在一个供应链系统可靠性模型研究中出现的投影算子表达式及其应用  

The Expression of the Projection Operator Appearing During Research of the Reliability Model for the Supply Chain and Its Application

作　　者：阿力木·米吉提[1] 奥古丽江·艾尼 Alim MIJIT;Oghuljan AINI(Xinjiang Radio and TV University,Urumqi Xinjiang 830049,China;No.2 Middle School of Urumqi,Urumqi Xinjiang 830000,China)

机构地区：[1]新疆广播电视大学,新疆乌鲁木齐830049 [2]乌鲁木齐市第二中学,新疆乌鲁木齐830000

出　　处：《江西师范大学学报（自然科学版）》2021年第2期217-220,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家开放大学科研课题(G18E4302Y)资助项目.

摘　　要：该文考虑一个供应链系统可靠性模型.首先指出此供应链系统的主算子所生成的正压缩C0-半群T(t)是拟紧算子,其次通过正压缩C0-半群T(t)的本质谱增长界性质和留数定理推出该模型研究中出现的投影算子的具体表达式,最后得到该供应链系统模型的时间依赖解指数收敛到其稳态解.A supply chain system reliability model has been studied in this paper.Firstly,it is showed that the positive contraction C0-semigroup T(t)generated by the underlying operator is a quasi-compact operator.Secondly,the expression of the project operator has been obtained by using the property of the essential growth bound of C0-semigroup T(t)and the residue theorem.Finally,it is concluded that the time-dependent solution of the model converges exponentially to its steady-state solution.

关 键 词：供应链系统 C0-半群 拟紧算子 本质谱增长界 

分 类 号：O177.7[理学—数学]