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A new framework of complex system reliability with imperfect maintenance policy

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  • Mengmeng Zhu

    (North Carolina State University)

Abstract

The interactions and dependencies between software and hardware are often neglected in modeling system reliability in the past few decades due to the mathematical complexity. However, many system failures occurred from the interactions or simultaneous occurrences of software and hardware. This paper first proposes a new diagram of categorizing system-level failures and further incorporates such a diagram into the development of complex system reliability framework. System-level failures result from software subsystem, hardware subsystem, and the interactions of software and hardware subsystems. The focus of this study is on the investigation of the interactions failures generated from the interactions of software and hardware subsystems. In addition to the considerations of total hardware failures, software-induced hardware failures, and hardware-induced software failures introduced by Zhu and Pham (Mathematics 7(11):1049, 2019), we further introduce the partial hardware failures that can be respectively induced by hardware and software to explicitly demonstrate the dependencies and interactions between software and hardware. Hence, a new complex system reliability framework is developed based on such system-level failure categorization with the Markov process. Furthermore, the numerical examples are studied to illustrate the impacts on system reliability with the changes of state transition parameters that modeling the interactions of software and hardware subsystems. Finally, we have studied two maintenance policies of the proposed complex system reliability model.

Suggested Citation

  • Mengmeng Zhu, 2022. "A new framework of complex system reliability with imperfect maintenance policy," Annals of Operations Research, Springer, vol. 312(1), pages 553-579, May.
  • Handle: RePEc:spr:annopr:v:312:y:2022:i:1:d:10.1007_s10479-020-03852-w
    DOI: 10.1007/s10479-020-03852-w
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    References listed on IDEAS

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    1. Z. Sinuany-Stern, 1999. "Reliability and maintenance in production control ‐ an introduction," Annals of Operations Research, Springer, vol. 91(0), pages 1-10, January.
    2. Hoang Pham & Hongzhou Wang, 2000. "Optimal (τ, T) opportunistic maintenance of a k‐out‐of‐n:G system with imperfect PM and partial failure," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(3), pages 223-239, April.
    3. Yuka Minamino & Shinji Inoue & Shigeru Yamada, 2016. "NHPP-based change-point modeling for software reliability assessment and its application to software development management," Annals of Operations Research, Springer, vol. 244(1), pages 85-101, September.
    4. Wang, Jia & Bai, Guanghan & Li, Zhigang & Zuo, Ming J., 2020. "A general discrete degradation model with fatal shocks and age- and state-dependent nonfatal shocks," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    5. Mengmeng Zhu & Hoang Pham, 2018. "A multi-release software reliability modeling for open source software incorporating dependent fault detection process," Annals of Operations Research, Springer, vol. 269(1), pages 773-790, October.
    6. Mengmeng Zhu & Hoang Pham, 2019. "A Novel System Reliability Modeling of Hardware, Software, and Interactions of Hardware and Software," Mathematics, MDPI, vol. 7(11), pages 1-14, November.
    7. Hoang Pham, 2006. "Software Reliability Modeling," Springer Series in Reliability Engineering, in: System Software Reliability, chapter 5, pages 153-177, Springer.
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    Cited by:

    1. Sadiya & Mangey Ram & Akshay Kumar, 2022. "A New Approach to Compute System Reliability with Three-Serially Linked Modules," Mathematics, MDPI, vol. 11(1), pages 1-18, December.
    2. Dahye Lee & Inhong Chang & Hoang Pham, 2023. "Study of a New Software Reliability Growth Model under Uncertain Operating Environments and Dependent Failures," Mathematics, MDPI, vol. 11(18), pages 1-17, September.

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