IDEAS home Printed from https://ideas.repec.org/a/bpj/ecqcon/v26y2011i2p201-213n11.html
   My bibliography  Save this article

Optimal Control of a Two-Item Inventory System with Different Types of Item Deterioration

Author

Listed:
  • Alshamrani Ahmad

    (Department of Statistics and OR, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia.)

  • El-Gohary Awad

    (Department of Mathematics, College of Science, Mansoura University, Mansoura 35516, Egypt.)

Abstract

The present paper provides a new approach to study the problem of optimal control of a two-item inventory system with different types of deterioration. The total cost, which includes the sum of the holding costs of inventory levels, the holding costs of one item due to the presence of the other and the production costs, is minimized. The optimal solution is obtained based on Pontryagin's principle. The system is modeled by a system of non-linear differential equations and its solution is discussed numerically. It is also used for illustrating the system performance as function of the monetary and non-monetary input parameters.

Suggested Citation

  • Alshamrani Ahmad & El-Gohary Awad, 2011. "Optimal Control of a Two-Item Inventory System with Different Types of Item Deterioration," Stochastics and Quality Control, De Gruyter, vol. 26(2), pages 201-213, January.
    • Handle: RePEc:bpj:ecqcon:v:26:y:2011:i:2:p:201-213:n:11
    DOI: 10.1515/EQC.2011.019
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/EQC.2011.019
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.1515/EQC.2011.019?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. Bhattacharya, D. K., 2005. "On multi-item inventory," European Journal of Operational Research, Elsevier, vol. 162(3), pages 786-791, May.
    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. Shi, Ye & Yu, Yugang & Dong, Yuxuan, 2021. "Warehousing platform’s revenue management: A dynamic model of coordinating space allocation for self-use and rent," European Journal of Operational Research, Elsevier, vol. 293(1), pages 167-176.
    2. Pinky Saxena & S. R. Singh & Isha Sangal, 2016. "A Multi Item Integrated Inventory Model with Reparability and Manufacturing of Fresh Products," Modern Applied Science, Canadian Center of Science and Education, vol. 10(7), pages 1-74, July.
    3. Bakker, Monique & Riezebos, Jan & Teunter, Ruud H., 2012. "Review of inventory systems with deterioration since 2001," European Journal of Operational Research, Elsevier, vol. 221(2), pages 275-284.
    4. Monalisha Pattnaik & Padmabati Gahan, 2021. "Preservation effort effects on retailers and manufacturers in integrated multi-deteriorating item discrete supply chain model," OPSEARCH, Springer;Operational Research Society of India, vol. 58(2), pages 276-329, June.
    5. Pal, Brojeswar & Sana, Shib Sankar & Chaudhuri, Kripasindhu, 2012. "Multi-item EOQ model while demand is sales price and price break sensitive," Economic Modelling, Elsevier, vol. 29(6), pages 2283-2288.
    6. Wang, Tai-Yue & Hu, Jui-Ming, 2008. "An inventory control system for products with optional components under service level and budget constraints," European Journal of Operational Research, Elsevier, vol. 189(1), pages 41-58, August.
    7. Bozorgi, Ali, 2016. "Multi-product inventory model for cold items with cost and emission consideration," International Journal of Production Economics, Elsevier, vol. 176(C), pages 123-142.
    8. Pal, Brojeswar & Sana, Shib Sankar & Chaudhuri, Kripasindhu, 2012. "A three layer multi-item production–inventory model for multiple suppliers and retailers," Economic Modelling, Elsevier, vol. 29(6), pages 2704-2710.

    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:bpj:ecqcon:v:26:y:2011:i:2:p:201-213:n:11. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.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.