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Modeling and analysis of multi‐stage transfer lines with unreliable machines and finite buffers

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  • Sheng Yang
  • Cheng Wu
  • S. Hu

Abstract

This paper models and analyzes multi‐stage transfer lines with unreliable machines and finite buffers. The machines have exponential operation, failure, and repair processes. First, a mixed vector–scalar Markov process model is presented based on some notations of mixed vector–scalar operations. Then, several steady‐state system properties are deduced from this model. These include the reversibility and duality of transfer lines, conservation of flow, and the flow rate–idle time relationship. Finally, a four‐stage transfer line case is used to compare and evaluate the accuracy of some approximation methods presented in the literature with the exact numerical solutions this model can provide. The properties and their proofs in this paper lay the theoretic foundation for some widely held assumptions in decomposition techniques of long transfer lines in the area of manufacturing systems engineering. Copyright Kluwer Academic Publishers 2000

Suggested Citation

  • Sheng Yang & Cheng Wu & S. Hu, 2000. "Modeling and analysis of multi‐stage transfer lines with unreliable machines and finite buffers," Annals of Operations Research, Springer, vol. 93(1), pages 405-421, January.
    • Handle: RePEc:spr:annopr:v:93:y:2000:i:1:p:405-421:10.1023/a:1018944411591
    DOI: 10.1023/A:1018944411591
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    Cited by:

    1. Marcello Colledani & Tullio Tolio, 2011. "Performance evaluation of transfer lines with general repair times and multiple failure modes," Annals of Operations Research, Springer, vol. 182(1), pages 31-65, January.
    2. Liu, Jialu & Yang, Sheng & Wu, Aiguo & Hu, S. Jack, 2012. "Multi-state throughput analysis of a two-stage manufacturing system with parallel unreliable machines and a finite buffer," European Journal of Operational Research, Elsevier, vol. 219(2), pages 296-304.
    3. Zhang, Yongjin & Zhao, Ming & Zhang, Yanjun & Pan, Ruilin & Cai, Jing, 2020. "Dynamic and steady-state performance analysis for multi-state repairable reconfigurable manufacturing systems with buffers," European Journal of Operational Research, Elsevier, vol. 283(2), pages 491-510.

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