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Availability Analysis of Software Systems with Rejuvenation and Checkpointing

Author

Listed:
  • Junjun Zheng

    (Department of Information Science and Engineering, Ritsumeikan University, 1-1-1 Nojihigashi, Kusatsu 5258577, Japan)

  • Hiroyuki Okamura

    (Graduate School of Advanced Science and Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashihiroshima 7398527, Japan)

  • Tadashi Dohi

    (Graduate School of Advanced Science and Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashihiroshima 7398527, Japan)

Abstract

In software reliability engineering, software-rejuvenation and -checkpointing techniques are widely used for enhancing system reliability and strengthening data protection. In this paper, a stochastic framework composed of a composite stochastic Petri reward net and its resulting non-Markovian availability model is presented to capture the dynamic behavior of an operational software system in which time-based software rejuvenation and checkpointing are both aperiodically conducted. In particular, apart from the software-aging problem that may cause the system to fail, human-error factors (i.e., a system operator’s misoperations) during checkpointing are also considered. To solve the stationary solution of the non-Markovian availability model, which is derived on the basis of the reachability graph of stochastic Petri reward nets and is actually not one of the trivial stochastic models such as the semi-Markov process and the Markov regenerative process, the phase-expansion approach is considered. In numerical experiments, we illustrate steady-state system availability and find optimal software-rejuvenation policies that maximize steady-state system availability. The effects of human-error factors on both steady-state system availability and the optimal software-rejuvenation trigger timing are also evaluated. Numerical results showed that human errors during checkpointing both decreased system availability and brought a significant effect on the optimal rejuvenation-trigger timing, so that it should not be overlooked during system modeling.

Suggested Citation

  • Junjun Zheng & Hiroyuki Okamura & Tadashi Dohi, 2021. "Availability Analysis of Software Systems with Rejuvenation and Checkpointing," Mathematics, MDPI, vol. 9(8), pages 1-15, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:8:p:846-:d:535090
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    References listed on IDEAS

    as
    1. Dohi, Tadashi & Zheng, Junjun & Okamura, Hiroyuki & Trivedi, Kishor S., 2018. "Optimal periodic software rejuvenation policies based on interval reliability criteria," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 463-475.
    2. Junjun Zheng & Hiroyuki Okamura & Tadashi Dohi, 2020. "A phase expansion for non-Markovian availability models with time-based aperiodic rejuvenation and checkpointing," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(15), pages 3712-3729, August.
    3. Juan E. Ruiz-Castro & Christian Acal & Ana M. Aguilera & Juan B. Roldán, 2021. "A Complex Model via Phase-Type Distributions to Study Random Telegraph Noise in Resistive Memories," Mathematics, MDPI, vol. 9(4), pages 1-16, February.
    4. Hiroyuki Okamura & Tadashi Dohi, 2016. "Fitting Phase-Type Distributions and Markovian Arrival Processes: Algorithms and Tools," Springer Series in Reliability Engineering, in: Lance Fiondella & Antonio Puliafito (ed.), Principles of Performance and Reliability Modeling and Evaluation, pages 49-75, Springer.
    5. Levitin, Gregory & Xing, Liudong & Luo, Liang, 2019. "Joint optimal checkpointing and rejuvenation policy for real-time computing tasks," Reliability Engineering and System Safety, Elsevier, vol. 182(C), pages 63-72.
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    Citations

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    Cited by:

    1. Tadashi Dohi & Hiroyuki Okamura & Cun-Hua Qian, 2022. "Computation algorithms for workload-dependent optimal checkpoint placement," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(2), pages 788-796, June.
    2. Huixia Huo, 2024. "Optimal Corrective Maintenance Policies via an Availability-Cost Hybrid Factor for Software Aging Systems," Mathematics, MDPI, vol. 12(5), pages 1-14, February.

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