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An approximate model for base-stock-controlled assembly systems

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  • Zeynep Avsar
  • W. Zijm
  • Umut Rodoplu

Abstract

This study is on continuously reviewed base-stock-controlled assembly systems with Poisson demand arrivals and exponential single-server facilities used for manufacturing and assembly operations. A partially aggregated but exact queueing model is developed and approximated assuming that the state-dependent transition rates arising as a result of the partial aggregation are constant. It is shown that the steady-state probability distribution of this approximate model is a product-form distribution for the simplest case with two components making up an assembly. Based on this analytical observation, similar product-form distributions are proposed for more complex assembly systems. Comparisons with simulation and matrix-geometric solutions show that the proposed product-form steady-state distributions accurately approximate relevant performance measures with a considerable advantage in terms of the required computational effort. A greedy heuristic is devised to use approximate steady-state probabilities for optimizing design parameters like base-stock levels.[Supplementary materials are available for this article. Go to the publisher's online edition of IIE Transactions for the following free supplemental resources: appendix for the proofs, additional remarks, and figures and tables for the numerical results.]

Suggested Citation

  • 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.
    • Handle: RePEc:taf:uiiexx:v:41:y:2009:i:3:p:260-274
    DOI: 10.1080/07408170802510382
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    Cited by:

    1. Engin Topan & Zeynep Avṣar, 2011. "An approximation for kanban controlled assembly systems," Annals of Operations Research, Springer, vol. 182(1), pages 133-162, January.
    2. S. Rahimi-Ghahroodi & A. Al Hanbali & W. H. M. Zijm & J. K. W. Ommeren & A. Sleptchenko, 2017. "Integrated planning of spare parts and service engineers with partial backlogging," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(3), pages 711-748, July.
    3. 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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