IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v54y2003i6d10.1057_palgrave.jors.2601482.html
   My bibliography  Save this article

An optimal replenishment policy for items with inventory-level-dependent demand and fixed lifetime under the LIFO policy

Author

Listed:
  • Y-W Zhou

    (Hefei University of Technology)

  • S-L Yang

    (Hefei University of Technology)

Abstract

In a recent paper, Hwang and Hahn considered inventory replenishment problems for an item with an inventory-level-dependent demand rate and a fixed lifetime. They developed an EQQ model under the situation of considering the first-in–first-out (FIFO) issuing policy. First, this paper reconsiders Hwang and Hann's problem by employing the last-in–first-out (LIFO) issuing policy, which is more practical in the retail industry. An inventory model is developed. Secondly, the concavity of the objective function is proved. Thirdly, this paper presents conditions where the present model has a unique optimal solution and a method for finding the global optimal solution. A simple solution procedure and sensitivity analyses of parameters are also provided.

Suggested Citation

  • Y-W Zhou & S-L Yang, 2003. "An optimal replenishment policy for items with inventory-level-dependent demand and fixed lifetime under the LIFO policy," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(6), pages 585-593, June.
  • Handle: RePEc:pal:jorsoc:v:54:y:2003:i:6:d:10.1057_palgrave.jors.2601482
    DOI: 10.1057/palgrave.jors.2601482
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1057/palgrave.jors.2601482
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1057/palgrave.jors.2601482?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. Goh, M., 1994. "EOQ models with general demand and holding cost functions," European Journal of Operational Research, Elsevier, vol. 73(1), pages 50-54, February.
    2. Pal, S. & Goswami, A. & Chaudhuri, K. S., 1993. "A deterministic inventory model for deteriorating items with stock-dependent demand rate," International Journal of Production Economics, Elsevier, vol. 32(3), pages 291-299, November.
    3. Hwang, Hark & Hahn, Kyu Hun, 2000. "An optimal procurement policy for items with an inventory level-dependent demand rate and fixed lifetime," European Journal of Operational Research, Elsevier, vol. 127(3), pages 537-545, December.
    4. Ishii, Hiroaki & Nose, Toyokazu & Shiode, Shgo & Nishida, Toshio, 1981. "Perishable inventory management subject to stochastic leadtime," European Journal of Operational Research, Elsevier, vol. 8(1), pages 76-85, September.
    5. Sarker, Bhaba R. & Mukherjee, Subhasis & Balan, Chidambaram V., 1997. "An order-level lot size inventory model with inventory-level dependent demand and deterioration," International Journal of Production Economics, Elsevier, vol. 48(3), pages 227-236, February.
    6. David Perry & M. J. M. Posner, 1998. "AN (S − 1, S) Inventory System with Fixed Shelf Life and Constant Lead Times," Operations Research, INFORMS, vol. 46(3-supplem), pages 65-71, June.
    7. Steven Nahmias, 1975. "Optimal Ordering Policies for Perishable Inventory—II," Operations Research, INFORMS, vol. 23(4), pages 735-749, August.
    8. Brant E. Fries, 1975. "Optimal Ordering Policy for a Perishable Commodity with Fixed Lifetime," Operations Research, INFORMS, vol. 23(1), pages 46-61, February.
    9. Steven Nahmias, 1977. "Higher-Order Approximations for the Perishable-Inventory Problem," Operations Research, INFORMS, vol. 25(4), pages 630-640, August.
    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. Hwang, Hark & Hahn, Kyu Hun, 2000. "An optimal procurement policy for items with an inventory level-dependent demand rate and fixed lifetime," European Journal of Operational Research, Elsevier, vol. 127(3), pages 537-545, December.
    2. Urban, Timothy L., 2005. "Inventory models with inventory-level-dependent demand: A comprehensive review and unifying theory," European Journal of Operational Research, Elsevier, vol. 162(3), pages 792-804, May.
    3. Yang, Chih-Te, 2014. "An inventory model with both stock-dependent demand rate and stock-dependent holding cost rate," International Journal of Production Economics, Elsevier, vol. 155(C), pages 214-221.
