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arXiv 2109.05752cs.ITmath.IT
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异构服务器集群系统的信息时代

On the Age of Information of a Queuing System with Heterogeneous Servers

Anhad Bhati, Sibi Raj B. Pillai, Rahul Vaze

摘要:

考虑了异构服务器的最优控制问题,以最小化信息的平均年龄。每个服务器维护一个单独的队列,到达系统的每个数据包都被随机路由到其中一个服务器。假设泊松到达和指数分布的服务时间,我们首先推导出两个异构服务器的平均AoI的精确表达式。接下来,为了求解最优平均AoI,导出了一个近似值,称为近似AoI,这对于多服务器系统也是有用的。我们发现,对于最佳近似AoI,每个服务器的服务器利用率(到达率和服务率之比)应该与单个服务器队列的最佳服务器利用率相同。对于两个相同的服务器,它表明,平均AoI约为5/8倍的平均AoI的一个服务器。此外,平均AoI被证明是减少相当大的增加更多的服务器到系统。

英文摘要:

An optimal control problem with heterogeneous servers to minimize the average age of information (AoI) is considered. Each server maintains a separate queue, and each packet arriving to the system is randomly routed to one of the servers. Assuming Poisson arrivals and exponentially distributed service times, we first derive an exact expression of the average AoI for two heterogeneous servers. Next, to solve for the optimal average AoI, a close approximation is derived, called the approximate AoI, this is shown to be useful for multi-server systems as well. We show that for the optimal approximate AoI, server utilization (ratio of arrival rate and service rate) for each server should be same as the optimal server utilization with a single server queue. For two identical servers, it is shown that the average AoI is approximately 5/8 times the average AoI of a single server. Furthermore, the average AoI is shown to decrease considerably with the addition of more servers to the system.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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