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

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

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
Subtitle of host publication	Performance Engineering and Maintenance Engineering
Editors	Hao Zhang, Guojin Feng, Hongjun Wang, Fengshou Gu, Jyoti K. Sinha
Publisher	Springer, Cham
Pages	907-920
Number of pages	14
Volume	117
ISBN (Electronic)	9783030990756
ISBN (Print)	9783030990749
DOIs	https://doi.org/10.1007/978-3-030-99075-6_73
Publication status	Published - 18 Sep 2022
Event	6th International Conference on Maintenance Engineering, IncoME-VI and the Conference of the Efficiency and Performance Engineering Network, TEPEN 2021 - Hebei University of Technology, Tianjin, China Duration: 20 Oct 2021 → 23 Oct 2021 Conference number: 6 https://tepen.net/conference/tepen2021/

Publication series

Name	Mechanisms and Machine Science
Publisher	Springer
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
Abbreviated title	TEPEN-2021 and IncoME-VI
Country/Territory	China
City	Tianjin
Period	20/10/21 → 23/10/21
Internet address	https://tepen.net/conference/tepen2021/

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1007/978-3-030-99075-6_73Licence: Unspecified

Cite this

Wang, H., Luo, M., & Gu, F. (2022). 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 (Vol. 117, pp. 907-920). (Mechanisms and Machine Science; Vol. 117). Springer, Cham. 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. Vol. 117 Springer, Cham, 2022. 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, TEPEN-2021 and IncoME-VI ; Conference date: 20-10-2021 Through 23-10-2021",

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

language = "English",

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Wang, H, Luo, M & Gu, F 2022, 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. vol. 117, Mechanisms and Machine Science, vol. 117, Springer, Cham, 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. Vol. 117 Springer, Cham, 2022. p. 907-920 (Mechanisms and Machine Science; Vol. 117).

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

TY - GEN

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

AU - Wang, Hanyang

AU - Luo, Ming

AU - Gu, Fengshou

N1 - Conference code: 6

PY - 2022/9/18

Y1 - 2022/9/18

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

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AN - SCOPUS:85138835799

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T3 - Mechanisms and Machine Science

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BT - Proceedings of IncoME-VI and TEPEN 2021

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A2 - Sinha, Jyoti K.

PB - Springer, Cham

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 -

Wang H, Luo M, Gu F. A New Two-Dimensional Condition-Based Maintenance Model by Using Copulas. In Zhang H, Feng G, Wang H, Gu F, Sinha JK, editors, Proceedings of IncoME-VI and TEPEN 2021 : Performance Engineering and Maintenance Engineering. Vol. 117. Springer, Cham. 2022. p. 907-920. (Mechanisms and Machine Science). Epub 2022 Sep 18. doi: 10.1007/978-3-030-99075-6_73

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

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