A maintenance decision-making method based on stochastic processes and evidential variables considering small sample conditions.

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Title: A maintenance decision-making method based on stochastic processes and evidential variables considering small sample conditions.
Authors: Duan, Xiaochuan1 (AUTHOR), Wang, Shaoping1 (AUTHOR), Shi, Jian1 (AUTHOR), Yang, Zhou2 (AUTHOR), Liu, Di1 (AUTHOR) liudi54834@buaa.edu.cn
Source: International Journal of Production Research. May2026, Vol. 64 Issue 9, p3336-3351. 16p.
Subjects: Stochastic processes, Decision making, Reciprocating pumps, Statistical models, Mathematical variables, Maintenance costs
Abstract: Maintenance is crucial for increasing the reliability of a system during its usage. In this paper, a maintenance decision-making optimisation method, based on stochastic processes and evidential variables, is proposed. This method reduces the high maintenance costs caused by the inability to accurately evaluate the remaining useful life (RUL) of the underlying equipment under small sample sizes when based on random variables. A degradation model is first developed based on stochastic processes supported by evidential variables, the RUL interval of the equipment and its corresponding Basic Probability Assignments (BPAs) are accurately predicted. A maintenance decision-making model is then developed based on evidential variables, where the expected maintenance cost per unit time is considered as the objective function while the ordering and maintenance times of spare parts are considered as decision variables. Finally, the objective function is optimised to determine the optimal ordering and maintenance times. Considering the piston pump as an example, it is demonstrated that the proposed method has high effectiveness in predicting the RUL and making maintenance decisions. It reduces the expected maintenance cost per unit time by 0.1054- 2.5171%. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Production Research is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: A maintenance decision-making method based on stochastic processes and evidential variables considering small sample conditions.
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  Data: <searchLink fieldCode="AR" term="%22Duan%2C+Xiaochuan%22">Duan, Xiaochuan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Shaoping%22">Wang, Shaoping</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Shi%2C+Jian%22">Shi, Jian</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yang%2C+Zhou%22">Yang, Zhou</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Liu%2C+Di%22">Liu, Di</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> liudi54834@buaa.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Production+Research%22">International Journal of Production Research</searchLink>. May2026, Vol. 64 Issue 9, p3336-3351. 16p.
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  Data: <searchLink fieldCode="DE" term="%22Stochastic+processes%22">Stochastic processes</searchLink><br /><searchLink fieldCode="DE" term="%22Decision+making%22">Decision making</searchLink><br /><searchLink fieldCode="DE" term="%22Reciprocating+pumps%22">Reciprocating pumps</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+models%22">Statistical models</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+variables%22">Mathematical variables</searchLink><br /><searchLink fieldCode="DE" term="%22Maintenance+costs%22">Maintenance costs</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: Maintenance is crucial for increasing the reliability of a system during its usage. In this paper, a maintenance decision-making optimisation method, based on stochastic processes and evidential variables, is proposed. This method reduces the high maintenance costs caused by the inability to accurately evaluate the remaining useful life (RUL) of the underlying equipment under small sample sizes when based on random variables. A degradation model is first developed based on stochastic processes supported by evidential variables, the RUL interval of the equipment and its corresponding Basic Probability Assignments (BPAs) are accurately predicted. A maintenance decision-making model is then developed based on evidential variables, where the expected maintenance cost per unit time is considered as the objective function while the ordering and maintenance times of spare parts are considered as decision variables. Finally, the objective function is optimised to determine the optimal ordering and maintenance times. Considering the piston pump as an example, it is demonstrated that the proposed method has high effectiveness in predicting the RUL and making maintenance decisions. It reduces the expected maintenance cost per unit time by 0.1054- 2.5171%. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Production Research is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1080/00207543.2025.2594084
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 16
        StartPage: 3336
    Subjects:
      – SubjectFull: Stochastic processes
        Type: general
      – SubjectFull: Decision making
        Type: general
      – SubjectFull: Reciprocating pumps
        Type: general
      – SubjectFull: Statistical models
        Type: general
      – SubjectFull: Mathematical variables
        Type: general
      – SubjectFull: Maintenance costs
        Type: general
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      – TitleFull: A maintenance decision-making method based on stochastic processes and evidential variables considering small sample conditions.
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            NameFull: Duan, Xiaochuan
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            NameFull: Wang, Shaoping
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            NameFull: Shi, Jian
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            NameFull: Yang, Zhou
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            NameFull: Liu, Di
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            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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