Dynamic Analysis of the Multi-state Reliability System with Priority Repair Discipline  

作　　者：Aihemaitijiang YUMAIER Ehmet KASIM 

机构地区：[1]College of Mathematics and Systems Science,Xinjiang University,Urumqi 830046,China

出　　处：《Acta Mathematicae Applicatae Sinica》2024年第3期665-694,共30页应用数学学报（英文版）

基　　金：supported by the Natural Science Foundation of Xinjiang Uygur Autonomous Region(No.2022D01C46);National Natural Science Foundation of China(No.11801485)。

摘　　要：This paper considers a multi-state repairable system that is composed of two classes of components,one of which has a priority for repair.First,we investigate the well-posedenss of the system by applying the operator semigroup theory.Then,using Greiner’s idea and the spectral properties of the corresponding operator,we obtain that the time-dependent solution of the system converges strongly to its steady-state solution.

关 键 词：multi-state system C0-SEMIGROUP Dirichlet operator WELL-POSEDNESS asymptotic behavior 

分 类 号：O213.2[理学—概率论与数理统计]