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Approximate queueing models for capacitated multi-stage inventory systems under base-stock control

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  • Avṣar, Zeynep Müge
  • Henk Zijm, W.

Abstract

A queueing analysis is presented for base-stock controlled multi-stage production-inventory systems with capacity constraints. The exact queueing model is approximated by replacing some state-dependent conditional probabilities (that are used to express the transition rates) by constants. Two recursive algorithms (each with several variants) are developed for analysis of the steady-state performance. It is analytically shown that one of these algorithms is equivalent to the existing approximations given in the literature. The system studied here is more general than the systems studied in the literature. The numerical investigation for three-stage systems shows that the proposed approximations work well to estimate the relevant performance measures.

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  • 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.
    • Handle: RePEc:eee:ejores:v:236:y:2014:i:1:p:135-146
    DOI: 10.1016/j.ejor.2013.12.046
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    References listed on IDEAS

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    1. 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.
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    9. Liming Liu & Xiaoming Liu & David D. Yao, 2004. "Analysis and Optimization of a Multistage Inventory-Queue System," Management Science, INFORMS, vol. 50(3), pages 365-380, March.
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    Cited by:

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    2. Hanukov, Gabi & Avinadav, Tal & Chernonog, Tatyana & Yechiali, Uri, 2020. "A service system with perishable products where customers are either fastidious or strategic," International Journal of Production Economics, Elsevier, vol. 228(C).

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