An optimal repair-replacement policy for a cold standby system with use priority

作者：Zhang Yuan Lin^*; Wang Guan Jun

来源：Applied Mathematical Modelling, 2011, 35(3): 1222-1230.

DOI：10.1016/j.apm.2010.08.009

• Geometric process
• Renewal process
• Priority
• Replacement policy
• Renewal reward theorem
• Convolution

In this paper, the maintenance problem for a cold standby system consisting of two dissimilar components and one repairman is studied. Assume that both component 1 and component 2 after repair follow geometric process repair and component 1 is given priority in use when both components are workable. Under these assumptions, using geometric process repair model, we consider a replacement policy N under which the system is replaced when the number of failures of component 1 reaches N. Our purpose is to determine an optimal replacement 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 for the average cost rate of the system is derived and the corresponding optimal replacement policy N* can be determined analytically or numerically. Finally, a numerical example is given to illustrate some theoretical results and the model applicability.

• 出版日期2011-3
• 单位东南大学