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Two different general monotone process models for a deteriorating system and its optimisation

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  • G.Q. Cheng
  • L. Li

Abstract

We present a deteriorating system with k failure states and one working state. Assume that the system after repair cannot be as good as new, and the deterioration is stochastic. Under these assumptions, we use a generalised α-series process and geometric process to model system successive working times and consecutive repair times, respectively. Under the replacement policy N, we obtain the expression of the average cost rate (ACR), and derive the optimal replacement policy analytically or numerically. Finally, we provide a numerical example to illustrate our model, and carry through some discussions and sensitivity analysis of the model.

Suggested Citation

  • G.Q. Cheng & L. Li, 2011. "Two different general monotone process models for a deteriorating system and its optimisation," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(1), pages 57-62.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:57-62
    DOI: 10.1080/00207720903428914
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    Cited by:

    1. Guan Jun Wang & Yuan Lin Zhang, 2016. "Optimal replacement policy for a two-dissimilar-component cold standby system with different repair actions," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(5), pages 1021-1031, April.

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