IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v49y2002i5p464-482.html
   My bibliography  Save this article

Optimal service rates of a service facility with perishable inventory items

Author

Listed:
  • O. Berman
  • K.P. Sapna

Abstract

In this paper we optimally control service rates for an inventory system of service facilities with perishable products. We consider a finite capacity system where arrivals are Poisson‐distributed, lifetime of items have exponential distribution, and replenishment is instantaneous. We determine the service rates to be employed at each instant of time so that the long‐run expected cost rate is minimized for fixed maximum inventory level and capacity. The problem is modelled as a semi‐Markov decision problem. We establish the existence of a stationary optimal policy and we solve it by employing linear programming. Several numerical examples which provide insight to the behavior of the system are presented. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 464–482, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10021

Suggested Citation

  • O. Berman & K.P. Sapna, 2002. "Optimal service rates of a service facility with perishable inventory items," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(5), pages 464-482, August.
  • Handle: RePEc:wly:navres:v:49:y:2002:i:5:p:464-482
    DOI: 10.1002/nav.10021
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.10021
    Download Restriction: no

    File URL: https://libkey.io/10.1002/nav.10021?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
    ---><---

    Citations

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


    Cited by:

    1. Dhanya Shajin & Jaison Jacob & A. Krishnamoorthy, 2022. "On a queueing inventory problem with necessary and optional inventories," Annals of Operations Research, Springer, vol. 315(2), pages 2089-2114, August.
    2. Dhanya Shajin & Achyutha Krishnamoorthy & Agassi Z. Melikov & Janos Sztrik, 2022. "Multi-Server Queuing Production Inventory System with Emergency Replenishment," Mathematics, MDPI, vol. 10(20), pages 1-24, October.
    3. Dhanya Shajin & A. Krishnamoorthy, 2021. "On a queueing-inventory system with impatient customers, advanced reservation, cancellation, overbooking and common life time," Operational Research, Springer, vol. 21(2), pages 1229-1253, June.
    4. Dhanya Shajin & A. Krishnamoorthy & A. N. Dudin & Varghese C. Joshua & Varghese Jacob, 2020. "On a queueing-inventory system with advanced reservation and cancellation for the next K time frames ahead: the case of overbooking," Queueing Systems: Theory and Applications, Springer, vol. 94(1), pages 3-37, February.
    5. A. Krishnamoorthy & Dhanya Shajin & B. Lakshmy, 2016. "GI/M/1 type queueing-inventory systems with postponed work, reservation, cancellation and common life time," Indian Journal of Pure and Applied Mathematics, Springer, vol. 47(2), pages 357-388, June.
    6. Hanukov, Gabi & Avinadav, Tal & Chernonog, Tatyana & Yechiali, Uri, 2019. "Performance improvement of a service system via stocking perishable preliminary services," European Journal of Operational Research, Elsevier, vol. 274(3), pages 1000-1011.
    7. A. Krishnamoorthy & R. Manikandan & B. Lakshmy, 2015. "A revisit to queueing-inventory system with positive service time," Annals of Operations Research, Springer, vol. 233(1), pages 221-236, October.
    8. Agassi Melikov & Ramil Mirzayev & Sajeev S. Nair, 2022. "Double Sources Queuing-Inventory System with Hybrid Replenishment Policy," Mathematics, MDPI, vol. 10(14), pages 1-16, July.
    9. Hanukov, Gabi & Avinadav, Tal & Chernonog, Tatyana & Yechiali, Uri, 2020. "A service system with perishable products where customers are either fastidious or strategic," International Journal of Production Economics, Elsevier, vol. 228(C).
    10. Dhanya Shajin & A. Krishnamoorthy & R. Manikandan, 2022. "On a queueing-inventory system with common life time and Markovian lead time process," Operational Research, Springer, vol. 22(1), pages 651-684, March.
    11. Mahmut Parlar & David Perry & Wolfgang Stadje, 2011. "FIFO Versus LIFO Issuing Policies for Stochastic Perishable Inventory Systems," Methodology and Computing in Applied Probability, Springer, vol. 13(2), pages 405-417, June.
    12. Hilal Al Hamadi & N. Sangeetha & B. Sivakumar, 2015. "Optimal control of service parameter for a perishable inventory system maintained at service facility with impatient customers," Annals of Operations Research, Springer, vol. 233(1), pages 3-23, October.
    13. Kangzhou Wang & Shouchang Chen & Zhibin Jiang & Weihua Zhou & Na Geng, 2021. "Capacity Allocation of an Integrated Production and Service System," Production and Operations Management, Production and Operations Management Society, vol. 30(8), pages 2765-2781, August.

    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:wly:navres:v:49:y:2002:i:5:p:464-482. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.