A New Two-Dimensional Condition-Based Maintenance Model by Using Copulas

Hanyang Wang; Ming Luo; Fengshou Gu

doi:10.1007/978-3-030-99075-6_73

A New Two-Dimensional Condition-Based Maintenance Model by Using Copulas

Hanyang Wang
, Ming Luo^*
, Fengshou Gu

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

Abstract

This paper introduces a new two-dimensional condition-based maintenance model for complex and repairable machining systems like computer numerical control machining tools. A joint distribution of condition and reliability indicators is constructed by using copula. The maintenance threshold is set on the cumulative hazard rate conditioning on intensity of work. A numeric example with assumed settings is provide to demonstrate the relationship between the maintenance threshold and expected cost rate. This is the first model jointly considering condition and reliability indicators in maintenance area; and being benefited by the features of copula, this model can be easily extended to model dependences among multiple indicators in practice.

Original language	English
Title of host publication	Proceedings of IncoME-VI and TEPEN 2021 - Performance Engineering and Maintenance Engineering
Editors	Hao Zhang, Guojin Feng, Hongjun Wang, Fengshou Gu, Jyoti K. Sinha
Publisher	Springer Science and Business Media B.V.
Pages	907-920
Number of pages	14
ISBN (Print)	9783030990749
DOIs	https://doi.org/10.1007/978-3-030-99075-6_73
Publication status	Published - 2023
Event	6th International Conference on Maintenance Engineering, IncoME-VI and the Conference of the Efficiency and Performance Engineering Network, TEPEN 2021 - Tianjin, China Duration: 20 Oct 2021 → 23 Oct 2021

Publication series

Name	Mechanisms and Machine Science
Volume	117
ISSN (Print)	2211-0984
ISSN (Electronic)	2211-0992

Conference

Conference	6th International Conference on Maintenance Engineering, IncoME-VI and the Conference of the Efficiency and Performance Engineering Network, TEPEN 2021
Country/Territory	China
City	Tianjin
Period	20/10/21 → 23/10/21

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Keywords

CNC
Condition-based maintenance
Conditional hazard rate
Copula
Data-driven maintenance
Expected cost rate
Two-dimensional maintenance

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Wang, H., Luo, M., & Gu, F. (2023). A New Two-Dimensional Condition-Based Maintenance Model by Using Copulas. In H. Zhang, G. Feng, H. Wang, F. Gu, & J. K. Sinha (Eds.), Proceedings of IncoME-VI and TEPEN 2021 - Performance Engineering and Maintenance Engineering (pp. 907-920). (Mechanisms and Machine Science; Vol. 117). Springer Science and Business Media B.V.. https://doi.org/10.1007/978-3-030-99075-6_73

Wang, Hanyang ; Luo, Ming ; Gu, Fengshou. / A New Two-Dimensional Condition-Based Maintenance Model by Using Copulas. Proceedings of IncoME-VI and TEPEN 2021 - Performance Engineering and Maintenance Engineering. editor / Hao Zhang ; Guojin Feng ; Hongjun Wang ; Fengshou Gu ; Jyoti K. Sinha. Springer Science and Business Media B.V., 2023. pp. 907-920 (Mechanisms and Machine Science).

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title = "A New Two-Dimensional Condition-Based Maintenance Model by Using Copulas",

abstract = "This paper introduces a new two-dimensional condition-based maintenance model for complex and repairable machining systems like computer numerical control machining tools. A joint distribution of condition and reliability indicators is constructed by using copula. The maintenance threshold is set on the cumulative hazard rate conditioning on intensity of work. A numeric example with assumed settings is provide to demonstrate the relationship between the maintenance threshold and expected cost rate. This is the first model jointly considering condition and reliability indicators in maintenance area; and being benefited by the features of copula, this model can be easily extended to model dependences among multiple indicators in practice.",

keywords = "CNC, Condition-based maintenance, Conditional hazard rate, Copula, Data-driven maintenance, Expected cost rate, Two-dimensional maintenance",

author = "Hanyang Wang and Ming Luo and Fengshou Gu",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.; 6th International Conference on Maintenance Engineering, IncoME-VI and the Conference of the Efficiency and Performance Engineering Network, TEPEN 2021 ; Conference date: 20-10-2021 Through 23-10-2021",

