Further research of a new kind of series repairable system

Lina Guo; Houbao Xu; Chao Gao; Guangtian Zhu

doi:10.1007/s11424-012-9253-y

Further research of a new kind of series repairable system

Lina Guo^*, Houbao Xu, Chao Gao, Guangtian Zhu

^*此作品的通讯作者

数学学院

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2 引用（Scopus）

摘要

This paper is devoted to studying the uniqueness and existence of the system dynamic solution by using C ₀-semigroup theory and discussing its exponential stability by analyzing the spectral distribution of system operator and its quasi-compactness. Some primary reliability indices are discussed with the eigenfunction of system operator and the optimal vacation time to get the maximum system profit is analyzed at the end of paper.

源语言	英语
页（从-至）	744-758
页数	15
期刊	Journal of Systems Science and Complexity
卷	25
期	4
DOI	https://doi.org/10.1007/s11424-012-9253-y
出版状态	已出版 - 8月 2012

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Guo, L., Xu, H., Gao, C., & Zhu, G. (2012). Further research of a new kind of series repairable system. Journal of Systems Science and Complexity, 25(4), 744-758. https://doi.org/10.1007/s11424-012-9253-y

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title = "Further research of a new kind of series repairable system",

abstract = "This paper is devoted to studying the uniqueness and existence of the system dynamic solution by using C 0-semigroup theory and discussing its exponential stability by analyzing the spectral distribution of system operator and its quasi-compactness. Some primary reliability indices are discussed with the eigenfunction of system operator and the optimal vacation time to get the maximum system profit is analyzed at the end of paper.",

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author = "Lina Guo and Houbao Xu and Chao Gao and Guangtian Zhu",

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doi = "10.1007/s11424-012-9253-y",

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AU - Xu, Houbao

AU - Gao, Chao

AU - Zhu, Guangtian

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N2 - This paper is devoted to studying the uniqueness and existence of the system dynamic solution by using C 0-semigroup theory and discussing its exponential stability by analyzing the spectral distribution of system operator and its quasi-compactness. Some primary reliability indices are discussed with the eigenfunction of system operator and the optimal vacation time to get the maximum system profit is analyzed at the end of paper.

AB - This paper is devoted to studying the uniqueness and existence of the system dynamic solution by using C 0-semigroup theory and discussing its exponential stability by analyzing the spectral distribution of system operator and its quasi-compactness. Some primary reliability indices are discussed with the eigenfunction of system operator and the optimal vacation time to get the maximum system profit is analyzed at the end of paper.

KW - C -semigroup theory

KW - dynamic solution

KW - exponential stability

KW - profit analysis

KW - reliability indices

KW - steady-state solution

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JO - Journal of Systems Science and Complexity

JF - Journal of Systems Science and Complexity

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ER -

Further research of a new kind of series repairable system

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