Journal of shanghai Jiaotong University (Science) ›› 2015, Vol. 20 ›› Issue (3): 349-352.doi: 10.1007/s12204-015-1635-6

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Multi-Point and Multi-Interval Availabilities for Markov Repairable Systems with History-Dependent Up and Down States

Multi-Point and Multi-Interval Availabilities for Markov Repairable Systems with History-Dependent Up and Down States

WANG Wen-guang (王文光), DU Shi-jia* (杜时佳), CUI Li-rong (崔利荣)   

  1. (School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China)
  2. (School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China)
  • Published:2015-06-11
  • Contact: DU Shi-jia (杜时佳) E-mail:dushijia111@126.com

Abstract: A Markov repairable system with history-dependent up and down states is presented. The state space of the repairable system is divided into three sets, which are up states, down states and changeable states. Using aggregated stochastic processes, we can get the multi-interval availability and multi-point availability for the Markov repairable system. Finally, numerical examples are given to illustrate the obtained results.

Key words: Markov repairable system| multi-interval availability| multi-point availability

摘要: A Markov repairable system with history-dependent up and down states is presented. The state space of the repairable system is divided into three sets, which are up states, down states and changeable states. Using aggregated stochastic processes, we can get the multi-interval availability and multi-point availability for the Markov repairable system. Finally, numerical examples are given to illustrate the obtained results.

关键词: Markov repairable system| multi-interval availability| multi-point availability

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