IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v42y1996i2p259-268.html
   My bibliography  Save this article

Setting Base Stock Levels Using Product-Form Queueing Networks

Author

Listed:
  • Rodrigo Rubio

    (Operations Research Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139)

  • Lawrence M. Wein

    (Sloan School of Management, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139)

Abstract

A manufacturing facility produces multiple products in a make-to-stock manner, and unsatisfied demand is backordered. A simple production control policy is analyzed: When the amount of work-in-process inventory plus finished goods inventory for a particular product falls below a base stock level, then release another unit of that product onto the shop floor. Assuming that the work-in-process inventory has a steady state distribution and that there are different costs incurred for carrying in-process, completed and backordered units, we show that the cost minimizing base stock level for each product is a critical fractile of the steady state distribution of the product's total work-in-process inventory. By exploiting the relationship between the make-to-stock system and an open queueing network, we identify specific formulas for the base stock levels under standard product-form assumptions. For the lost sales case, a similar relation to a closed queueing network can be used to characterize the optimal control parameters.

Suggested Citation

  • Rodrigo Rubio & Lawrence M. Wein, 1996. "Setting Base Stock Levels Using Product-Form Queueing Networks," Management Science, INFORMS, vol. 42(2), pages 259-268, February.
    • Handle: RePEc:inm:ormnsc:v:42:y:1996:i:2:p:259-268
    DOI: 10.1287/mnsc.42.2.259
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.42.2.259
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.42.2.259?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
    ---><---

    Citations

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


    Cited by:

    1. Nha-Nghi Cruz & Hans Daduna, 2019. "Optimal capacity allocation in a production–inventory system with base stock," Annals of Operations Research, Springer, vol. 277(2), pages 329-344, June.
    2. Liberopoulos, George & Koukoumialos, Stelios, 2005. "Tradeoffs between base stock levels, numbers of kanbans, and planned supply lead times in production/inventory systems with advance demand information," International Journal of Production Economics, Elsevier, vol. 96(2), pages 213-232, May.
    3. Toktay, Latife Beril, 1970- & Wein, Lawrence M., 1999. "Analysis of a forecasting-production-inventory system with stationary demand," Working papers WP 4070-99., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    4. Saif Benjaafar & William L. Cooper & Joon-Seok Kim, 2005. "On the Benefits of Pooling in Production-Inventory Systems," Management Science, INFORMS, vol. 51(4), pages 548-565, April.
    5. Ganesh Janakiraman & Mahesh Nagarajan & Senthil Veeraraghavan, 2018. "Simple Policies for Managing Flexible Capacity," Manufacturing & Service Operations Management, INFORMS, vol. 20(2), pages 333-346, May.
    6. Ananth V. Iyer & Apurva Jain, 2004. "Modeling the Impact of Merging Capacity in Production-Inventory Systems," Management Science, INFORMS, vol. 50(8), pages 1082-1094, August.
    7. L. Beril Toktay & Lawrence M. Wein & Stefanos A. Zenios, 2000. "Inventory Management of Remanufacturable Products," Management Science, INFORMS, vol. 46(11), pages 1412-1426, November.
    8. 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.
    9. Bayindir, Z. Pelin & Erkip, Nesim & Gullu, Refik, 2003. "A model to evaluate inventory costs in a remanufacturing environment," International Journal of Production Economics, Elsevier, vol. 81(1), pages 597-607, January.
    10. René Caldentey & Lawrence M. Wein, 2006. "Revenue Management of a Make-to-Stock Queue," Operations Research, INFORMS, vol. 54(5), pages 859-875, October.
    11. Toktay, Latife Beril, 1970- & Wein, Lawrence A. & Zenios, Stefanos A., 1997. "Inventory management of remanufacturable products," Working papers WP 3965-97., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    12. L. Beril Toktay & Lawrence M. Wein, 2001. "Analysis of a Forecasting-Production-Inventory System with Stationary Demand," Management Science, INFORMS, vol. 47(9), pages 1268-1281, September.
    13. René Caldentey & Lawrence M. Wein, 2003. "Analysis of a Decentralized Production-Inventory System," Manufacturing & Service Operations Management, INFORMS, vol. 5(1), pages 1-17, November.
    14. Apurva Jain & Kamran Moinzadeh, 2005. "A Supply Chain Model with Reverse Information Exchange," Manufacturing & Service Operations Management, INFORMS, vol. 7(4), pages 360-378, November.
    15. Apurva Jain, 2006. "Priority and dynamic scheduling in a make‐to‐stock queue with hyperexponential demand," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(5), pages 363-382, August.
    16. Caldentey, René. & Wein, Lawrence M., 1999. "Analysis of decentralized production-inventory system," Working papers WP 4099-99., Massachusetts Institute of Technology (MIT), Sloan School of Management.

    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:inm:ormnsc:v:42:y:1996:i:2:p:259-268. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.