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Optimal replacement policy for a repairable system with deterioration based on a renewal-geometric process.

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Title: Optimal replacement policy for a repairable system with deterioration based on a renewal-geometric process.
Authors: Niu, Caiyun1 14789941497@126.com, Liang, Xiaolin2, Ge, Bingfeng1 bingfengge@nudt.edu.cn, Tian, Xue2, Chen, Yingwu1
Source: Annals of Operations Research. Sep2016, Vol. 244 Issue 1, p49-66. 18p.
Subjects: Computer operating systems, Computer operating system maintenance & repair, Probability theory, Cost control, Geometric programming
Abstract: The optimal replacement policy is proposed for a new maintenance model of a repairable deteriorating system to minimize the average cost rate throughout the system life cycle. It is assumed that the system undergoes deterioration with an increasing trend of deterioration probability after each repair. More specifically, a novel maintenance model is first presented based on a new defined renewal-geometric process, which splits the operation process into an early renewal process and a late geometric process to characterize such a special deterioration delay. Then, the average cost rate for the new model is formulated according to the renewal-reward theorem. Next, a theorem is presented to derive the theoretical relationships of optimal replacement policies for the geometric-process maintenance model and the new proposed model, respectively. Finally, numerical examples suggest that the optimum values can be determined to minimize the average cost rates. [ABSTRACT FROM AUTHOR]
Copyright of Annals of Operations Research is the property of Springer Nature 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: The optimal replacement policy is proposed for a new maintenance model of a repairable deteriorating system to minimize the average cost rate throughout the system life cycle. It is assumed that the system undergoes deterioration with an increasing trend of deterioration probability after each repair. More specifically, a novel maintenance model is first presented based on a new defined renewal-geometric process, which splits the operation process into an early renewal process and a late geometric process to characterize such a special deterioration delay. Then, the average cost rate for the new model is formulated according to the renewal-reward theorem. Next, a theorem is presented to derive the theoretical relationships of optimal replacement policies for the geometric-process maintenance model and the new proposed model, respectively. Finally, numerical examples suggest that the optimum values can be determined to minimize the average cost rates. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Annals of Operations Research is the property of Springer Nature 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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