    4. Janssen, Larissa & Diabat, Ali & Sauer, Jürgen & Herrmann, Frank, 2018. "A stochastic micro-periodic age-based inventory replenishment policy for perishable goods," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 445-465.
    5. Xiuli Chao & Xiting Gong & Cong Shi & Chaolin Yang & Huanan Zhang & Sean X. Zhou, 2018. "Approximation Algorithms for Capacitated Perishable Inventory Systems with Positive Lead Times," Management Science, INFORMS, vol. 64(11), pages 5038-5061, November.
    6. Huanan Zhang & Cong Shi & Xiuli Chao, 2016. "Technical Note—Approximation Algorithms for Perishable Inventory Systems with Setup Costs," Operations Research, INFORMS, vol. 64(2), pages 432-440, April.
    7. Anantaram Balakrishnan & Michael S. Pangburn & Euthemia Stavrulaki, 2004. ""Stack Them High, Let 'em Fly": Lot-Sizing Policies When Inventories Stimulate Demand," Management Science, INFORMS, vol. 50(5), pages 630-644, May.
    8. Hailun Zhang & Jiheng Zhang & Rachel Q. Zhang, 2020. "Simple Policies with Provable Bounds for Managing Perishable Inventory," Production and Operations Management, Production and Operations Management Society, vol. 29(11), pages 2637-2650, November.
    9. Williams, Craig L. & Patuwo, B. Eddy, 1999. "A perishable inventory model with positive order lead times," European Journal of Operational Research, Elsevier, vol. 116(2), pages 352-373, July.
    10. Shouchang Chen & Yanzhi Li & Yi Yang & Weihua Zhou, 2021. "Managing Perishable Inventory Systems with Age‐differentiated Demand," Production and Operations Management, Production and Operations Management Society, vol. 30(10), pages 3784-3799, October.
    11. Chung, Kun-Jen & Chu, Peter & Lan, Shaw-Ping, 2000. "A note on EOQ models for deteriorating items under stock dependent selling rate," European Journal of Operational Research, Elsevier, vol. 124(3), pages 550-559, August.
    12. Xiuli Chao & Xiting Gong & Cong Shi & Huanan Zhang, 2015. "Approximation Algorithms for Perishable Inventory Systems," Operations Research, INFORMS, vol. 63(3), pages 585-601, June.
    13. Zhou, Yong-Wu & Min, Jie & Goyal, Suresh K., 2008. "Supply-chain coordination under an inventory-level-dependent demand rate," International Journal of Production Economics, Elsevier, vol. 113(2), pages 518-527, June.
    14. Li‐Ming Chen & Amar Sapra, 2013. "Joint inventory and pricing decisions for perishable products with two‐period lifetime," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(5), pages 343-366, August.
    15. Guchhait, Partha & Kumar Maiti, Manas & Maiti, Manoranjan, 2013. "Production-inventory models for a damageable item with variable demands and inventory costs in an imperfect production process," International Journal of Production Economics, Elsevier, vol. 144(1), pages 180-188.
    16. Li‐Ming Chen & Amar Sapra, 2021. "Inventory renewal for a perishable product: Economies of scale and age‐dependent demand," Naval Research Logistics (NRL), John Wiley & Sons, vol. 68(3), pages 359-377, April.
    17. Giri, B.C. & Chaudhuri, K.S., 1998. "Deterministic models of perishable inventory with stock-dependent demand rate and nonlinear holding cost," European Journal of Operational Research, Elsevier, vol. 105(3), pages 467-474, March.
    18. Madhukar Nagare & Pankaj Dutta & Pravin Suryawanshi, 2020. "Optimal procurement and discount pricing for single-period non-instantaneous deteriorating products with promotional efforts," Operational Research, Springer, vol. 20(1), pages 89-117, March.
    19. Chiu, Huan Neng, 1995. "An approximation to the continuous review inventory model with perishable items and lead times," European Journal of Operational Research, Elsevier, vol. 87(1), pages 93-108, November.
    20. Hahn, Kyu Hun & Hwang, Hark & Shinn, Seong Whan, 2004. "A returns policy for distribution channel coordination of perishable items," European Journal of Operational Research, Elsevier, vol. 152(3), pages 770-780, February.

    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:pal:jorsoc:v:54:y:2003:i:6:d:10.1057_palgrave.jors.2601482. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.palgrave-journals.com/ .

    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.