淮阴师范学院学报(自然科学版)
淮陰師範學院學報(自然科學版)
회음사범학원학보(자연과학판)
JOURNAL OF HUAIYIN TEACHERS COLLEGE (NATURAL SCIENCE EDITION)
2014年
2期
100-105,112
,共7页
可修复系统%预解正算子%共轭算子%增长界%共尾%谱上界
可脩複繫統%預解正算子%共軛算子%增長界%共尾%譜上界
가수복계통%예해정산자%공액산자%증장계%공미%보상계
repairable system%resolvent positive operator%adjoint operator%growth bound%cofinal%upper spectral bound
针对一类具有运行部件和储备部件,故障修复时间服从一般分布的人-机系统模型.运用C0半群的理论,证明了系统算子是稠定的预解正算子,得出了系统算子的共轭算子及其定义域,并证明了系统算子的增长界为0,最后运用预解正算子中共尾的概念及其相关理论,证明了系统算子的谱上界也是0.
針對一類具有運行部件和儲備部件,故障脩複時間服從一般分佈的人-機繫統模型.運用C0半群的理論,證明瞭繫統算子是稠定的預解正算子,得齣瞭繫統算子的共軛算子及其定義域,併證明瞭繫統算子的增長界為0,最後運用預解正算子中共尾的概唸及其相關理論,證明瞭繫統算子的譜上界也是0.
침대일류구유운행부건화저비부건,고장수복시간복종일반분포적인-궤계통모형.운용C0반군적이론,증명료계통산자시주정적예해정산자,득출료계통산자적공액산자급기정의역,병증명료계통산자적증장계위0,최후운용예해정산자중공미적개념급기상관이론,증명료계통산자적보상계야시0.
This paper presents a model representing a two units active and one unit on standby human -ma-chine system with general failed system repair time distribution .Using C0-semigroup theory , we first prove the system operator is a densely defined resolvent positive operator .Then, we obtain the adjoint operator of the system operator and its domain .Furthermore, we prove that 0 is the growth bound of the system operator .Fi-nally, we show that0is also the upper spectral bound of the system operator using the concept of cofinal and relative theory .