IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v114y2008i1p201-204.html
   My bibliography  Save this article

An easy derivation of the order level optimality condition for inventory systems with backordering

Author

Listed:
  • Teunter, Ruud
  • Dekker, Rommert

Abstract

We analyze the classical inventory model with backordering, where the inventory position is controlled by an order level, order quantity policy. The cost for a backorder contains a fixed and a time-proportional component. Demand can be driven by any discrete process. Order lead times may be stochastic and orders are allowed to cross. The optimality condition for the order-level, given some predetermined order quantity, is derived using an easy and insightful marginal cost analysis. It is further shown how this condition can easily be (approximately) rewritten in well-known forms for special cases.

Suggested Citation

  • Teunter, Ruud & Dekker, Rommert, 2008. "An easy derivation of the order level optimality condition for inventory systems with backordering," International Journal of Production Economics, Elsevier, vol. 114(1), pages 201-204, July.
    • Handle: RePEc:eee:proeco:v:114:y:2008:i:1:p:201-204
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925-5273(08)00025-X
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Ronald, Robert & Yang, Gino K. & Chu, Peter, 2004. "Technical note: The EOQ and EPQ models with shortages derived without derivatives," International Journal of Production Economics, Elsevier, vol. 92(2), pages 197-200, November.
    2. Cardenas-Barron, Leopoldo Eduardo, 2001. "The economic production quantity (EPQ) with shortage derived algebraically," International Journal of Production Economics, Elsevier, vol. 70(3), pages 289-292, April.
    3. Grubbstrom, Robert W. & Erdem, Asli, 1999. "The EOQ with backlogging derived without derivatives," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 529-530, March.
    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. Rossetti, Manuel D. & Yasin Ünlü, 2011. "Evaluating the robustness of lead time demand models," International Journal of Production Economics, Elsevier, vol. 134(1), pages 159-176, November.

    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. Leung, Kit-Nam Francis, 2010. "Some comments on "A simple method to compute economic order quantities"," European Journal of Operational Research, Elsevier, vol. 201(3), pages 960-961, March.
    2. Leung, Kit-Nam Francis, 2008. "Using the complete squares method to analyze a lot size model when the quantity backordered and the quantity received are both uncertain," European Journal of Operational Research, Elsevier, vol. 187(1), pages 19-30, May.
    3. Luo, Xu-Ren & Chou, Chih-sheng, 2018. "Technical note: Solving inventory models by algebraic method," International Journal of Production Economics, Elsevier, vol. 200(C), pages 130-133.
    4. Jason Chang, S.K. & Chuang, Jones P.C. & Chen, Hsiao-Jung, 2005. "Short comments on technical note--The EOQ and EPQ models with shortages derived without derivatives," International Journal of Production Economics, Elsevier, vol. 97(2), pages 241-243, August.
    5. Minner, Stefan, 2007. "A note on how to compute economic order quantities without derivatives by cost comparisons," International Journal of Production Economics, Elsevier, vol. 105(1), pages 293-296, January.
    6. Teng, Jinn-Tsair, 2009. "A simple method to compute economic order quantities," European Journal of Operational Research, Elsevier, vol. 198(1), pages 351-353, October.
    7. Chung, Kun-Jen, 2009. ""A note on the economic lot size of the integrated vendor-buyer inventory system derived without derivatives": A comment," European Journal of Operational Research, Elsevier, vol. 198(3), pages 979-982, November.
    8. Wee, Hui-Ming & Wang, Wan-Tsu & Chung, Chun-Jen, 2009. "A modified method to compute economic order quantities without derivatives by cost-difference comparisons," European Journal of Operational Research, Elsevier, vol. 194(1), pages 336-338, April.
    9. Chiu, Singa Wang, 2008. "Production lot size problem with failure in repair and backlogging derived without derivatives," European Journal of Operational Research, Elsevier, vol. 188(2), pages 610-615, July.
    10. Sphicas, Georghios P., 2014. "Generalized EOQ formula using a new parameter: Coefficient of backorder attractiveness," International Journal of Production Economics, Elsevier, vol. 155(C), pages 143-147.
    11. Ronald, Robert & Yang, Gino K. & Chu, Peter, 2004. "Technical note: The EOQ and EPQ models with shortages derived without derivatives," International Journal of Production Economics, Elsevier, vol. 92(2), pages 197-200, November.
    12. Chung, Chun Jen & Wee, Hui Ming, 2007. "Optimizing the economic lot size of a three-stage supply chain with backordering derived without derivatives," European Journal of Operational Research, Elsevier, vol. 183(2), pages 933-943, December.
    13. Sarker, Bhaba R. & Rochanaluk, Ratkrit & Yi, Huizhi & Egbelu, Pius J., 2014. "An operational policy for a three-stage distributive supply chain system with retailers’ backorders," International Journal of Production Economics, Elsevier, vol. 156(C), pages 332-345.
    14. Li, Jian & Wang, Shouyang & Cheng, T.C. Edwin, 2008. "Analysis of postponement strategy by EPQ-based models with planned backorders," Omega, Elsevier, vol. 36(5), pages 777-788, October.
    15. Egri, Péter & Váncza, József, 2012. "Channel coordination with the newsvendor model using asymmetric information," International Journal of Production Economics, Elsevier, vol. 135(1), pages 491-499.
    16. Lee, Shine-Der & Lan, Shu-Chuan, 2013. "Production lot sizing with a secondary outsourcing facility," International Journal of Production Economics, Elsevier, vol. 141(1), pages 414-424.
    17. Francis Leung, Kit-Nam, 2008. "Technical note: A use of the complete squares method to solve and analyze a quadratic objective function with two decision variables exemplified via a deterministic inventory model with a mixture of b," International Journal of Production Economics, Elsevier, vol. 113(1), pages 275-281, May.
    18. Chang, Hung-Chi & Ho, Chia-Huei, 2010. "Exact closed-form solutions for "optimal inventory model for items with imperfect quality and shortage backordering"," Omega, Elsevier, vol. 38(3-4), pages 233-237, June.
    19. Wee, Hui Ming & Chung, Chun Jen, 2007. "A note on the economic lot size of the integrated vendor-buyer inventory system derived without derivatives," European Journal of Operational Research, Elsevier, vol. 177(2), pages 1289-1293, March.
    20. Sphicas, Georghios P., 2006. "EOQ and EPQ with linear and fixed backorder costs: Two cases identified and models analyzed without calculus," International Journal of Production Economics, Elsevier, vol. 100(1), pages 59-64, March.

    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:eee:proeco:v:114:y:2008:i:1:p:201-204. 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.