Stability criterion of a multiserver model with simultaneous service
Stability criterion of a multiserver model with simultaneous service
复制标题
具有同时服务的多服务器模型的稳定性判据
DOI：
10.1007/s10479-015-1917-2
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发表时间：
2017
影响因子：
4.8
通讯作者：
E. Morozov
中科院分区：
文献类型：
--
作者：
A. Rumyantsev;E. Morozov
在本文中，我们研究了一个多服务器系统，其中每个客户需要一个随机数量的服务器同时和一个随机的，但在所有占用的服务器相同的服务时间。该模型描述了现代高性能集群的动态。这个系统的稳定性准则（在指数假设下）已经证明了两个服务器系统。使用矩阵分析的方法，我们得到这样的系统的稳定性准则下指数的假设和任意数量的服务器。
In this paper, we study a multiserver system in which each customer requires a random number of servers simultaneously and a random but identical service time at all occupied servers. This model describes the dynamics of modern high performance clusters. Stability criteria of this system (under exponential assumptions) have been proved earlier for the two-server system only. Using a matrix-analytic approach, we obtain stability criteria of such a system under exponential assumptions and with an arbitrary number of servers.