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

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

doi:10.1088/3050-2454/ae3124

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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

Papers | 更新时间：2026-02-13

- 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
- Considering adjustable production rate in economic optimization for statistical process control and preventive maintenance
- 可靠性科学与工程学报（英文） 2025年第4期页码：1-16
- 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
  中图分类号：
- 收稿：2025-11-04，
  
  修回：2025-12-05，
  
  录用：2025-12-25，
  
  网络首发：2026-01-14，
  
  纸质出版：2025
- 稿件说明：
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Yaping Li, Zhaoxiang Chen, Zhen Chen, 等. 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[J]. 可靠性科学与工程学报（英文）, 2025,(4):1-16.

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.
Yaping Li, Zhaoxiang Chen, Zhen Chen, 等. 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[J]. 可靠性科学与工程学报（英文）, 2025,(4):1-16. DOI： 10.1088/3050-2454/ae3124.

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.

关键词

Keywords

references

Cassady C R , Bowden R O , Liew L and Pohl E A 2000 Combining preventive maintenance and statistical process control: a preliminary investigation IIE Trans. 32 471 – 8

Cheng G Q , Zhou B H and Li L 2018 Integrated production, quality control and condition-based maintenance for imperfect production systems Reliab. Eng. Syst. Saf. 175 251 – 64

Deng J , Sun J , Peng W , Hu Y and Zhang D 2019 Application of neural networks for predicting hot rolled strip crown Appl. Soft Comput. 78 119 – 31

Farahani A and Tohidi H 2021 Integrated optimization of quality and maintenance: a literature review Comput. Ind. Eng. 151 106924

Francie K A , Jean-Pierre K , Pierre D , Victor S and Vladimir P 2014 Stochastic optimal control of manufacturing systems under production-dependent failure rates Int. J. Prod. Econ. 150 174 – 87

Hadidi I A , Al-Turki U M and Rahim A 2012 Integrated models in production planning and scheduling, maintenance and quality: a review Int. J. Syst. Eng. 10 21 – 50

Hu J , Sun Q and Ye Z S 2022 Replacement and repair optimization for production systems under random production waits IEEE Trans. Reliab. 71 1488 – 500

Jafari L and Makis V 2015 Joint optimal lot sizing and preventive maintenance pol- icy for a production facility subject to condition monitoring Int. J. Prod. Econ. 169 156 – 68

Lam K K and Rahim M A 2002 A sensitivity analysis of an integrated model for joint determination of economic design of https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=100500438&type= https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=100500423&type= https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=100500463&type= -control charts, economic production quantity and production run length for a deteriorating production system Qual. Reliab. Eng. Int. 18 305 – 20

Li Y , Chen Z , Xia T , Pan E and Liu S 2025 Integrated optimization for X-bar control chart, preventive maintenance and production rate Reliab. Eng. Syst. Saf. 253 110498

Li Y and Shu L 2020 Joint optimization of statistical process control and maintenance policy under random maintenance time: a GERT network method Proc. of 30th European Safety and Reliability Conf. and the 15th Probabilistic Safety Assessment and Management Conf. (Venice, Italy)

Li Y , Xia T , Chen Z and Pan E 2023 Multiple degradation-driven preventive maintenance policy for serial-parallel multi-station manufacturing systems Reliab. Eng. Syst. Saf. 230 108905

Li Y , Zio E and Pan E 2021 An MEWMA-based segmental multivariate hidden Markov model for degradation assessment and prediction Proc. Inst. Mech. Eng. O 235 831 – 44

Lin J , Liao G , Chen M and Yin H 2021 Two-phase degradation modeling and remaining useful life prediction using nonlinear wiener process Comput. Ind. Eng. 160 107533

Liu X J , Wang W B and Peng R 2017 An integrated preventive maintenance and production planning model with sequence-dependent setup costs and times Qual. Reliab. Eng. Int. 33 2451 – 61

