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

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	744-758
Number of pages	15
Journal	Journal of Systems Science and Complexity
Volume	25
Issue number	4
DOIs	https://doi.org/10.1007/s11424-012-9253-y
Publication status	Published - Aug 2012

Keywords

C -semigroup theory
dynamic solution
exponential stability
profit analysis
reliability indices
steady-state solution

Access to Document

10.1007/s11424-012-9253-y

Cite this

@article{79f4455b53274bb4916ae6cc742235fc,

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.",

keywords = "C -semigroup theory, dynamic solution, exponential stability, profit analysis, reliability indices, steady-state solution",

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

year = "2012",

month = aug,

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

language = "English",

volume = "25",

pages = "744--758",

journal = "Journal of Systems Science and Complexity",

issn = "1009-6124",

publisher = "Springer New York",

number = "4",

}

TY - JOUR

T1 - Further research of a new kind of series repairable system

AU - Guo, Lina

AU - Xu, Houbao

AU - Gao, Chao

AU - Zhu, Guangtian

PY - 2012/8

Y1 - 2012/8

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

UR - http://www.scopus.com/inward/record.url?scp=84865556129&partnerID=8YFLogxK

U2 - 10.1007/s11424-012-9253-y

DO - 10.1007/s11424-012-9253-y

M3 - Article

AN - SCOPUS:84865556129

SN - 1009-6124

VL - 25

SP - 744

EP - 758

JO - Journal of Systems Science and Complexity

JF - Journal of Systems Science and Complexity

IS - 4

ER -

Further research of a new kind of series repairable system

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this