Analysis of Queueing Models Based on Synchronization Method
Asymptotic Analysis of Queueing Models Based on Synchronization Method
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DOI：
10.1007/s11009-019-09694-9
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发表时间：
2020-12
影响因子：
0.9
通讯作者：
L. Afanasyeva
中科院分区：
文献类型：
--
作者：
L. Afanasyeva
This paper is focused on the stability conditions for a multiserver queueing system with heterogeneous servers and a regenerative input flowX. The main idea is constructing an auxiliary service processYwhich is also a regenerative flow and definition of the common points of regeneration for both processesXandY. Then the traffic rate is defined in terms of the mean of the increments of these processes on a common regeneration period. It allows to use well-known results from the renewal theory to find the instability and stability conditions. The possibilities of the proposed approach are demonstrated by examples. We also present the applications to transport system capacity analysis.
