摘要
研究了两同型部件冷贮备可修系统.运用C_0半群理论,通过修复率均值的观念,对系统主算子的谱上界进行了估值,并得到该谱上界即为系统部件修复率均值的相反数.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修复率均值的相反数.
We investigate the repairable system which is an 1-unit system supported by an identical cold standby. Using C0-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 the service rate function. 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.
出处
《数学的实践与认识》
CSCD
北大核心
2014年第21期237-244,共8页
Mathematics in Practice and Theory
关键词
可修系统
C_0半群理论
系统主算子
谱上界
共尾
增长界
repairable system
non-repairable upper spectral bound
cofinal
growth bound system
C0-semigroup theory
main operator
