IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v236y2014i1p135-146.html
   My bibliography  Save this article

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

Author

Listed:
  • 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.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221714000022
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2013.12.046?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    2. Engin Topan & Zeynep Avṣar, 2011. "An approximation for kanban controlled assembly systems," Annals of Operations Research, Springer, vol. 182(1), pages 133-162, January.
    3. Yong-Joo Lee & Paul Zipkin, 1995. "Processing Networks with Inventories: Sequential Refinement Systems," Operations Research, INFORMS, vol. 43(6), pages 1025-1036, December.
    4. 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.
    5. Zijm, W. Henk & Avsar, Zeynep Muge, 2003. "Capacitated two-indenture models for repairable item systems," International Journal of Production Economics, Elsevier, vol. 81(1), pages 573-588, January.
    6. Yong-Joo Lee & Paul Zipkin, 1992. "Tandem Queues with Planned Inventories," Operations Research, INFORMS, vol. 40(5), pages 936-947, October.
    7. Antony Svoronos & Paul Zipkin, 1991. "Evaluation of One-for-One Replenishment Policies for Multiechelon Inventory Systems," Management Science, INFORMS, vol. 37(1), pages 68-83, January.
    8. Markus Ettl & Gerald E. Feigin & Grace Y. Lin & David D. Yao, 2000. "A Supply Network Model with Base-Stock Control and Service Requirements," Operations Research, INFORMS, vol. 48(2), pages 216-232, April.
    9. Duri, C. & Frein, Y. & Di Mascolo, M., 2000. "Performance evaluation and design of base stock systems," European Journal of Operational Research, Elsevier, vol. 127(1), pages 172-188, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hanukov, Gabi & Avinadav, Tal & Chernonog, Tatyana & Yechiali, Uri, 2019. "Performance improvement of a service system via stocking perishable preliminary services," European Journal of Operational Research, Elsevier, vol. 274(3), pages 1000-1011.
    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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Liu, Xiaoming & Lian, Zhaotong, 2009. "Cost-effective inventory control in a value-added manufacturing system," European Journal of Operational Research, Elsevier, vol. 196(2), pages 534-543, July.
    2. David Simchi-Levi & Yao Zhao, 2005. "Safety Stock Positioning in Supply Chains with Stochastic Lead Times," Manufacturing & Service Operations Management, INFORMS, vol. 7(4), pages 295-318, December.
    3. 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.
    4. de Kok, Ton & Grob, Christopher & Laumanns, Marco & Minner, Stefan & Rambau, Jörg & Schade, Konrad, 2018. "A typology and literature review on stochastic multi-echelon inventory models," European Journal of Operational Research, Elsevier, vol. 269(3), pages 955-983.
    5. Bo Li & Antonio Arreola‐Risa, 2022. "Minimizing conditional value‐at‐risk under a modified basestock policy," Production and Operations Management, Production and Operations Management Society, vol. 31(4), pages 1822-1838, April.
    6. Wang, Fong-Fan & Su, Chao-Ton, 2007. "Performance evaluation of a multi-echelon production, transportation and distribution system: A matrix analytical approach," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1066-1083, January.
    7. van Houtum, G. J. & Inderfurth, K. & Zijm, W. H. M., 1996. "Materials coordination in stochastic multi-echelon systems," European Journal of Operational Research, Elsevier, vol. 95(1), pages 1-23, November.
    8. Almehdawe, Eman & Jewkes, Elizabeth, 2013. "Performance analysis and optimization of hybrid manufacturing systems under a batch ordering policy," International Journal of Production Economics, Elsevier, vol. 144(1), pages 200-208.
    9. Guillermo Gallego & Paul Zipkin, 1999. "Stock Positioning and Performance Estimation in Serial Production-Transportation Systems," Manufacturing & Service Operations Management, INFORMS, vol. 1(1), pages 77-88.
    10. Vanteddu, Gangaraju & Chinnam, Ratna Babu & Gushikin, Oleg, 2011. "Supply chain focus dependent supplier selection problem," International Journal of Production Economics, Elsevier, vol. 129(1), pages 204-216, January.
    11. Yossi Aviv, 2007. "On the Benefits of Collaborative Forecasting Partnerships Between Retailers and Manufacturers," Management Science, INFORMS, vol. 53(5), pages 777-794, May.
    12. Bo Li & Antonio Arreola‐Risa, 2021. "On minimizing downside risk in make‐to‐stock, risk‐averse firms," Naval Research Logistics (NRL), John Wiley & Sons, vol. 68(2), pages 199-213, March.
    13. Boute, Robert N. & Disney, Stephen M. & Lambrecht, Marc R. & Houdt, Benny Van, 2014. "Coordinating lead times and safety stocks under autocorrelated demand," European Journal of Operational Research, Elsevier, vol. 232(1), pages 52-63.
    14. Jing-Sheng Song & David D. Yao, 2002. "Performance Analysis and Optimization of Assemble-to-Order Systems with Random Lead Times," Operations Research, INFORMS, vol. 50(5), pages 889-903, October.
    15. Sen Lin & Bo Li & Antonio Arreola-Risa & Yiwei Huang, 2023. "Optimizing a single-product production-inventory system under constant absolute risk aversion," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(3), pages 510-537, October.
    16. Duri, C. & Frein, Y. & Di Mascolo, M., 2000. "Performance evaluation and design of base stock systems," European Journal of Operational Research, Elsevier, vol. 127(1), pages 172-188, November.
    17. Yao Zhao, 2008. "Evaluation and Optimization of Installation Base-Stock Policies in Supply Chains with Compound Poisson Demand," Operations Research, INFORMS, vol. 56(2), pages 437-452, April.
    18. Sanajian, Nima & BalcIog[small tilde]lu, BarIs, 2009. "The impact of production time variability on make-to-stock queue performance," European Journal of Operational Research, Elsevier, vol. 194(3), pages 847-855, May.
    19. Hoen, K.M.R. & Güllü, R. & van Houtum, G.J. & Vliegen, I.M.H., 2011. "A simple and accurate approximation for the order fill rates in lost-sales Assemble-to-Order systems," International Journal of Production Economics, Elsevier, vol. 133(1), pages 95-104, September.
    20. Willem van Jaarsveld & Alan Scheller-Wolf, 2015. "Optimization of Industrial-Scale Assemble-to-Order Systems," INFORMS Journal on Computing, INFORMS, vol. 27(3), pages 544-560, August.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:236:y:2014:i:1:p:135-146. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.