服务台数量可变的云服务系统分析  

Analysis on Cloud Service System with Variable Number of Servers

作　　者：赵国喜 金顺福[2] 马聪变 曹建宇 许利军 ZHAO Guo-xi;JIN Shun-fu;MA Cong-bian;CAO Jian-yu;XU Li-jun(Department of Mathematics and Information Science,Xinxiang University,Henan Xinxiang 453003,China;School of Information Science and Engineering,Yanshan University,Hebei Qinhuangdao 066004,China;Department of Electronic Engineering,Tsinghua University,Beijing 100084,China;Network Management Center,Xinxiang University,Henan Xinxiang 453003,China)

机构地区：[1]新乡学院数学与信息科学学院,河南新乡453003 [2]燕山大学信息科学与工程学院,河北秦皇岛066004 [3]清华大学电子工程系,北京100084 [4]新乡学院网络管理中心,河南新乡453003

出　　处：《北京邮电大学学报》2019年第4期114-120,共7页Journal of Beijing University of Posts and Telecommunications

基　　金：河南省高等学校重点科研项目(19A110032);国家自然科学基金项目(11801489,61872311)

摘　　要：针对云服务系统中虚拟机可以迁移的特点,提出了服务台数量可变的M/M/m(t)系统模型.构造基于子任务队长过程和虚拟机数量变化过程的两维马尔可夫链,利用矩阵几何理论得到了该过程的稳态分布以及该系统的稳态性能指标.在考虑服务水平协议的前提下,给出了系统需要开启虚拟机平均数的近似下界,并分析了不同参数对排队指标和处于on状态虚拟机数量的影响.In view of the migration characteristics of virtual machines in cloud service systems,an M/M/m(t)system model with variable number of servers is proposed.A two-dimensional Markovian chain based on the queuing length process of sub-tasks and the number changing process of virtual machines is established.The steady-state distribution of the process and the steady-state performance index of the system are obtained by using matrix geometric theory.Considering the service level agreement,an approximate lower bound of the average number of virtual machines that the system should open is given,and the effects of different parameters on the queuing index and the number of virtual machines in on-state are analyzed.

关 键 词：马尔可夫链 服务台数可变 虚拟机迁移 服务水平协议 

分 类 号：O226[理学—运筹学与控制论]