Optimal replacement policy for a deteriorating series repairable system with multi-state

CHENG Guo-qing, LI Ling, TANG Ying-hui

Systems Engineering - Theory & Practice ›› 2012 ›› Issue (5) : 1118-1123.

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Systems Engineering - Theory & Practice ›› 2012 ›› Issue (5) : 1118-1123. DOI: 10.12011/1000-6788(2012)5-1118

Optimal replacement policy for a deteriorating series repairable system with multi-state

  • CHENG Guo-qing1, LI Ling1, TANG Ying-hui2
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Abstract

A maintenance model for a deteriorating series system with multi-state is proposed. Assume that every component in the system has more than one failure states. The occurrence of a failure state of any one type is mutually exclusive and stochastic. The failed components can not be repaired as good as new. Under these assumptions, an explicit expression of average cost rate of such system is given by using generalized geometric process and the replacement policy based on the failure numbers of the components. The optimal replacement policy is derived analytically. Finally, a numerical example is given to validate the replacement policy.

Key words

geometric process / multi-state system / series system / replacement policy / degenerative

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CHENG Guo-qing , LI Ling , TANG Ying-hui. Optimal replacement policy for a deteriorating series repairable system with multi-state. Systems Engineering - Theory & Practice, 2012(5): 1118-1123 https://doi.org/10.12011/1000-6788(2012)5-1118

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