%0 Journal Article
%T Well Posedness and Optimal Check Time of a Repairable System<br>可修复系统解的渐近稳定性及最优检测时间
%A XU Houbao
%A <br>徐厚宝
%J 系统科学与数学
%D 2008
%I 
%X The existence of optimal check time of a repairable system with repair time following general distribution is studied. First, the unique existence of the solution of such system is proved. Then, by the positive $C_0$-semigroup generatedby system operator, it is shown that there exists a steady nonnegative solution of the system which is just the normalized eigenvector corresponding toeigenvalue 0 of system operator. At last, based on steady availability of the system, the existence of optimal check time is given.
%K $C_0$-semigroup
%K well posedness
%K optimal check time<br>C0半群
%K 适定性
%K 最优检测时间
%K 可修复系统
%K 解的适定性
%K 系统最优
%K 检测时间
%K REPAIRABLE
%K SYSTEM
%K TIME
%K CHECK
%K 分析
%K 关系表达式
%K 可用度
%K 本征向量
%K 规范化
%K 对应
%K 本征值
%K 算子
%K 存在性
%K 时间依赖解
%K 非负
%K 一般分布
%K 半群理论
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=6C2662B9D310ADDDBD30CC5885A72E6A&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=38B194292C032A66&sid=FDC7AF55F77D8CD4&eid=6826CBE9C80ACB20&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=15