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Dynamic Availability Analysis for the Flexible Manufacturing System Based on a Two-Step Stochastic Model

In: Reliability and Maintainability Assessment of Industrial Systems

Author

Listed:
  • Wenbin Zeng

    (Changchun Institute of Optics, Chinese Academy of Science)

  • Guixiang Shen

    (Jilin University)

  • Ilia Frenkel

    (Shamoon College of Engineering)

  • Igor Bolvashenkov

    (Technical University of Munich (TUM))

  • Jörg Kammermann

    (Technical University of Munich (TUM))

  • Hans-Georg Herzog

    (Technical University of Munich (TUM))

  • Lev Khvatskin

    (Shamoon College of Engineering)

  • Anatoly Lisnianski

    (Shamoon College of Engineering)

Abstract

The paper proposes a dynamic availability analysis approach for the flexible manufacturing system (FMS) under a stochastic environment that machines’ failure and starvation or blockage of production process occur randomly. Accurately knowing the availability of the FMS, which is changing dynamically overtime in a stochastic circumstance could benefit a lot for the improvement or re-design of the system. A two-step stochastic model proposed in current paper that integrates the intermediate buffers into associated workstations equivalently in terms of the relationships between upstream and downstream production rates. Calculation procedures of relevant dynamic availability are established by using the $$Lz$$ Lz -transform method, which conquer the states-explosion problem which is common in FMS performance analysis. Meanwhile, the impacts of intermediate buffers on the FMS dynamic availability also revealed, which assist to determine the appropriate volumes of the buffers to satisfy the various FMS production demands. A numerical example is presented for illustrating the effectiveness and rationality of the approach.

Suggested Citation

  • Wenbin Zeng & Guixiang Shen & Ilia Frenkel & Igor Bolvashenkov & Jörg Kammermann & Hans-Georg Herzog & Lev Khvatskin & Anatoly Lisnianski, 2022. "Dynamic Availability Analysis for the Flexible Manufacturing System Based on a Two-Step Stochastic Model," Springer Series in Reliability Engineering, in: Mangey Ram & Hoang Pham (ed.), Reliability and Maintainability Assessment of Industrial Systems, pages 1-19, Springer.
    • Handle: RePEc:spr:ssrchp:978-3-030-93623-5_1
    DOI: 10.1007/978-3-030-93623-5_1
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