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

  • Authors:

  • Miaomiao Yu;Yinghui Tang;Yonghong Fu;Lemeng Pan;Xiaowo Tang

  • Affiliations:

  • School of Science, Sichuan University of Science and Engineering, 643000 Zigong, Sichuan, China and School of Mathematics & Software Science, Sichuan Normal University, 610068 Chengdu, Sichuan, Ch ...;School of Mathematics & Software Science, Sichuan Normal University, 610068 Chengdu, Sichuan, China;Department of Computer Science and Technology, Tsinghua University, 100084 Beijing, China;Department of Mathematics, University of Maryland, College Park, MD 20742, USA;School of Management and Economic, University of Electronic Science & Technology of China, 610054 Chengdu, China

  • Venue:
  • Computers and Industrial Engineering
  • Year:
  • 2012

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Abstract

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.