IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v230y2013i2p284-289.html
   My bibliography  Save this article

Inventory model of deteriorating items on non-periodic discrete-time domains

Author

Listed:
  • Atıcı, Ferhan M.
  • Lebedinsky, Alex
  • Uysal, Fahriye

Abstract

In this paper, we demonstrate how to model a discrete-time dynamic process on a non-periodic time domain with applications to operations research. We introduce a discrete-time model of inventory with deterioration on domains where time points may be unevenly spaced over a time interval. We formalize the average cost function composed of storage, depreciation and back-ordering costs. The optimal condition is given to locate the optimal point that minimizes the average cost function. Finally, we present simulations to demonstrate how a manager can use this model to make inventory decisions.

Suggested Citation

  • Atıcı, Ferhan M. & Lebedinsky, Alex & Uysal, Fahriye, 2013. "Inventory model of deteriorating items on non-periodic discrete-time domains," European Journal of Operational Research, Elsevier, vol. 230(2), pages 284-289.
    • Handle: RePEc:eee:ejores:v:230:y:2013:i:2:p:284-289
    DOI: 10.1016/j.ejor.2013.04.043
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221713003573
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2013.04.043?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. Goyal, S. K. & Giri, B. C., 2003. "The production-inventory problem of a product with time varying demand, production and deterioration rates," European Journal of Operational Research, Elsevier, vol. 147(3), pages 549-557, June.
    2. Balkhi, Zaid T. & Benkherouf, Lakdere, 1996. "A production lot size inventory model for deteriorating items and arbitrary production and demand rates," European Journal of Operational Research, Elsevier, vol. 92(2), pages 302-309, July.
    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. Janssen, Larissa & Claus, Thorsten & Sauer, Jürgen, 2016. "Literature review of deteriorating inventory models by key topics from 2012 to 2015," International Journal of Production Economics, Elsevier, vol. 182(C), pages 86-112.
    2. Wang, Wan-Chih & Teng, Jinn-Tsair & Lou, Kuo-Ren, 2014. "Seller’s optimal credit period and cycle time in a supply chain for deteriorating items with maximum lifetime," European Journal of Operational Research, Elsevier, vol. 232(2), pages 315-321.

    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. Pahl, Julia & Voß, Stefan, 2014. "Integrating deterioration and lifetime constraints in production and supply chain planning: A survey," European Journal of Operational Research, Elsevier, vol. 238(3), pages 654-674.
    2. Teng, Jinn-Tsair & Ouyang, Liang-Yuh & Chen, Liang-Ho, 2007. "A comparison between two pricing and lot-sizing models with partial backlogging and deteriorated items," International Journal of Production Economics, Elsevier, vol. 105(1), pages 190-203, January.
    3. Chan, Chi Kin & Wong, Wai Him & Langevin, A. & Lee, Y.C.E., 2017. "An integrated production-inventory model for deteriorating items with consideration of optimal production rate and deterioration during delivery," International Journal of Production Economics, Elsevier, vol. 189(C), pages 1-13.
    4. Wang, Wan-Chih & Teng, Jinn-Tsair & Lou, Kuo-Ren, 2014. "Seller’s optimal credit period and cycle time in a supply chain for deteriorating items with maximum lifetime," European Journal of Operational Research, Elsevier, vol. 232(2), pages 315-321.
    5. Ali Salmasnia & Ali Talesh-Kazemi, 2022. "Integrating inventory planning, pricing and maintenance for perishable products in a two-component parallel manufacturing system with common cause failures," Operational Research, Springer, vol. 22(2), pages 1235-1265, April.
    6. L. San-José & J. García-Laguna & J. Sicilia, 2009. "An economic order quantity model with partial backlogging under general backorder cost function," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(2), pages 366-384, December.
    7. Liao, Jui-Jung, 2008. "An EOQ model with noninstantaneous receipt and exponentially deteriorating items under two-level trade credit," International Journal of Production Economics, Elsevier, vol. 113(2), pages 852-861, June.
    8. Lin, Gary C. & Kroll, Dennis E. & Lin, C.J., 2006. "Determining a common production cycle time for an economic lot scheduling problem with deteriorating items," European Journal of Operational Research, Elsevier, vol. 173(2), pages 669-682, September.
    9. Lo, Sh-Tyan & Wee, Hui-Ming & Huang, Wen-Chang, 2007. "An integrated production-inventory model with imperfect production processes and Weibull distribution deterioration under inflation," International Journal of Production Economics, Elsevier, vol. 106(1), pages 248-260, March.
    10. Ali Salmasnia & Ali Talesh-Kazemi & Mohammad Reza Maleki, 2022. "Joint optimization of inventory planning, maintenance policy and pricing for perishable complementary products by considering the product freshness and technology level," Economia e Politica Industriale: Journal of Industrial and Business Economics, Springer;Associazione Amici di Economia e Politica Industriale, vol. 49(4), pages 713-746, December.
    11. San José, L.A. & Sicilia, J. & Garcia-Laguna, J., 2006. "Analysis of an inventory system with exponential partial backordering," International Journal of Production Economics, Elsevier, vol. 100(1), pages 76-86, March.
    12. R. Sundara rajan & R. Uthayakumar, 2017. "Comprehensive solution procedure for optimizing replenishment policies of instantaneous deteriorating items with stock-dependent demand under partial trade credit linked to order quantity," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 1343-1373, November.
    13. Massonnet, G. & Gayon, J.-P. & Rapine, C., 2014. "Approximation algorithms for deterministic continuous-review inventory lot-sizing problems with time-varying demand," European Journal of Operational Research, Elsevier, vol. 234(3), pages 641-649.
    14. Zeinab Sazvar & Mohammad Reza Akbari Jokar & Armand Baboli, 2014. "A new order splitting model with stochastic lead times for deterioration items," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(9), pages 1936-1954, September.
    15. Wu, Kan & Yuan, Xue-Ming, 2016. "Optimal production-inventory policy for an integrated multi-stage supply chain with time-varying demandAuthor-Name: Zhao, Shi Tao," European Journal of Operational Research, Elsevier, vol. 255(2), pages 364-379.
    16. Asif Iqbal Malik & Byung Soo Kim, 2020. "A Constrained Production System Involving Production Flexibility and Carbon Emissions," Mathematics, MDPI, vol. 8(2), pages 1-21, February.
    17. Pentico, David W. & Drake, Matthew J., 2011. "A survey of deterministic models for the EOQ and EPQ with partial backordering," European Journal of Operational Research, Elsevier, vol. 214(2), pages 179-198, October.
    18. Manish Shukla & Sanjay Jharkharia, 2014. "An inventory model for continuously deteriorating agri-fresh produce: an artificial immune system-based solution approach," International Journal of Integrated Supply Management, Inderscience Enterprises Ltd, vol. 9(1/2), pages 110-135.
    19. Rau, H. & OuYang, B.C., 2008. "An optimal batch size for integrated production-inventory policy in a supply chain," European Journal of Operational Research, Elsevier, vol. 185(2), pages 619-634, March.
    20. Pentico, David W. & Drake, Matthew J. & Toews, Carl, 2009. "The deterministic EPQ with partial backordering: A new approach," Omega, Elsevier, vol. 37(3), pages 624-636, June.

    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:ejores:v:230:y:2013:i:2:p:284-289. 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/eor .

    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.