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Optimal inspection and replacement strategy for systems subject to two types of failures with adjustable inspection intervals

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Abstract

The inspection activities are often carried out to detect possible indication of failures in plant systems. This paper considers a single unit system subject to two types of failures, where one failure mode is the traditional 0-1 logic failure and the other failure mode is described by a two-stage failure process. Adjustable inspections are used to detect the defective stage of the latter. We assume that the inspection duration gets shorter and shorter with a constant ratio. At the same time, preventive replacement is used to avoid the possible failure due to the former failure mode. The renewal process of this system is analyzed and the expected long-run cost per unit time (ELRCUT) is derived. The optimal inspection period and the preventive replacement interval to minimize ELRCUT are studied. At last, a numerical example is presented to illustrate the proposed model.

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Authors and Affiliations

  1. Department of Management Science and Engineering, University of Science and Technology Beijing, Beijing, 100083, China

    Xiaoyang Ma  (马晓洋), Wenbin Wang  (王文彬), Xuejuan Liu  (刘学娟) & Rui Peng  (彭 锐)

  2. Faculty of Business and Law, Manchester Metropolitan University, Manchester, M15 6BH, UK

    Wenbin Wang  (王文彬)

Authors
  1. Xiaoyang Ma  (马晓洋)
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  2. Wenbin Wang  (王文彬)
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  3. Xuejuan Liu  (刘学娟)
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  4. Rui Peng  (彭 锐)
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Corresponding author

Correspondence to Xiaoyang Ma  (马晓洋).

Additional information

Foundation item: the National Natural Science Foundation of China (Nos. 71231001, 71301009 and 71420107023), the Ministry of Education Doctor of Philosophy Supervisor Fund of China (No. 20120006110025), and the Fundamental Research Funds for the Central Universities of China (No. FlTR-TP-15-031A3)

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Ma, X., Wang, W., Liu, X. et al. Optimal inspection and replacement strategy for systems subject to two types of failures with adjustable inspection intervals. J. Shanghai Jiaotong Univ. (Sci.) 22, 752–755 (2017). https://doi.org/10.1007/s12204-017-1896-3

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  • DOI: https://doi.org/10.1007/s12204-017-1896-3

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