IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v21y1974i3p251-255.html
   My bibliography  Save this article

Planning Horizons for the Dynamic Lot Size Model with Backlogging

Author

Listed:
  • Joseph D. Blackburn

    (University of Chicago)

  • Howard Kunreuther

    (University of Pennsylvania)

Abstract

Planning horizons are developed for the dynamic economic lot site model with backlogging when the marginal production cost is either constant or variable. The inventory holding and backlogging cost functions are assumed to be concave. An efficient forward algorithm generalizes the Eppen-Gould-Pashigian procedure and enables us to place bounds on the optimal production plan should a horizon not be found.

Suggested Citation

  • Joseph D. Blackburn & Howard Kunreuther, 1974. "Planning Horizons for the Dynamic Lot Size Model with Backlogging," Management Science, INFORMS, vol. 21(3), pages 251-255, November.
    • Handle: RePEc:inm:ormnsc:v:21:y:1974:i:3:p:251-255
    DOI: 10.1287/mnsc.21.3.251
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.21.3.251
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.21.3.251?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. Kimms, A, 1998. "Stability Measures for Rolling Schedules with Applications to Capacity Expansion Planning, Master Production Scheduling, and Lot Sizing," Omega, Elsevier, vol. 26(3), pages 355-366, June.
    2. Archis Ghate & Robert L. Smith, 2009. "Optimal Backlogging Over an Infinite Horizon Under Time-Varying Convex Production and Inventory Costs," Manufacturing & Service Operations Management, INFORMS, vol. 11(2), pages 362-368, June.
    3. James C. Bean & Robert L. Smith & Candace A. Yano, 1987. "Forecast horizons for the discounted dynamic lot‐size problem allowing speculative motive," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(6), pages 761-774, December.
    4. Ioannis Ganas & Sotirios Papachristos, 2005. "The Single-Product Lot-Sizing Problem with Constant Parameters and Backlogging: Exact Results, a New Solution, and All Parameter Stability Regions," Operations Research, INFORMS, vol. 53(1), pages 170-176, February.
    5. Kian, Ramez & Gürler, Ülkü & Berk, Emre, 2014. "The dynamic lot-sizing problem with convex economic production costs and setups," International Journal of Production Economics, Elsevier, vol. 155(C), pages 361-379.
    6. Robert L. Smith & Rachel Q. Zhang, 1998. "Infinite Horizon Production Planning in Time-Varying Systems with Convex Production and Inventory Costs," Management Science, INFORMS, vol. 44(9), pages 1313-1320, September.
    7. Fuying Jing & Zirui Lan, 2017. "Forecast horizon of multi-item dynamic lot size model with perishable inventory," PLOS ONE, Public Library of Science, vol. 12(11), pages 1-15, November.
    8. Suresh Chand & Vernon Ning Hsu & Suresh Sethi, 2002. "Forecast, Solution, and Rolling Horizons in Operations Management Problems: A Classified Bibliography," Manufacturing & Service Operations Management, INFORMS, vol. 4(1), pages 25-43, September.
    9. Kimms, Alf, 1996. "Stability measures for rolling schedules with applications to capacity expansion planning, master production scheduling, and lot sizing," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 418, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    10. Vernon Ning Hsu, 2000. "Dynamic Economic Lot Size Model with Perishable Inventory," Management Science, INFORMS, vol. 46(8), pages 1159-1169, August.
    11. Awi Federgruen & Michal Tzur, 1993. "The dynamic lot‐sizing model with backlogging: A simple o(n log n) algorithm and minimal forecast horizon procedure," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(4), pages 459-478, June.

    More about this item

    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:inm:ormnsc:v:21:y:1974:i:3:p:251-255. 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.