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An approximation for kanban controlled assembly systems

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  • Engin Topan
  • Zeynep Avṣar

Abstract

An approximation is proposed to evaluate the steady-state performance of kanban controlled two-stage assembly systems. The development of the approximation is as follows. The considered continuous-time Markov chain is aggregated keeping the model exact, and this aggregate model is approximated replacing some state-dependent transition rates with constant rates. The approximate aggregate model is, then, decomposed into submodels and a product-form steady-state distribution is obtained for each submodel. Finally, the submodels are combined in such a way that the size of the problem becomes independent of the number of kanbans. This leads to the computational advantage in solving the combined model using numerical matrix-geometric solution algorithms. Numerical comparisons of the combined model with simulation, exact model, approximate aggregate model and an approximation in the literature show that the proposed approximation performs well in terms of accuracy and computational burden. Copyright Springer Science+Business Media, LLC 2011

Suggested Citation

  • Engin Topan & Zeynep Avṣar, 2011. "An approximation for kanban controlled assembly systems," Annals of Operations Research, Springer, vol. 182(1), pages 133-162, January.
    • Handle: RePEc:spr:annopr:v:182:y:2011:i:1:p:133-162:10.1007/s10479-009-0560-1
    DOI: 10.1007/s10479-009-0560-1
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    References listed on IDEAS

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    1. Matta, Andrea & Dallery, Yves & Di Mascolo, Maria, 2005. "Analysis of assembly systems controlled with kanbans," European Journal of Operational Research, Elsevier, vol. 166(2), pages 310-336, October.
    2. Baynat, Bruno & Dallery, Yves, 1993. "Approximate techniques for general closed queueing networks with subnetworks having population constraints," European Journal of Operational Research, Elsevier, vol. 69(2), pages 250-264, September.
    3. Zeynep Avsar & W. Zijm & Umut Rodoplu, 2009. "An approximate model for base-stock-controlled assembly systems," IISE Transactions, Taylor & Francis Journals, vol. 41(3), pages 260-274.
    4. Maria Di Mascolo & Yannick Frein & Yves Dallery, 1996. "An Analytical Method for Performance Evaluation of Kanban Controlled Production Systems," Operations Research, INFORMS, vol. 44(1), pages 50-64, February.
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    Cited by:

    1. Avṣar, Zeynep Müge & Henk Zijm, W., 2014. "Approximate queueing models for capacitated multi-stage inventory systems under base-stock control," European Journal of Operational Research, Elsevier, vol. 236(1), pages 135-146.

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