IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v141y2006i1p193-21010.1007-s10479-006-5299-3.html
   My bibliography  Save this article

Optimal multi-threshold control by the BMAP/SM/1 retrial system

Author

Listed:
  • Che Kim
  • Valentina Klimenok
  • Alexander Birukov
  • Alexander Dudin

Abstract

A single server retrial system having several operation modes is considered. The modes are distinguished by the transition rate of the batch Markovian arrival process (BMAP), kernel of the semi-Markovian (SM) service process and the intensity of retrials. Stationary state distribution is calculated under the fixed value of the multi-threshold control strategy. Dependence of the cost criterion, which includes holding and operation cost, on the thresholds is derived. Numerical results illustrating the work of the computer procedure for calculation of the optimal values of thresholds are presented. Copyright Springer Science + Business Media, Inc. 2006

Suggested Citation

  • Che Kim & Valentina Klimenok & Alexander Birukov & Alexander Dudin, 2006. "Optimal multi-threshold control by the BMAP/SM/1 retrial system," Annals of Operations Research, Springer, vol. 141(1), pages 193-210, January.
    • Handle: RePEc:spr:annopr:v:141:y:2006:i:1:p:193-210:10.1007/s10479-006-5299-3
    DOI: 10.1007/s10479-006-5299-3
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-006-5299-3
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10479-006-5299-3?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. Alexander Dudin & Srinivas Chakravarthy, 2002. "Optimal Hysteretic Control for the BMAP/G/ 1 System with Single and Group Service Modes," Annals of Operations Research, Springer, vol. 112(1), pages 153-169, April.
    2. Choi, B. D. & Chung, Y. H. & Dudin, Alexander N., 2001. "The BMAP/SM/1 retrial queue with controllable operation modes," European Journal of Operational Research, Elsevier, vol. 131(1), pages 16-30, May.
    3. Alexander N. Dudin & Valentina I. Klimenok, 1999. "Multi-dimensional quasitoeplitz Markov chains," International Journal of Stochastic Analysis, Hindawi, vol. 12, pages 1-23, January.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Velika I. Dragieva, 2016. "Steady state analysis of the M/G/1//N queue with orbit of blocked customers," Annals of Operations Research, Springer, vol. 247(1), pages 121-140, December.
    2. Samira Taleb & Amar Aissani, 2016. "Preventive maintenance in an unreliable M/G/1 retrial queue with persistent and impatient customers," Annals of Operations Research, Springer, vol. 247(1), pages 291-317, December.

    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. Faruk Akın & E. Lerzan Örmeci, 2022. "Optimal control of a loss system with feedback," Queueing Systems: Theory and Applications, Springer, vol. 100(3), pages 381-383, April.
    2. Dudin, A. N. & Krishnamoorthy, A. & Joshua, V. C. & Tsarenkov, G. V., 2004. "Analysis of the BMAP/G/1 retrial system with search of customers from the orbit," European Journal of Operational Research, Elsevier, vol. 157(1), pages 169-179, August.
    3. Jewgeni H. Dshalalow & Ahmed Merie & Ryan T. White, 2020. "Fluctuation Analysis in Parallel Queues with Hysteretic Control," Methodology and Computing in Applied Probability, Springer, vol. 22(1), pages 295-327, March.
    4. K. Sikdar & S. K. Samanta, 2016. "Analysis of a finite buffer variable batch service queue with batch Markovian arrival process and server’s vacation," OPSEARCH, Springer;Operational Research Society of India, vol. 53(3), pages 553-583, September.

    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:annopr:v:141:y:2006:i:1:p:193-210:10.1007/s10479-006-5299-3. 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.