IDEAS home Printed from https://ideas.repec.org/a/spr/opsear/v56y2019i3d10.1007_s12597-019-00376-1.html
   My bibliography  Save this article

Quasi-birth and death processes of two-server queues with stalling

Author

Listed:
  • R. Sivasamy

    (University of Botswana)

  • N. Thillaigovindan

    (Arba Minch University)

  • G. Paulraj

    (Annamalai University)

  • N. Paranjothi

    (Annamalai University)

Abstract

This paper investigates an optimal K-policy for a two-server Markovian queueing system $$M/(M_1,M_2)/2/(B_1,B_2),$$ M / ( M 1 , M 2 ) / 2 / ( B 1 , B 2 ) , with one fast server $$S_1$$ S 1 and one slow server $$S_2$$ S 2 , using the matrix analytic method. Two buffers $$B_1$$ B 1 and $$B_2$$ B 2 are organized to form waiting lines of customers in which, buffer $$B_1$$ B 1 is of finite size $$K(

Suggested Citation

  • R. Sivasamy & N. Thillaigovindan & G. Paulraj & N. Paranjothi, 2019. "Quasi-birth and death processes of two-server queues with stalling," OPSEARCH, Springer;Operational Research Society of India, vol. 56(3), pages 739-756, September.
    • Handle: RePEc:spr:opsear:v:56:y:2019:i:3:d:10.1007_s12597-019-00376-1
    DOI: 10.1007/s12597-019-00376-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12597-019-00376-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s12597-019-00376-1?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. B. Krishnamoorthi, 1963. "On Poisson Queue with Two Heterogeneous Servers," Operations Research, INFORMS, vol. 11(3), pages 321-330, June.
    2. Zhang, Xuelu & Wang, Jinting & Do, Tien Van, 2015. "Threshold properties of the M/M/1 queue under T-policy with applications," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 284-301.
    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. Martin J. Fischer & Carl M. Harris, 1991. "Heterogeneous multitrunking queueing systems with thresholds," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(4), pages 579-597, August.
    2. Li, Na & Stanford, David A., 2016. "Multi-server accumulating priority queues with heterogeneous servers," European Journal of Operational Research, Elsevier, vol. 252(3), pages 866-878.
    3. Tang Tang & Lijuan Jia & Jin Hu & Yue Wang & Cheng Ma, 2022. "Reliability analysis and selective maintenance for multistate queueing system," Journal of Risk and Reliability, , vol. 236(1), pages 3-17, February.
    4. Ragavendran Gopalakrishnan & Sherwin Doroudi & Amy R. Ward & Adam Wierman, 2016. "Routing and Staffing When Servers Are Strategic," Operations Research, INFORMS, vol. 64(4), pages 1033-1050, August.

    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:spr:opsear:v:56:y:2019:i:3:d:10.1007_s12597-019-00376-1. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.