IDEAS home Printed from https://ideas.repec.org/p/ems/eureir/18591.html
   My bibliography  Save this paper

Improved Algorithms for a Lot-Sizing Problem with Inventory Bounds and Backlogging

Author

Listed:
  • Hwang, H.C.
  • van den Heuvel, W.

Abstract

This paper considers a dynamic lot-sizing problem with storage capacity limitation in which backlogging is allowed. For general concave production and inventory costs, we present an O(T2) dynamic programming algorithm where T is the length of the planning horizon. Furthermore, for fixed-charge and nonspeculative costs, we provide O(Tlog T) and O(T) algorithms, respectively. This paper therefore concludes that the time complexity to solve the bounded inventory lot-sizing problem with backlogging is the same as the complexity to solve the uncapacitated lot-sizing problem for the commonly used cost structures

Suggested Citation

  • Hwang, H.C. & van den Heuvel, W., 2010. "Improved Algorithms for a Lot-Sizing Problem with Inventory Bounds and Backlogging," Econometric Institute Research Papers EI 2010-17, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  • Handle: RePEc:ems:eureir:18591
    as

    Download full text from publisher

    File URL: https://repub.eur.nl/pub/18591/EI2010-17.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Gutiérrez, J. & Sedeí±o-Noda, A. & Colebrook, M. & Sicilia, J., 2008. "An efficient approach for solving the lot-sizing problem with time-varying storage capacities," European Journal of Operational Research, Elsevier, vol. 189(3), pages 682-693, September.
    2. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    3. Richter, Knut & Sombrutzki, Mirko, 2000. "Remanufacturing planning for the reverse Wagner/Whitin models," European Journal of Operational Research, Elsevier, vol. 121(2), pages 304-315, March.
    4. van den Heuvel, W. & Wagelmans, A.P.M., 2007. "Four equivalent lot-sizing models," Econometric Institute Research Papers EI 2007-30, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    5. van den Heuvel, Wilco & Gutiérrez, José Miguel & Hwang, Hark-Chin, 2011. "Note on "An efficient approach for solving the lot-sizing problem with time-varying storage capacities"," European Journal of Operational Research, Elsevier, vol. 213(2), pages 455-457, September.
    6. Willard I. Zangwill, 1968. "Minimum Concave Cost Flows in Certain Networks," Management Science, INFORMS, vol. 14(7), pages 429-450, March.
    7. Awi Federgruen & Michal Tzur, 1991. "A Simple Forward Algorithm to Solve General Dynamic Lot Sizing Models with n Periods in 0(n log n) or 0(n) Time," Management Science, INFORMS, vol. 37(8), pages 909-925, August.
    8. van Hoesel, Stan & Wagelmans, Albert & Moerman, Bram, 1994. "Using geometric techniques to improve dynamic programming algorithms for the economic lot-sizing problem and extensions," European Journal of Operational Research, Elsevier, vol. 75(2), pages 312-331, June.
    9. Liu, Tieming, 2008. "Economic lot sizing problem with inventory bounds," European Journal of Operational Research, Elsevier, vol. 185(1), pages 204-215, February.
    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. Wolsey, L.A., 2015. "Uncapacitated Lot-Sizing with Stock Upper Bounds, Stock Fixed Costs, Stock Overloads and Backlogging: A Tight Formulation," CORE Discussion Papers 2015041, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Belleflamme, Paul & Vergote, Wouter, 2016. "Monopoly price discrimination and privacy: The hidden cost of hiding," Economics Letters, Elsevier, vol. 149(C), pages 141-144.
    3. Önal, Mehmet & van den Heuvel, Wilco & Liu, Tieming, 2012. "A note on “The economic lot sizing problem with inventory bounds”," European Journal of Operational Research, Elsevier, vol. 223(1), pages 290-294.
    4. Chung-Lun Li & Qingying Li, 2016. "Polynomial-Time Solvability of Dynamic Lot Size Problems," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(03), pages 1-20, June.

    More about this item

    Keywords

    algorithms; inventory and production; lot-sizing; storage capacity;

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:ems:eureir:18591. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (RePub). General contact details of provider: http://edirc.repec.org/data/feeurnl.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.