A deteriorating repairable system with stochastic lead time and replaceable repair facility

作者：Yu, Miaomiao^*; Tang, Yinghui; Fu, Yonghong; Pan, Lemeng; Tang, Xiaowo

来源：Computers & Industrial Engineering, 2012, 62(2): 609-615.

DOI：10.1016/j.cie.2011.11.023

• Geometric process
• Supplementary variable technique
• Stochastic lead time
• Replaceable repair facility
• Maintenance policy

In this paper, a deteriorating repairable system with stochastic lead time and replaceable repair facility is studied. We assume that the spare system for replacement is available only by an order and the lead time for delivering the spare follows exponential distribution. Moreover, we also suppose that the repair facility may be subject to failure during the repair period. Under these assumptions, by using the geometric process and the supplementary variable technique, some important reliability indices such as the system availability, rate of occurrence of failure (ROCOF) and the probability that the system is waiting for replacement are derived. An ordering policy N - 1 and a replacement policy N based on the number of failures of the system are also considered. Furthermore, employing several Lemmas, the explicit expression of the average cost rate is derived. Meanwhile, the optimum value N* for minimizing the average cost rate could be determined numerically.

• 出版日期2012-3
• 单位四川轻化工大学; 四川师范大学; 清华大学; 电子科技大学