具有预警功能的四类故障系统的可靠性分析  

Reliability analysis of four type of failures repairable system with warning function

作　　者：乔兴[1] QIAO Xing(Department of Mathematics,Daqing Normal University,Heilongjiang Daqing 163712, China)

机构地区：[1]大庆师范学院数学系,黑龙江大庆163712

出　　处：《齐齐哈尔大学学报（自然科学版）》2018年第1期91-94,共4页Journal of Qiqihar University(Natural Science Edition)

基　　金：大庆师范学院科学研究项目(15ZR06)

摘　　要：在具有四类故障可修复系统基础上增加一个预警状态,提出了包含三个独立相同部件的具有预警功能的可修复系统模型,运用泛函理论及半群理论讨论系统主算子谱的特征分布及主算子的性质,进而证明具有预警功能的四类故障系统的非负解的存在唯一性和稳定性问题。Based on a model representing repairable system with four type failures,we added a warning mode and established a system mathematical model containing three identical units.By function analysis theory and semigroup theory,studying spectral distribution and properties of the system main operator.Thus,we claimed the existence and uniqueness and stability analysis of non-negative solution of the system with four type of failures.

关 键 词：预警功能 非负解 稳定性 

分 类 号：O29[理学—应用数学]