Considering adjustable production rate in economic optimization for statistical process control and preventive maintenance

Yaping Li; Zhaoxiang Chen; Zhen Chen; Di Zhou; Ershun Pan

doi:10.1088/3050-2454/ae3124

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Considering adjustable production rate in economic optimization for statistical process control and preventive maintenance

Papers | 更新时间：2026-02-13

- Considering adjustable production rate in economic optimization for statistical process control and preventive maintenance
- 在统计过程控制和预防性维护的经济优化中考虑可调生产率
- Journal of Reliability Science and Engineering Issue 4, Pages: 1-16(2025)
- 作者机构：
  
  College of Economics and Management, Nanjing Forestry University, Nanjing, People's Republic of China
  School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai, People's Republic of China
  College of Mechanical Engineering, Donghua University, Shanghai, People's Republic of China
- 作者简介：
  
  [ "Yaping Li received her PhD degree in Management Science and Engineering from Nanjing University of Aeronautics and Astronautics in 2015. Then, she worked as a post doctor in Mechanical Engineering at Shanghai Jiao Tong University, and as a visiting scholar in Politecnico di Milano, Italy. She is currently a professor in the College of Economics and Management, Nanjing Forestry University. Her current research includes statistical process control, reliability engineering, maintenance decision-making and production management." ]
  [ "Zhaoxiang Chen received the BS degree in industrial engineering from the University of Electronic Science and Technology of China in 2017, the MS degree in control science and engineering from Beihang University in 2020, and PhD degree in Mechanical Engineering (Industrial Engineering) from Shanghai Jiao Tong University in 2023. He is currently a post-doctor with the Department of Industrial Engineering & Management, Shanghai Jiao Tong University. And, he is currently a Visiting Scholar with the Department of Industrial Systems Engineering and Management, National University of Singapore. His research interests include reliability assessment and maintenance decisions for manufacturing systems." ]
  [ "Zhen Chen received the BS degree in Quality and Reliability Engineering from Beihang University in 2014 and PhD degree in Mechanical Engineering (Industrial Engineering) from Shanghai Jiao Tong University in 2019. He is now an associate professor in the Department of Industrial Engineering & Management, Shanghai Jiao Tong University, China. He worked at the Department of Energy, Politecnico di Milano, Italy, as a post doctor. His research interests include reliability modeling, condition monitoring and fault prognostics, battery health management." ]
  [ "Di Zhou received the BS and PhD degrees in Mechanical Engineering from Northeastern University, Shenyang, China, in 2012 and 2017, respectively. He was a postdoctoral researcher at the School of Mechanical Engineering, Shanghai Jiao Tong University. He is currently an Associate Professor at the College of Mechanical Engineering, Donghua University, Shanghai. His research interests include mechanical reliability analysis, remaining useful life prediction, mechanical dynamics, and prognostics and health management." ]
  [ "Ershun Pan received the BS and MS degrees in Mechanical Design and Manufacturing from Northeastern University, Shenyang, Liaoning, China, in 1997 and the PhD degree in Mechanical Engineering from Shanghai Jiao Tong University, Shanghai, China, in 2000. He is now a professor and the header in the Department of Industrial Engineering & Management, Shanghai Jiao Tong University, China. His current research interests include quality control, reliability engineering and maintenance policy, and lean manufacturing technology." ]
- 基金信息：
- DOI：10.1088/3050-2454/ae3124
  CLC：
- Received：04 November 2025，
  
  Revised：2025-12-05，
  
  Accepted：25 December 2025，
  
  Online First：14 January 2026，
  
  Published：2025
- 稿件说明：
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Yaping Li, Zhaoxiang Chen, Zhen Chen, et al. Considering adjustable production rate in economic optimization for statistical process control and preventive maintenance[J]. Journal of Reliability Science and Engineering, 2025, (4): 1-16.
DOI：

Yaping Li, Zhaoxiang Chen, Zhen Chen, et al. Considering adjustable production rate in economic optimization for statistical process control and preventive maintenance[J]. Journal of Reliability Science and Engineering, 2025, (4): 1-16. DOI： 10.1088/3050-2454/ae3124.

摘要

考虑到生产速率与劣化过程之间的强相关性，本研究将可调的生产速率引入统计过程控制（SPC）和维护策略的经济设计中。旨在从经济角度优化X-bar控制图、预防性维护和生产速率的集成策略。本文界定了三种策略：生产策略、SPC策略和维护策略，并基于描述系统退化的随机过程展开分析。通过建立联合优化模型，以最大化收益率为目标，采用一种独特的递归方法作为一致性工具，系统推导出模型构建所需的关键参数与变量。此外，对整体设备有效性（OEE）进行量化，以评估复杂场景下的生产性能。案例研究验证了所提方法的有效性，结果表明适当的速率调整频率对优化至关重要，并且退化速率对生产决策影响最为显著，而实现最大收益率并不总是对应最高的OEE水平。

Abstract

Considering the strong correlation between production rate and degradation

we introduce an adjustable production rate into the economic design of statistical process control (SPC) and maintenance. Our goal is to optimize the integrated policy for the X-bar control chart

preventive maintenance

and production rate from an economic standpoint. In this study

we define three policies: production policy

SPC policy

and maintenance policy. We base our analysis on a stochastic process that describes system degradation. A joint optimization model maximizing the earnings rate is established

leveraging a unique recursive method as a consistent tool to systematically derive key parameters and variables required for model formulation. Overall equipment effectiveness (OEE) is quantified to evaluate production performance in complex scenarios. A case study validates the effectiveness of the proposed method

presenting that an appropriate production rate adjustment frequency is crucial to the optimization

that the degradation rate exerts the most significant impact on production rate decisions

and that achieving the maximum earnings rate does not always correspond to the highest OEE.

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references

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