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An integrated model of statistical process control and condition-based maintenance for deteriorating systems

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Journal of the Operational Research Society

Abstract

This paper proposes an integrated model of statistical process control and condition-based maintenance for a deteriorating system. We study a system that will not be as good as new after a preventive maintenance and can only survive a certain number of preventive maintenances. The system is modeled as a geometric process and monitored by an \(\bar{X}\) control chart. By analyzing the evolution of the system in different scenarios, we establish a mathematical model to minimize the expected cost during the expected cycle time that can be used to make an optimal replacement policy in applications. A computational scheme is presented and illustrated through a numerical example. A sensitivity analysis is performed to investigate the effect of statistical constraint, mean shift, and the parameters of the system.

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Acknowledgements

The authors are grateful for the associate editor and three anonymous referees who provided constructive comments and suggestions in the review of this paper. They have greatly helped in improving the quality and presentation of the paper.

This work is supported by the National Natural Science Foundation of China (NSFC) under the (Grant Number 71402072) and (Grant Number 71372181), Program of Natural Science Research of Jiangsu Higher Education Institutions of China under the (Grant Number 14KJB410002), Project of Philosophy and Social Science Research in Colleges and Universities in Jiangsu Province under the (Grant Number 2014SJB012), as well as Project of Nanjing University of Posts and Telecommunications under the (Grant Number NYS213005; NY214113).

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Authors and Affiliations

  1. Business School, Nanjing Normal University, Nanjing, China

    Liping Liu

  2. School of Management Nanjing University of Posts and Telecommunications, Nanjing, China

    Lining Jiang

  3. School of Business, State University of New York, Oswego, NY, 3126, USA

    Ding Zhang

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  1. Liping Liu
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  2. Lining Jiang
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  3. Ding Zhang
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Correspondence to Liping Liu.

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Liu, L., Jiang, L. & Zhang, D. An integrated model of statistical process control and condition-based maintenance for deteriorating systems. J Oper Res Soc 68, 1452–1460 (2017). https://doi.org/10.1057/s41274-016-0175-2

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  • DOI: https://doi.org/10.1057/s41274-016-0175-2

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