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Analysis of closed-loop production lines with Bernoulli reliability machines: Theory and application

Author

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  • Yuan Feng
  • Xiang Zhong
  • Jingshan Li
  • Wenhui Fan

Abstract

In this article, an iteration approach is introduced to study closed-loop production lines with a constant number of carriers. A Bernoulli machine reliability model is assumed. The closed-loop system is decomposed into multiple small loop lines and further down to two-machine loops, in which the distributions of carriers are derived. Then an iteration procedure is presented to estimate the interactions between the small loops to modify the carrier distributions. Upon convergence, the system production rate can be estimated using these distributions. The convergence of the procedure is proved analytically, and the accuracy of estimation is justified numerically. It is shown that the method has good accuracy and computational efficiency. In addition, a case study at an automotive assembly plant is introduced to illustrate the applicability of the method.

Suggested Citation

  • Yuan Feng & Xiang Zhong & Jingshan Li & Wenhui Fan, 2018. "Analysis of closed-loop production lines with Bernoulli reliability machines: Theory and application," IISE Transactions, Taylor & Francis Journals, vol. 50(3), pages 143-160, March.
    • Handle: RePEc:taf:uiiexx:v:50:y:2018:i:3:p:143-160
    DOI: 10.1080/24725854.2017.1299957
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    References listed on IDEAS

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    1. N. Maggio & A. Matta & S. Gershwin & T. Tolio, 2009. "A decomposition approximation for three-machine closed-loop production systems with unreliable machines, finite buffers and a fixed population," IISE Transactions, Taylor & Francis Journals, vol. 41(6), pages 562-574.
    2. Svenja Lagershausen & Michael Manitz & Horst Tempelmeier, 2013. "Performance analysis of closed-loop assembly lines with general processing times and finite buffer spaces," IISE Transactions, Taylor & Francis Journals, vol. 45(5), pages 502-515.
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