IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v143y2013i2p379-384.html
   My bibliography  Save this article

Modified base-stock policies for continuous-review, lost-sales inventory models with Poisson demand and a fixed lead time

Author

Listed:
  • Johansen, Søren Glud

Abstract

This paper reconsiders the lost-sales inventory system studied by Hill (2007). The commonly assumed policy to apply to the system is a pure base-stock policy (PBSP) for which the best base stock is easily found. Hill shows that his simple delay policy (SDP) and full delay policy (FDP) perform better. The SDP is a (s,d) policy where s is the base stock of the best PBSP and d is a common lower bound on the delay between the placement of successive replenishment orders. We show by simulation that the d value suggested by Johansen (2001) outperforms Hill's suggestion and that the performance often can be further improved by optimizing d. For the test bed investigated by Hill, we show that, for some parameter settings, an additional improvement is achieved when s and d are optimized simultaneously. The policy suggested by Johansen performs better than the FDP in all settings where the former policy reduces the average cost of the best PBSP by at least 1%.

Suggested Citation

  • Johansen, Søren Glud, 2013. "Modified base-stock policies for continuous-review, lost-sales inventory models with Poisson demand and a fixed lead time," International Journal of Production Economics, Elsevier, vol. 143(2), pages 379-384.
    • Handle: RePEc:eee:proeco:v:143:y:2013:i:2:p:379-384
    DOI: 10.1016/j.ijpe.2012.02.021
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527312000795
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ijpe.2012.02.021?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. Woonghee Tim Huh & Ganesh Janakiraman & John A. Muckstadt & Paat Rusmevichientong, 2009. "Asymptotic Optimality of Order-Up-To Policies in Lost Sales Inventory Systems," Management Science, INFORMS, vol. 55(3), pages 404-420, March.
    2. Hill, R.M., 2007. "Continuous-review, lost-sales inventory models with Poisson demand, a fixed lead time and no fixed order cost," European Journal of Operational Research, Elsevier, vol. 176(2), pages 956-963, January.
    3. Hill, Roger M., 1999. "On the suboptimality of (S-1, S) lost sales inventory policies," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 387-393, March.
    4. Bijvank, Marco & Vis, Iris F.A., 2011. "Lost-sales inventory theory: A review," European Journal of Operational Research, Elsevier, vol. 215(1), pages 1-13, November.
    5. Johansen, Soren Glud, 2001. "Pure and modified base-stock policies for the lost sales inventory system with negligible set-up costs and constant lead times," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 391-399, May.
    6. Paul Zipkin, 2008. "Old and New Methods for Lost-Sales Inventory Systems," Operations Research, INFORMS, vol. 56(5), pages 1256-1263, October.
    7. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    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. Linwei Xin, 2021. "Technical Note—Understanding the Performance of Capped Base-Stock Policies in Lost-Sales Inventory Models," Operations Research, INFORMS, vol. 69(1), pages 61-70, January.
    2. Kouki, Chaaben & Babai, M. Zied & Jemai, Zied & Minner, Stefan, 2019. "Solution procedures for lost sales base-stock inventory systems with compound Poisson demand," International Journal of Production Economics, Elsevier, vol. 209(C), pages 172-182.
    3. Feki, Yassin & Hajji, Adnène & Rekik, Monia, 2016. "A hedging policy for carriers’ selection under availability and demand uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 85(C), pages 149-165.
    4. Guanghua Han & Xujin Pu & Bo Fan, 2017. "Sustainable Governance of Organic Food Production When Market Forecast Is Imprecise," Sustainability, MDPI, vol. 9(6), pages 1-20, June.

