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Performance evaluation of seven optimization models of age replacement policy

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  • Jiang, R.

Abstract

Several optimization models of the classic age replacement policy have been developed based on different optimality criteria in the literature. This raises the issue how to choose an appropriate model among these models for a specific application. This paper addresses this issue by carrying out a comparative study for the performances of these models and a new risk-sensitive cost model. The performance of the solution of an optimization model is evaluated from two aspects: cost (or availability) and reliability. Two benchmarking points that correspond to these two aspects are defined; and three performance measures that correspond to cost, reliability and overall performance, respectively, are developed for evaluating the performances of the models. Through quantitatively comparing the performances of the models’ solutions associated with the Weibull, gamma and lognormal distributions, the models with outstanding performances are identified. The applicable situations of the outstanding models are also discussed. The results are useful for both maintenance researchers and practitioners.

Suggested Citation

  • Jiang, R., 2018. "Performance evaluation of seven optimization models of age replacement policy," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 302-311.
  • Handle: RePEc:eee:reensy:v:180:y:2018:i:c:p:302-311
    DOI: 10.1016/j.ress.2018.07.030
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    References listed on IDEAS

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    1. J. Ansell & A. Bendell & S. Humble, 1984. "Age Replacement Under Alternative Cost Criteria," Management Science, INFORMS, vol. 30(3), pages 358-367, March.
    2. Coolen-Schrijner, P. & Coolen, F.P.A., 2007. "Nonparametric adaptive age replacement with a one-cycle criterion," Reliability Engineering and System Safety, Elsevier, vol. 92(1), pages 74-84.
    3. Jiang, R., 2010. "Optimization of alarm threshold and sequential inspection scheme," Reliability Engineering and System Safety, Elsevier, vol. 95(3), pages 208-215.
    4. Zhao, Xufeng & Al-Khalifa, Khalifa N. & Magid Hamouda, Abdel & Nakagawa, Toshio, 2017. "Age replacement models: A summary with new perspectives and methods," Reliability Engineering and System Safety, Elsevier, vol. 161(C), pages 95-105.
    5. Jiang, R., 2009. "An accurate approximate solution of optimal sequential age replacement policy for a finite-time horizon," Reliability Engineering and System Safety, Elsevier, vol. 94(8), pages 1245-1250.
    6. Hamidi, Maryam & Szidarovszky, Ferenc & Szidarovszky, Miklos, 2016. "New one cycle criteria for optimizing preventive replacement policies," Reliability Engineering and System Safety, Elsevier, vol. 154(C), pages 42-48.
    7. Jiang, R., 2013. "A tradeoff BX life and its applications," Reliability Engineering and System Safety, Elsevier, vol. 113(C), pages 1-6.
    8. B C Giri & T Dohi, 2010. "Quantifying the risk in age and block replacement policies," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(7), pages 1151-1158, July.
    9. C. Derman & J. Sacks, 1960. "Replacement of periodically inspected equipment. (An optimal optional stopping rule)," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 7(4), pages 597-607, December.
    10. Rommert Dekker & Matthijs C. Dijkstra, 1992. "Opportunity‐based age replacement: Exponentially distributed times between opportunities," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(2), pages 175-190, March.
    11. Richard Barlow & Larry Hunter, 1960. "Optimum Preventive Maintenance Policies," Operations Research, INFORMS, vol. 8(1), pages 90-100, February.
    12. Jiang, R., 2013. "A multivariate CBM model with a random and time-dependent failure threshold," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 178-185.
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    1. R. Jiang, 2022. "Two approximations of renewal function for any arbitrary lifetime distribution," Annals of Operations Research, Springer, vol. 311(1), pages 151-165, April.
    2. Jiang, R., 2020. "A novel two-fold sectional approximation of renewal function and its applications," Reliability Engineering and System Safety, Elsevier, vol. 193(C).

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