IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-00491696.html
   My bibliography  Save this paper

Two-period production planning and inventory control

Author

Listed:
  • Christian van Delft

    (GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique)

  • A. Cheaitou y

    (GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique)

Abstract

We study a single product two-period production/inventory model, in which the demands at each period are independent random variables. To optimally satisfy these random demands, quantities can be produced at the beginning of each period using slow or fast production mode, under capacity constraints. In addition to the usual decision variables for such models, we consider that a certain quantity can be salvaged at the beginning of each period. Such salvage processes are useful if the initial inventory of a period is considered to be too high. The unsatisfied demands for each period are backlogged to be satisfied during the next periods. After the end of the second period, a last quantity is produced in order to satisfy remaining orders and to avoid lost sales. The remaining inventory, if any, is salvaged. We formulate this model using a dynamic programming approach. We prove the concavity of the global objective function and we establish the closed-form expression of the second period optimal policy. Then, via a numerical solution approach, we solve the first period problem and exhibit the structure of the corresponding optimal policy. We provide insights, via numerical examples, that characterize the basic properties of our model and the effect of some significant parameters such as costs, demand variabilities or capacity constraints.

Suggested Citation

  • Christian van Delft & A. Cheaitou y, 2009. "Two-period production planning and inventory control," Post-Print hal-00491696, HAL.
  • Handle: RePEc:hal:journl:hal-00491696
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Cheaitou, Ali & Cheaytou, Rima, 2019. "A two-stage capacity reservation supply contract with risky supplier and forecast updating," International Journal of Production Economics, Elsevier, vol. 209(C), pages 42-60.
    2. Sakaguchi, Michinori, 2009. "Inventory model for an inventory system with time-varying demand rate," International Journal of Production Economics, Elsevier, vol. 122(1), pages 269-275, November.
    3. Cheaitou, Ali & van Delft, Christian & Jemai, Zied & Dallery, Yves, 2014. "Optimal policy structure characterization for a two-period dual-sourcing inventory control model with forecast updating," International Journal of Production Economics, Elsevier, vol. 157(C), pages 238-249.
    4. Xu, Qingyun & He, Yi & Shao, Zhen, 2023. "Retailer's ordering decisions with consumer panic buying under unexpected events," International Journal of Production Economics, Elsevier, vol. 266(C).
    5. Patil, Rahul & Avittathur, Balram & Shah, Janat, 2010. "Supply chain strategies based on recourse model for very short life cycle products," International Journal of Production Economics, Elsevier, vol. 128(1), pages 3-10, November.
    6. Yeu-Shiang Huang & Hau-Wen Lo & Jyh-Wen Ho, 2021. "Effects of component commonality and perishability on inventory control in assemble-to-order systems," Operational Research, Springer, vol. 21(1), pages 205-229, March.
    7. Wei Pan & Ying Guo & Lei Jin & ShuJie Liao, 2017. "Medical resource inventory model for emergency preparation with uncertain demand and stochastic occurrence time under considering different risk preferences at the airport," PLOS ONE, Public Library of Science, vol. 12(9), pages 1-16, September.
    8. Patra, T. Devi Prasad & Jha, J.K., 2021. "A two-period newsvendor model for prepositioning with a post-disaster replenishment using Bayesian demand update," Socio-Economic Planning Sciences, Elsevier, vol. 78(C).
    9. Luo, Kai & Bollapragada, Ramesh & Kerbache, Laoucine, 2017. "Inventory allocation models for a two-stage, two-product, capacitated supplier and retailer problem with random demand," International Journal of Production Economics, Elsevier, vol. 187(C), pages 168-181.

    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:hal:journl:hal-00491696. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.