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Joint Economic Design of CUSUM Control Chart and Age-Based Imperfect Preventive Maintenance Policy

Author

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  • Yaping Li
  • Zhen Chen
  • Ershun Pan

Abstract

The close relationship between statistical process control and maintenance has attracted lots of researchers to focus on the jointly economic design of control chart (a main tool of statistical process control) and preventive maintenance policy, and much progress has been made in this field. However, in the existing literatures, the chart is used most, and other charts are rarely considered. In this paper, the economic design of CUSUM chart and age-based imperfect preventive maintenance policy is presented. The process is considered as a multiphase system, and a recursive algorithm is used to model each phase. Besides, a sampling policy under the non-Markovian deterioration assumption is employed, and an age-based imperfect preventive maintenance policy is used. An optimization model with the objective of minimizing the expected cost per unit time is constructed to obtain the near-optimal solution of decision variables: the age of the machine for maintenance, the number of age-based maintenances, sample size, sampling intervals, and the decision interval coefficient and reference value coefficient of CUSUM chart. The solution procedure of the model is provided. Also, sensitivity analysis is performed on the decision variables for each of the various parameters.

Suggested Citation

  • Yaping Li & Zhen Chen & Ershun Pan, 2018. "Joint Economic Design of CUSUM Control Chart and Age-Based Imperfect Preventive Maintenance Policy," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-11, June.
    • Handle: RePEc:hin:jnlmpe:9246372
    DOI: 10.1155/2018/9246372
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    Cited by:

    1. Chen, Yuan & Qiu, Qingan & Zhao, Xian, 2022. "Condition-based opportunistic maintenance policies with two-phase inspections for continuous-state systems," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
    2. Thiago Lima de Barros & Rodrigo Sampaio Lopes, 2021. "Continuous improvement of imperfect maintenance actions in PAS and PAR models," Journal of Risk and Reliability, , vol. 235(5), pages 941-958, October.

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