IDEAS home Printed from https://ideas.repec.org/a/ids/ijores/v29y2017i1p1-33.html
   My bibliography  Save this article

Numerical investigation on MAP/PH(1), PH(2)/2 inventory system with multiple server vacations

Author

Listed:
  • C. Suganya
  • B. Sivakumar
  • G. Arivarignan

Abstract

In this paper, we consider an inventory system with two heterogeneous servers and multiple vacations. We have assumed that the customers arrive according to a Markovian arrival process and two parallel servers who provide heterogeneous phase type services to customers. The inventory is replenished according to an (s, S) policy and the replenishing time is assumed to follow exponential distribution. The vacation times of both severs are assumed to be independent and identically distributed exponential random variables. The joint probability distribution of the number of customers in the system, inventory level and server status is obtained in the steady state. Some important performance measures are obtained and the optimality of an expected total cost rate is shown through numerical illustration.

Suggested Citation

  • C. Suganya & B. Sivakumar & G. Arivarignan, 2017. "Numerical investigation on MAP/PH(1), PH(2)/2 inventory system with multiple server vacations," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 29(1), pages 1-33.
    • Handle: RePEc:ids:ijores:v:29:y:2017:i:1:p:1-33
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=83173
    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. Jeganathan, K. & Abdul Reiyas, M. & Prasanna Lakshmi, K. & Saravanan, S., 2019. "Two server Markovian inventory systems with server interruptions: Heterogeneous vs. homogeneous servers," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 177-200.

    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:ijores:v:29:y:2017:i:1:p:1-33. 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=170 .

    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.