Stability of a general repairable human-machine system

Houbao Xu; Weihua Guo; Lina Guo

doi:10.1109/IEEM.2008.4737921

Stability of a general repairable human-machine system

Houbao Xu^*, Weihua Guo, Lina Guo

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

Availability is an important index of repairable human-machine system. Both dynamic availability and steady availability of the system is investigated in this paper. To study the relationship between dynamic and steady availability, an integral-differential mathematical model is constructed. With this model, the paper shows that dynamic availability and steady availability of the system is existent and unique. Furthermore, by the method of functional analysis, the paper shows that the dynamic availability of the system converge the steady availability as time tends to infinity. That is, such repairable human-machine system is asymptotic stability.

Original language	English
Title of host publication	2008 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2008
Pages	512-515
Number of pages	4
DOIs	https://doi.org/10.1109/IEEM.2008.4737921
Publication status	Published - 2008
Event	2008 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2008 - Singapore, Singapore Duration: 8 Dec 2008 → 11 Dec 2008

Publication series

Name	2008 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2008

Conference

Conference	2008 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2008
Country/Territory	Singapore
City	Singapore
Period	8/12/08 → 11/12/08

Keywords

Human-machine
Stability
System

Access to Document

10.1109/IEEM.2008.4737921

Cite this

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title = "Stability of a general repairable human-machine system",

abstract = "Availability is an important index of repairable human-machine system. Both dynamic availability and steady availability of the system is investigated in this paper. To study the relationship between dynamic and steady availability, an integral-differential mathematical model is constructed. With this model, the paper shows that dynamic availability and steady availability of the system is existent and unique. Furthermore, by the method of functional analysis, the paper shows that the dynamic availability of the system converge the steady availability as time tends to infinity. That is, such repairable human-machine system is asymptotic stability.",

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author = "Houbao Xu and Weihua Guo and Lina Guo",

year = "2008",

doi = "10.1109/IEEM.2008.4737921",

language = "English",

isbn = "9781424426300",

series = "2008 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2008",

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booktitle = "2008 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2008",

note = "2008 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2008 ; Conference date: 08-12-2008 Through 11-12-2008",

}

Xu, H, Guo, W & Guo, L 2008, Stability of a general repairable human-machine system. in 2008 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2008., 4737921, 2008 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2008, pp. 512-515, 2008 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2008, Singapore, Singapore, 8/12/08. https://doi.org/10.1109/IEEM.2008.4737921

Stability of a general repairable human-machine system. / Xu, Houbao; Guo, Weihua; Guo, Lina.
2008 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2008. 2008. p. 512-515 4737921 (2008 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2008).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Guo, Lina

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N2 - Availability is an important index of repairable human-machine system. Both dynamic availability and steady availability of the system is investigated in this paper. To study the relationship between dynamic and steady availability, an integral-differential mathematical model is constructed. With this model, the paper shows that dynamic availability and steady availability of the system is existent and unique. Furthermore, by the method of functional analysis, the paper shows that the dynamic availability of the system converge the steady availability as time tends to infinity. That is, such repairable human-machine system is asymptotic stability.

AB - Availability is an important index of repairable human-machine system. Both dynamic availability and steady availability of the system is investigated in this paper. To study the relationship between dynamic and steady availability, an integral-differential mathematical model is constructed. With this model, the paper shows that dynamic availability and steady availability of the system is existent and unique. Furthermore, by the method of functional analysis, the paper shows that the dynamic availability of the system converge the steady availability as time tends to infinity. That is, such repairable human-machine system is asymptotic stability.

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KW - Stability

KW - System

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Y2 - 8 December 2008 through 11 December 2008

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Stability of a general repairable human-machine system

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Keywords

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