A phase expansion for non-Markovian availability models with time-based aperiodic rejuvenation and checkpointing |
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Authors: | Junjun Zheng Hiroyuki Okamura Tadashi Dohi |
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Institution: | 1. Department of Information Science and Engineering, Ritsumeikan University, Kusatsu, Japan;2. jzheng@asl.cs.ritsumei.ac.jp;4. Department of Information Engineering, Hiroshima University, Higashihiroshima, Japan |
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Abstract: | AbstractThis paper presents a stochastic framework, consisting of stochastic reward net (SRN) for capturing the transient behaviors of the system and its related non-Markovian state transition diagram, to model an operational software system that undergoes aperiodic time-based rejuvenation and checkpointing schemes, and further to investigate whether there exists the optimal rejuvenation schedule that maximizes the system steady-state availability. A phase expansion approach is adopted to solve the non-Markovian availability models, which are actually neither the semi-Markov processes nor the Markov regenerative processes. Our numerical results show an appropriate rejuvenation trigger timing range, resulting in the positive improvement effect on the system availability of a database system, and that there exists the optimal rejuvenation trigger timing maximizing the system availability. |
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Keywords: | Software rejuvenation checkpointing stochastic reward net non-Markovian process phase expansion optimal rejuvenation trigger timing steady-state availability |
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