Skip to main content
SpringerLink
Log in

A Priority System with Working Vacations of a Server

  • Published:
Moscow University Computational Mathematics and Cybernetics Aims and scope Submit manuscript

Abstract

A one-channel queuing system is studied for the recurrent input flow, relative priority, and working vacations of a server. The distribution functions of intervals between the arrivals of requests, service times for requests of each priority and durations of server working vacations are characterized by arbitrary absolutely continuous distributions. A joint distribution of the number of requests of each priority is obtained for a system in a non-stationary mode.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

REFERENCES

  1. H. Takagi, Queueing Analysis: A Foundation of Performance Evaluation, Vol. 1: Vacation and Priority Systems, Part 1 (Elsevier/North-Holland, Amsterdam, 1991).

  2. B. T. Doshi, ‘‘Queueing systems with vacations — A survey,’’ Queuing Syst. 1 (1), 29–66 (1986). https://doi.org/10.1007/BF01149327

    Article  MathSciNet  MATH  Google Scholar 

  3. E. S. Kondranin and V. G. Ushakov, ‘‘A head of the line priority queue with working vacations,’’ Inform. Primen. 12 (4), 33–38 (2018). https://doi.org/10.14357/19922264180405

    Article  Google Scholar 

  4. V. G. Ushakov, ‘‘Queueing system with working vacations and hyperexponential input stream,’’ Inform. Primen. 10 (2), 92–97 (2016). https://doi.org/10.14357/19922264160211

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Computational Mathematics and Cybernetics, Moscow State University, 119991, Moscow, Russia

    A. K. Bergovin

Authors
  1. A. K. Bergovin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. K. Bergovin.

Additional information

Translated by A. Shishulin

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bergovin, A.K. A Priority System with Working Vacations of a Server. MoscowUniv.Comput.Math.Cybern. 47, 12–18 (2023). https://doi.org/10.3103/S027864192301003X

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S027864192301003X

Keywords:

Search

Navigation