具有两类请求的云计算中心服务器数量的优化

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Title:

Optimization of the number of servers in a cloud computation center with two demand classes

作者:

张江强, 赵宁, 刘文奇

昆明理工大学 理学院, 云南 昆明 650500

Author(s):

ZHANG Jiangqiang, ZHAO Ning, LIU Wenqi

Faculty of Science, Kunming University of Science and Technology, Kunming 650500, China

关键词:

云计算; 排队系统; 两类请求; 性能指标; 能耗; 成本; 服务器数量的优化

Keywords:

cloud computing; queuing system; two demand classes; performance measure; power consumption; cost; optimization of the number of servers

分类号:

TP393.02

DOI:

10.11992/tis.201703042

摘要:

为提高云计算中心的服务质量，节约系统成本，针对具有两类用户请求的云计算中心，提出云计算中心的服务器数量的优化方案。首先，建立了具有两类用户请求的排队模型，分析系统的稳态概率分布、平均队长等性能指标；然后，建立了云计算中心的能耗模型；最后，联合系统的等待成本和能耗成本，构建系统的成本函数，对系统的服务器数量进行优化，从而使系统的成本最小。数值分析结果表明最优服务器数量是用户请求到达率的非减函数，为了使系统成本最小，云计算中心需要动态调整服务器的数量。

Abstract:

In order to improve the service quality and to save the system cost of the cloud computing center, for a cloud computing center with two demand classes, a method to optimize the number of servers was proposed. First, a queuing model having two demand classes was established for analyzing performance measures such as distribution of the probability of stability and mean queue length; next, a power consumption model was established on the cloud computing center; finally, the wait and power-consumption cost of the system were used together to construct the cost function of the system and optimize the server quantity for realizing the lowest cost. The numerical results show that the optimal number of servers is a non-decreasing function of the arrival rate of demands. To minimize the system cost, dynamically adjusting the number of servers is necessary.