| 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 |
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| 引用本文： | 阿力木·米吉提,奥古丽江·艾尼.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[J].江西师范大学学报(自然科学版),2021,45(2):217-220. |
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| 作者姓名： | 阿力木·米吉提 奥古丽江·艾尼 |
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| 作者单位： | 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 |
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| 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.
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| 关 键 词： | 供应链系统 0-半群 C0-半群 拟紧算子 本质谱增长界 |
The Expression of the Projection Operator Appearing During Research of the Reliability Model for the Supply Chain and Its Application |
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| Alim MIJIT,Oghuljan AINI.The Expression of the Projection Operator Appearing During Research of the Reliability Model for the Supply Chain and Its Application[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2021,45(2):217-220. |
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| Authors: | Alim MIJIT Oghuljan AINI |
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| Institution: | 1.Xinjiang Radio and TV University,Urumqi Xinjiang 830049,China; 2.No.2 Middle School of Urumqi,Urumqi Xinjiang 830000,China |
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| Abstract: | 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. |
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| Keywords: | supply chain system 0-semigroup C0-semigroup quasi-compact operator essential growth bound |
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