IDEAS home Printed from https://ideas.repec.org/p/hhb/aarbls/2006-002.html
   My bibliography  Save this paper

Note: Optimal base-stock policy for the inventory system with periodic review, backorders and sequential lead times

Author

Listed:
  • Johansen, Søren Glud

    (Department of Operations Research)

  • Thorstenson, Anders

    (Department of Business Studies)

Abstract

We show that well-known textbook formulae for determining the optimal base stock of the inventory system with continuous review and constant lead time can easily be extended to the case with periodic review and stochastic, sequential lead times. The provided performance measures and conditions for optimality are exact

Suggested Citation

  • Johansen, Søren Glud & Thorstenson, Anders, 2005. "Note: Optimal base-stock policy for the inventory system with periodic review, backorders and sequential lead times," CORAL Working Papers L-2006-02, University of Aarhus, Aarhus School of Business, Department of Business Studies.
    • Handle: RePEc:hhb:aarbls:2006-002
    Note: Published as: Johansen, S G and Thorstenson, A, Note: Optimal Base-stock Policy for the Inventory System with Periodic Review, Backorders and Sequential Lead Times, International Journal of Inventory Research, Vol 1, No 1, 2008, pp 44-52
    as

    Download full text from publisher

    File URL: http://www.hha.dk/bs/wp/log/L_2006_02.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kaj Rosling, 2002. "Inventory Cost Rate Functions with Nonlinear Shortage Costs," Operations Research, INFORMS, vol. 50(6), pages 1007-1017, December.
    2. Uday S. Rao, 2003. "Properties of the Periodic Review (R, T) Inventory Control Policy for Stationary, Stochastic Demand," Manufacturing & Service Operations Management, INFORMS, vol. 5(1), pages 37-53, February.
    Full references (including those not matched with items on IDEAS)

    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. Tal Avinadav, 2015. "Continuous accounting of inventory costs with Brownian-motion and Poisson demand processes," Annals of Operations Research, Springer, vol. 229(1), pages 85-102, June.
    2. Awi Federgruen & Min Wang, 2013. "Monotonicity properties of a class of stochastic inventory systems," Annals of Operations Research, Springer, vol. 208(1), pages 155-186, September.
    3. Avinadav, Tal & Henig, Mordecai I., 2015. "Exact accounting of inventory costs in stochastic periodic-review models," International Journal of Production Economics, Elsevier, vol. 169(C), pages 89-98.
    4. Tal Avinadav, 2016. "Stochastic Periodic-Review Models with Duration- and Quantity-Dependent Inventory Costs: Properties and Approximations," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-25, August.
    5. Qing Li & Peiwen Yu, 2012. "Technical Note---On the Quasiconcavity of Lost-Sales Inventory Models with Fixed Costs," Operations Research, INFORMS, vol. 60(2), pages 286-291, April.
    6. Kevin H. Shang & Sean X. Zhou & Geert-Jan van Houtum, 2010. "Improving Supply Chain Performance: Real-Time Demand Information and Flexible Deliveries," Manufacturing & Service Operations Management, INFORMS, vol. 12(3), pages 430-448, May.
    7. Huang, Boray & Wu, Andy, 2017. "Reduce shortage with self-reservation policy for a manufacturer paying both fixed and variable stockout expenditure," European Journal of Operational Research, Elsevier, vol. 262(3), pages 944-953.
    8. Awi Federgruen & Min Wang, 2015. "Inventory Models with Shelf-Age and Delay-Dependent Inventory Costs," Operations Research, INFORMS, vol. 63(3), pages 701-715, June.
    9. Yan, Xiaoming & Zhao, Wenhan & Yu, Yugang, 2022. "Optimal product line design with reference price effects," European Journal of Operational Research, Elsevier, vol. 302(3), pages 1045-1062.
    10. Qing Li & Xiaoli Wu & Ki Ling Cheung, 2009. "Optimal Policies for Inventory Systems with Separate Delivery-Request and Order-Quantity Decisions," Operations Research, INFORMS, vol. 57(3), pages 626-636, June.
    11. Prak, Dennis & Teunter, Ruud & Babai, Mohamed Zied & Boylan, John E. & Syntetos, Aris, 2021. "Robust compound Poisson parameter estimation for inventory control," Omega, Elsevier, vol. 104(C).
    12. Bora Kat & Zeynep Avṣar, 2011. "Using aggregate fill rate for dynamic scheduling of multi-class systems," Annals of Operations Research, Springer, vol. 182(1), pages 87-117, January.
    13. Youhua (Frank) Chen & Minghui Xu & Zhe George Zhang, 2009. "Technical Note---A Risk-Averse Newsvendor Model Under the CVaR Criterion," Operations Research, INFORMS, vol. 57(4), pages 1040-1044, August.
    14. Marcus Ang & Karl Sigman & Jing-Sheng Song & Hanqin Zhang, 2017. "Closed-Form Approximations for Optimal ( r , q ) and ( S , T ) Policies in a Parallel Processing Environment," Operations Research, INFORMS, vol. 65(5), pages 1414-1428, October.
    15. Dai, Jiansheng & Meng, Weidong, 2015. "A risk-averse newsvendor model under marketing-dependency and price-dependency," International Journal of Production Economics, Elsevier, vol. 160(C), pages 220-229.
    16. Prak, Derk & Teunter, Rudolf & Babai, M. Z. & Syntetos, A. A. & Boylan, D, 2018. "Forecasting and Inventory Control with Compound Poisson Demand Using Periodic Demand Data," Research Report 2018010, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    17. Larsen, Christian, 2007. "Note: Comments on the paper by Rosling (2002)," CORAL Working Papers L-2007-03, University of Aarhus, Aarhus School of Business, Department of Business Studies.
    18. Wang, Huihui & Yu, Yimin & Zhang, Wei & Hua, Zhongsheng, 2019. "Procurement strategies for lost-sales inventory systems with all-units discounts," European Journal of Operational Research, Elsevier, vol. 272(2), pages 539-548.
    19. Sandun C. Perera & Suresh P. Sethi, 2023. "A survey of stochastic inventory models with fixed costs: Optimality of (s, S) and (s, S)‐type policies—Discrete‐time case," Production and Operations Management, Production and Operations Management Society, vol. 32(1), pages 131-153, January.
    20. Nils Rudi & Harry Groenevelt & Taylor R. Randall, 2009. "End-of-Period vs. Continuous Accounting of Inventory-Related Costs," Operations Research, INFORMS, vol. 57(6), pages 1360-1366, December.

    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:hhb:aarbls:2006-002. 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: Helle Vinbaek Stenholt (email available below). General contact details of provider: https://edirc.repec.org/data/ifhhadk.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.