具有热储备可修复平行系统稳定性及可靠性分析  

Stability and Reliability Analysis of a Parallel Reparable System with Warm Standby

作　　者：王丹[1] 张玉峰[1] 张军[1] 

机构地区：[1]延边大学理学院数学系,吉林延吉133002

出　　处：《数学的实践与认识》2007年第20期87-93,共7页Mathematics in Practice and Theory

摘　　要：通过对具有热储备可修复平行系统模型的研究,证明了系统解的稳定性,limt→∞p→(.,t)=p→,同时完成了对系统解的可靠性的证明,瞬态可靠性大于等于其牢固可靠性,既p0(t)≥p0*=limt→∞p0(t).This paper presents asymptotic stability and reliability of a parallel reparable system with warm standby, First, we prove the nonnegative time-dependent solution converges to its static solution, that is lim p（· ,t） = P. Second we finish the proof of reliability of the system ＂ instantaneous reliability is not less than the stable reliability＂, that is po（t）≥p（; =limp0（t）.

关 键 词：稳定性 可靠性 C0-半群 

分 类 号：N945.17[自然科学总论—系统科学]