IDEAS home Printed from https://ideas.repec.org/a/ids/ijmore/v7y2015i3p281-296.html
   My bibliography  Save this article

A partial backlogging inventory model for deteriorating items with time-varying demand and holding cost

Author

Listed:
  • Debashis Dutta
  • Pavan Kumar

Abstract

In this paper, we propose a partial backlogging inventory model for deteriorating items with time-varying demand and holding cost. Deterioration rate is assumed to be constant. The demand rate varies with time until the shortage occurs; during shortages, demand rate becomes constant. Shortages are allowed and assumed to be partially backlogged. The backlogging rate is variable and is inversely proportional to the length of the waiting time for next replenishment. Taylor series is used for exponential terms approximating up to second degree terms. We solve the proposed model to obtain the optimal value of order quantity and total cost. The purpose of this paper is to minimise the total cost of inventory with optimal order quantity. The convexity of the cost function is shown graphically. Two numerical examples are given in order to show the applicability of the proposed model. Sensitivity analysis is also carried out to identify the most sensitive parameters in the system.

Suggested Citation

  • Debashis Dutta & Pavan Kumar, 2015. "A partial backlogging inventory model for deteriorating items with time-varying demand and holding cost," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 7(3), pages 281-296.
    • Handle: RePEc:ids:ijmore:v:7:y:2015:i:3:p:281-296
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=69144
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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. 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.
    3. Md Sadikur Rahman & Subhajit Das & Amalesh Kumar Manna & Ali Akbar Shaikh & Asoke Kumar Bhunia & Leopoldo Eduardo Cárdenas-Barrón & Gerardo Treviño-Garza & Armando Céspedes-Mota, 2021. "A Mathematical Model of the Production Inventory Problem for Mixing Liquid Considering Preservation Facility," Mathematics, MDPI, vol. 9(24), pages 1-19, December.
    4. Aijun Liu & Yaxuan Xiao & Xiaohui Ji & Kai Wang & Sang-Bing Tsai & Hui Lu & Jinshi Cheng & Xinjun Lai & Jiangtao Wang, 2018. "A Novel Two-Stage Integrated Model for Supplier Selection of Green Fresh Product," Sustainability, MDPI, vol. 10(7), pages 1-23, July.
    5. Md. Abdul Hakim & Ibrahim M. Hezam & Adel Fahad Alrasheedi & Jeonghwan Gwak, 2022. "Pricing Policy in an Inventory Model with Green Level Dependent Demand for a Deteriorating Item," Sustainability, MDPI, vol. 14(8), pages 1-16, April.
    6. Neeraj Kumar & Sanjey Kumar, 2017. "An inventory model for deteriorating items with partial backlogging using linear demand in fuzzy environment," Cogent Business & Management, Taylor & Francis Journals, vol. 4(1), pages 1307687-130, January.

    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:ids:ijmore:v:7:y:2015:i:3:p:281-296. 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: Sarah Parker (email available below). General contact details of provider: http://www.inderscience.com/browse/index.php?journalID=320 .

    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.