由常规故障和临界人为错误引起系统故障的可修复系统的算子性质  

Properties of the System Operator of the Repairable System under Common-Cause Failure and Critical Human Error

作　　者：苑爽[1] 王辉[1] 

机构地区：[1]哈尔滨师范大学,黑龙江哈尔滨

出　　处：《理论数学》2015年第5期227-232,共6页Pure Mathematics

基　　金：黑龙江省自然科学基金项目(A201305)。

摘　　要：本文讨论了由常规故障和临界人为错误引起系统故障的可修复系统,通过运用C0半群的理论,证明该系统的预解正算子是稠定的,从而证明了系统算子的增长界为0。最后运用共尾概念和相关理论,证明了该系统算子的谱上界也为0。The objective of this paper is to research a stochastic model representing system under common- cause failure and critical human error. Using C0 semigroup theory, we first prove that the system operator is a densely defined resolvent positive operator. Then, we set the adjoint operator of the system operator and its domain. So, we can prove that 0 is the growth bound of the system operator. At last, by using the concept of cofinal and relative theory we can prove that 0 is also spectral bound of the system operator.

关 键 词：可修复系统 预解正算子 增长界 共尾 谱上界 

分 类 号：O1[理学—数学]