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Transient analysis of Bernoulli serial lines: performance evaluation and system-theoretic properties

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  • Liang Zhang
  • Chuanfeng Wang
  • Jorge Arinez
  • Stephan Biller

Abstract

Transient behavior of production systems has significant practical and theoretical implications. However, analytical methods for analysis and control of production systems during transients remain largely unexplored. In the framework of serial production lines with Bernoulli machines and finite buffers, this article develops a mathematical model for transient analysis and derives closed-form expressions for evaluating the production rate, consumption rate, work-in-process, and probabilities of machine starvation and blockage during transients. In addition, a computationally efficient procedure based on recursive aggregation is developed to approximate the transient performance measures with high accuracy. Finally, based on the mathematical model derived, system-theoretic properties of several important system transient characteristics are studied.

Suggested Citation

  • Liang Zhang & Chuanfeng Wang & Jorge Arinez & Stephan Biller, 2013. "Transient analysis of Bernoulli serial lines: performance evaluation and system-theoretic properties," IISE Transactions, Taylor & Francis Journals, vol. 45(5), pages 528-543.
    • Handle: RePEc:taf:uiiexx:v:45:y:2013:i:5:p:528-543
    DOI: 10.1080/0740817X.2012.721946
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    Cited by:

    1. Yang Li & Qirong Tang & Qing Chang & Michael P. Brundage, 2017. "An event-based analysis of condition-based maintenance decision-making in multistage production systems," International Journal of Production Research, Taylor & Francis Journals, vol. 55(16), pages 4753-4764, August.
    2. Carolina Osorio & Jana Yamani, 2017. "Analytical and Scalable Analysis of Transient Tandem Markovian Finite Capacity Queueing Networks," Transportation Science, INFORMS, vol. 51(3), pages 823-840, August.
    3. Zhiyang Jia & Liang Zhang & Jorge Arinez & Guoxian Xiao, 2016. "Performance analysis for serial production lines with Bernoulli Machines and Real-time WIP-based Machine switch-on/off control," International Journal of Production Research, Taylor & Francis Journals, vol. 54(21), pages 6285-6301, November.
    4. Neven Hadžić & Viktor Ložar & Tihomir Opetuk & Robert Keser, 2023. "Transient Response of Homogenous and Nonhomogenous Bernoulli Production Lines," Mathematics, MDPI, vol. 11(24), pages 1-24, December.

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