Lopes R 2018 Integrated model of quality inspection, preventive maintenance and buffer stock in an imperfect production system Comput. Ind. Eng. 126 650 – 6

Mendonça P A , Francisco R D P and Rabelo D D S 2022 OEE approach applied to additive manufacturing systems in distributed manufacturing networks Comput. Ind. Eng. 171 108359

Nenes G , Tasias K A and Celano G 2014 A general model for the economic-statistical design of adaptive control charts for processes subject to multiple assignable causes Int. J. Prod. Res. 53 2146 – 64

Panagiotidou S and Tagaras G 2007 Optimal preventive maintenance for equipment with two quality states and general failure time distributions Eur. J. Oper. Res. 180 329 – 53

Panagiotidou S and Tagaras G 2010 Statistical process control and condition-based maintenance: a meaningful relationship through data sharing Prod. Oper. Manag. 19 156 – 71

Pandey D , Kulkarni M and Vrat P 2010 Joint consideration of production scheduling, maintenance and quality policies: a review and conceptual framework Int. J. Adv. Oper. Manag. 2 1 – 24

Pasha M A , Bameni Moghadam M and Rahim M A 2020 Effects of non-normal quality data on the integrated model of imperfect maintenance, early replacement, and economic design of X-control charts Oper. Res. 20 2519 – 36

Rasay H , Taghipour S and Sharifi M 2022 An integrated maintenance and statistical process control model for a deteriorating production process Reliab. Eng. Syst. Saf. 228 108774

Ross S M 2023 Introduction to Probability Models 13th edn ( Academic Press )

Schiraldi M M and Varisco M 2020 Overall equipment effectiveness: consistency of ISO standard with literature Comput. Ind. Eng. 145 106518

Shi L , Lv X , He Y and He Z 2024 Optimising production, maintenance, and quality control for imperfect manufacturing systems considering timely replenishment Int. J. Prod. Res. 62 3504 – 25

Sun Q , Chen P , Wang X and Ye Z S 2023 Robust condition-based production and maintenance planning for degradation management Prod. Oper. Manag. 32 3951 – 67

Sun Q , Ye Z S , Revie M and Walls L 2019 Reliability modeling of infrastructure load-sharing systems with workload adjustment IEEE Trans. Reliab. 68 1283 – 95

Uithet Broek M A , Teunter R H , De Jonge B and Veldman J 2021 Joint condition-based maintenance and condition-based production optimization Reliab. Eng. Syst. Saf. 214 107743

Uithet Broek M A , Teunter R H , De Jonge B , Veldman J and Van Foreest N D 2020 Condition based production planning: adjusting production rates to balance output and failure risk Manuf. Serv. Oper. Manag. 22 792 – 811

Vlastos S I , Xanthopoulos A S and Koulouriotis D E 2023 Stochastic modelling and analysis of a deteriorating serial production–inventory network Int. J. Prod. Res. 62 3084 – 98

Wang H , Zhang Z , Wang X , Ye Z , Cui X and Cai Z 2025 Joint optimization of maintenance and quality inspection for multi-stage manufacturing system based on genetic reinforcement learning Qual. Reliab. Eng. Int. 41 2879 – 96

Wang S , Liu M and Dong Z 2024a Remaining useful life prediction based on multi-stage wiener process and bayesian information criterion Comput. Ind. Eng. 196 110496

Wang Y , Xia T , Xu Y , Si G , Wang D , Pan E and Xi L 2024b Quality-centered production and maintenance scheduling for multi-machine manufacturing systems under variable operating conditions Reliab. Eng. Syst. Saf. 250 110264

Wee H M and Widyadana G A 2012 Economic production quantity models for deteriorating items with rework and stochastic preventive maintenance time Int. J. Prod. Res. 50 2940 – 52

Zhong J , Ma Y and Tu Y L 2016 Integration of SPC and performance maintenance for supply chain system Int. J. Prod. Res. 54 5932 – 45

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