【摘要】 研究了修理工单重休假的Gnedenko系统.运用C₀半群理论,通过服务率均值的观念,对系统主算子的谱上界进行了估值,并得到该谱上界即为服务率均值的相反数.然后运用了共尾的概念及相关的理论,得到了系统主算子的谱上界与系统主算子产生的半群的增长界相等,从而得到其增长界也是服务率均值的相反数.更多还原

【Abstract】 We investigate the Gendenko System with Simple Vacations of a Repairman.Using Co-semigroup theory and the concept of the mean of service rate functions,we estimate the upper spectral bound of the main operator and obtain that its value is the opposite number of the mean of service rate functions.Then we show the growth bound of the main operator share the same value with its upper spectral bound by using the concept of cofinal and relative theory.更多还原