Stability analysis of a k-out-of-N:G reparable system

Houbao Xu

doi:10.1017/s1446181100003096

Stability analysis of a k-out-of-N:G reparable system

Houbao Xu^*

^*Corresponding author for this work

School of Mathematics and Statistics

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

Abstract

A k-out-of-N:G reparable system with an arbitrarily distributed repair time is studied in this paper. We translate the system into an Abstract Cauchy Problem (ACP). Analysing the spectrum of the system operator helps us to prove the well-posedness and the asymptotic stability of the system.

Original language	English
Pages (from-to)	271-284
Number of pages	14
Journal	ANZIAM Journal
Volume	48
Issue number	2
DOIs	https://doi.org/10.1017/s1446181100003096
Publication status	Published - Oct 2006

Keywords

Asymptotic stability
Availability
Well-posedness
k-out-of-N:G reparable system

Access to Document

10.1017/s1446181100003096

Cite this

@article{6399b9185aa84a0390572c69c96cee99,

title = "Stability analysis of a k-out-of-N:G reparable system",

abstract = "A k-out-of-N:G reparable system with an arbitrarily distributed repair time is studied in this paper. We translate the system into an Abstract Cauchy Problem (ACP). Analysing the spectrum of the system operator helps us to prove the well-posedness and the asymptotic stability of the system.",

keywords = "Asymptotic stability, Availability, Well-posedness, k-out-of-N:G reparable system",

author = "Houbao Xu",

year = "2006",

month = oct,

doi = "10.1017/s1446181100003096",

language = "English",

volume = "48",

pages = "271--284",

journal = "ANZIAM Journal",

issn = "1446-1811",

publisher = "Cambridge University Press",

number = "2",

}

TY - JOUR

T1 - Stability analysis of a k-out-of-N:G reparable system

AU - Xu, Houbao

PY - 2006/10

Y1 - 2006/10

N2 - A k-out-of-N:G reparable system with an arbitrarily distributed repair time is studied in this paper. We translate the system into an Abstract Cauchy Problem (ACP). Analysing the spectrum of the system operator helps us to prove the well-posedness and the asymptotic stability of the system.

AB - A k-out-of-N:G reparable system with an arbitrarily distributed repair time is studied in this paper. We translate the system into an Abstract Cauchy Problem (ACP). Analysing the spectrum of the system operator helps us to prove the well-posedness and the asymptotic stability of the system.

KW - Asymptotic stability

KW - Availability

KW - Well-posedness

KW - k-out-of-N:G reparable system

UR - http://www.scopus.com/inward/record.url?scp=33847160779&partnerID=8YFLogxK

U2 - 10.1017/s1446181100003096

DO - 10.1017/s1446181100003096

M3 - Article

AN - SCOPUS:33847160779

SN - 1446-1811

VL - 48

SP - 271

EP - 284

JO - ANZIAM Journal

JF - ANZIAM Journal

IS - 2

ER -

Stability analysis of a k-out-of-N:G reparable system

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this