year = "2023",

doi = "10.1007/978-3-030-99075-6\_73",

language = "English",

isbn = "9783030990749",

series = "Mechanisms and Machine Science",

publisher = "Springer Science and Business Media B.V.",

pages = "907--920",

editor = "Hao Zhang and Guojin Feng and Hongjun Wang and Fengshou Gu and Sinha, \{Jyoti K.\}",

booktitle = "Proceedings of IncoME-VI and TEPEN 2021 - Performance Engineering and Maintenance Engineering",

address = "Netherlands",

}

Wang, H, Luo, M & Gu, F 2023, A New Two-Dimensional Condition-Based Maintenance Model by Using Copulas. in H Zhang, G Feng, H Wang, F Gu & JK Sinha (eds), Proceedings of IncoME-VI and TEPEN 2021 - Performance Engineering and Maintenance Engineering. Mechanisms and Machine Science, vol. 117, Springer Science and Business Media B.V., pp. 907-920, 6th International Conference on Maintenance Engineering, IncoME-VI and the Conference of the Efficiency and Performance Engineering Network, TEPEN 2021, Tianjin, China, 20/10/21. https://doi.org/10.1007/978-3-030-99075-6_73

A New Two-Dimensional Condition-Based Maintenance Model by Using Copulas. / Wang, Hanyang; Luo, Ming; Gu, Fengshou.
Proceedings of IncoME-VI and TEPEN 2021 - Performance Engineering and Maintenance Engineering. ed. / Hao Zhang; Guojin Feng; Hongjun Wang; Fengshou Gu; Jyoti K. Sinha. Springer Science and Business Media B.V., 2023. p. 907-920 (Mechanisms and Machine Science; Vol. 117).

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

TY - GEN

T1 - A New Two-Dimensional Condition-Based Maintenance Model by Using Copulas

AU - Wang, Hanyang

AU - Luo, Ming

AU - Gu, Fengshou

PY - 2023

Y1 - 2023

N2 - This paper introduces a new two-dimensional condition-based maintenance model for complex and repairable machining systems like computer numerical control machining tools. A joint distribution of condition and reliability indicators is constructed by using copula. The maintenance threshold is set on the cumulative hazard rate conditioning on intensity of work. A numeric example with assumed settings is provide to demonstrate the relationship between the maintenance threshold and expected cost rate. This is the first model jointly considering condition and reliability indicators in maintenance area; and being benefited by the features of copula, this model can be easily extended to model dependences among multiple indicators in practice.

AB - This paper introduces a new two-dimensional condition-based maintenance model for complex and repairable machining systems like computer numerical control machining tools. A joint distribution of condition and reliability indicators is constructed by using copula. The maintenance threshold is set on the cumulative hazard rate conditioning on intensity of work. A numeric example with assumed settings is provide to demonstrate the relationship between the maintenance threshold and expected cost rate. This is the first model jointly considering condition and reliability indicators in maintenance area; and being benefited by the features of copula, this model can be easily extended to model dependences among multiple indicators in practice.

KW - CNC

KW - Condition-based maintenance

KW - Conditional hazard rate

KW - Copula

KW - Data-driven maintenance

KW - Expected cost rate

KW - Two-dimensional maintenance

UR - https://www.scopus.com/pages/publications/85138835799

U2 - 10.1007/978-3-030-99075-6_73

DO - 10.1007/978-3-030-99075-6_73

M3 - Conference Contribution (Conference Proceeding)

AN - SCOPUS:85138835799

SN - 9783030990749

T3 - Mechanisms and Machine Science

SP - 907

EP - 920

BT - Proceedings of IncoME-VI and TEPEN 2021 - Performance Engineering and Maintenance Engineering

A2 - Zhang, Hao

A2 - Feng, Guojin

A2 - Wang, Hongjun

A2 - Gu, Fengshou

A2 - Sinha, Jyoti K.

PB - Springer Science and Business Media B.V.

T2 - 6th International Conference on Maintenance Engineering, IncoME-VI and the Conference of the Efficiency and Performance Engineering Network, TEPEN 2021

Y2 - 20 October 2021 through 23 October 2021

ER -

A New Two-Dimensional Condition-Based Maintenance Model by Using Copulas

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