An extended replacement policy for a deteriorating system with multi-failure modes

作者：Zhang Yuan Lin^*; Wang Guan Jun

来源：Applied Mathematics and Computation, 2011, 218(5): 1820-1830.

DOI：10.1016/j.amc.2011.06.066

• Geometric process
• General monotone process
• Extended replacement policy N
• Renewal reward theorem
• Harmonic mean

In this paper, the maintenance problem for a deteriorating system with k + 1 failure modes, including an unrepairable failure (catastrophic failure) mode and k repairable failure (non-catastrophic failure) modes, is studied. Assume that the system after repair is not "as good as new" and its deterioration is stochastic. Under these assumptions, an extended replacement policy N is considered: the system will be replaced whenever the number of repairable failures reaches N or the unrepairable failure occurs, whichever occurs first. Our purpose is to determine an optimal extended policy N* such that the average cost rate (i.e. the long-run average cost per unit time) of the system is minimized. The explicit expression of the average cost rate is derived, and the corresponding optimal extended policy N* can be determined analytically or numerically. Finally, a numerical example is given to illustrate some theoretical results of the repair model proposed in this paper.

• 出版日期2011-11-1
• 单位东南大学