A geometrical process repair model for a repairable system with delayed repair

作者：Zhang Yuan Lin^*

来源：Computers & Mathematics with Applications, 2008, 55(8): 1629-1643.

DOI：10.1016/j.camwa.2007.06.020

• renewal process
• geometrical process
• supplementary variable
• two-dimensional Markov process
• delayed repair
• renewal reward theorem

In this paper, a repairable system consisting of one component and a single repairman (i.e. a simple repairable system) with delayed repair is Studied. Assume that the working time distribution, the repair time distribution and the delayed repair time distribution of the system are all exponential. After repair, the system is not "as good as new". Under these assumptions, by using the geometrical process and the Supplementary variable technique, we derive some important reliability indices Such as the system availability, rate of occurrence of failures (ROCOF), reliability and mean time to first failure (MTTFF). A repair replacement policy N Under which the system is replaced when the number Of failures of the system reaches N is also studied. The explicit expression for the average cost rate (i.e. the long-run average cost per unit time) of the system is derived, and the corresponding optimal replacement policy N* can be found analytically or numerically. Finally, a numerical example for policy N is given.

• 出版日期2008-4
• 单位东南大学