    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. Bijvank, Marco & Vis, Iris F.A., 2011. "Lost-sales inventory theory: A review," European Journal of Operational Research, Elsevier, vol. 215(1), pages 1-13, November.
    2. Bijvank, Marco & Vis, Iris F.A., 2012. "Lost-sales inventory systems with a service level criterion," European Journal of Operational Research, Elsevier, vol. 220(3), pages 610-618.
    3. Johansen, Soren Glud, 2005. "Base-stock policies for the lost sales inventory system with Poisson demand and Erlangian lead times," International Journal of Production Economics, Elsevier, vol. 93(1), pages 429-437, January.
    4. Kouki, Chaaben & Babai, M. Zied & Jemai, Zied & Minner, Stefan, 2019. "Solution procedures for lost sales base-stock inventory systems with compound Poisson demand," International Journal of Production Economics, Elsevier, vol. 209(C), pages 172-182.
    5. Bijvank, Marco & Johansen, Søren Glud, 2012. "Periodic review lost-sales inventory models with compound Poisson demand and constant lead times of any length," European Journal of Operational Research, Elsevier, vol. 220(1), pages 106-114.
    6. David A. Goldberg & Dmitriy A. Katz-Rogozhnikov & Yingdong Lu & Mayank Sharma & Mark S. Squillante, 2016. "Asymptotic Optimality of Constant-Order Policies for Lost Sales Inventory Models with Large Lead Times," Mathematics of Operations Research, INFORMS, vol. 41(3), pages 898-913, August.
    7. Jinzhi Bu & Xiting Gong & Dacheng Yao, 2019. "Technical Note—Constant-Order Policies for Lost-Sales Inventory Models with Random Supply Functions: Asymptotics and Heuristic," Operations Research, INFORMS, vol. 68(4), pages 1063-1073, July.
    8. Cai, Gangshu (George) & Chiang, Wen-Chyuan & Chen, Xiangfeng, 2011. "Game theoretic pricing and ordering decisions with partial lost sales in two-stage supply chains," International Journal of Production Economics, Elsevier, vol. 130(2), pages 175-185, April.
    9. Woonghee Tim Huh & Ganesh Janakiraman & John A. Muckstadt & Paat Rusmevichientong, 2009. "An Adaptive Algorithm for Finding the Optimal Base-Stock Policy in Lost Sales Inventory Systems with Censored Demand," Mathematics of Operations Research, INFORMS, vol. 34(2), pages 397-416, May.
    10. Linwei Xin & David A. Goldberg, 2016. "Optimality Gap of Constant-Order Policies Decays Exponentially in the Lead Time for Lost Sales Models," Operations Research, INFORMS, vol. 64(6), pages 1556-1565, December.
    11. Hill, Roger M. & Johansen, Soren Glud, 2006. "Optimal and near-optimal policies for lost sales inventory models with at most one replenishment order outstanding," European Journal of Operational Research, Elsevier, vol. 169(1), pages 111-132, February.
    12. Lin, X. & Basten, R.J.I. & Kranenburg, A.A. & van Houtum, G.J., 2017. "Condition based spare parts supply," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 240-248.
    13. Erica L. Plambeck & Amy R. Ward, 2007. "Note: A Separation Principle for a Class of Assemble-to-Order Systems with Expediting," Operations Research, INFORMS, vol. 55(3), pages 603-609, June.
    14. Ganesh Janakiraman & Robin O. Roundy, 2004. "Lost-Sales Problems with Stochastic Lead Times: Convexity Results for Base-Stock Policies," Operations Research, INFORMS, vol. 52(5), pages 795-803, October.
    15. Johansen, Søren Glud, 2021. "The Markov model for base-stock control of an inventory system with Poisson demand, non-crossing lead times and lost sales," International Journal of Production Economics, Elsevier, vol. 231(C).
    16. David Winkelmann & Charlotte Kohler, 2024. "Subscription-Based Inventory Planning for E-Grocery Retailing," Papers 2404.04097, arXiv.org.
    17. Elisa Alvarez & Matthieu Heijden & W. Zijm, 2015. "Service differentiation in spare parts supply through dedicated stocks," Annals of Operations Research, Springer, vol. 231(1), pages 283-303, August.
    18. Jason Acimovic & Stephen C. Graves, 2017. "Mitigating Spillover in Online Retailing via Replenishment," Manufacturing & Service Operations Management, INFORMS, vol. 19(3), pages 419-436, July.
    19. Retsef Levi & Ganesh Janakiraman & Mahesh Nagarajan, 2008. "A 2-Approximation Algorithm for Stochastic Inventory Control Models with Lost Sales," Mathematics of Operations Research, INFORMS, vol. 33(2), pages 351-374, May.
    20. Schneider, Frank & Klabjan, Diego, 2013. "Inventory control in multi-channel retail," European Journal of Operational Research, Elsevier, vol. 227(1), pages 101-111.

    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:proeco:v:143:y:2013:i:2:p:379-384. 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/ijpe .

    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.