摘要
应用 C0 -半群理论研究 M/M/1排队系统中四个指标 :系统中顾客的平均等待时间 ,顾客的平均逗留时间 ,顾客总数和等待服务的顾客总数的渐近性质 ,得到这四个指标的渐近稳定性结果 .
By using C 0-semigroup theory of linear operators the four indices of M/M/1 queueing system: the average waiting time of the customers, the average staying time of the customers, the average number of the customers and the average number of customers who wait for service, have been studied. The asymptotic stability of these indices has been obtained.
出处
《数学的实践与认识》
CSCD
北大核心
2003年第1期45-48,共4页
Mathematics in Practice and Theory
关键词
M/M/1排队系统
算子半群
特征值
序
增算子
渐近性
M/M/1 queue
C 0-semigroup
eigenvalue
order
increasing operator
asymptotic behavior