Skip to main content

The Synthesis of Service Discipline in Systems with Limits

Part of the Communications in Computer and Information Science book series (CCIS,volume 601)


The problem of service discipline synthesis in queuing systems with constraints on the mean residence time of different classes of requests, or chances of exceeding the limits. Problem is solved for the class of disciplines with mixed priorities between requests of different classes - relative, absolute, or no priorities. An algorithm for prioritization, ensuring the implementation of the limitations specified for the minimal system performance is proposed. The problem is solved using analytical dependences obtained for the first two moments of the residence time distribution, and the approximation of the principles of distributions on two moments.


  • Service discipline
  • Mixed priorities
  • Delay time
  • Limits
  • Device performance

This is a preview of subscription content, access via your institution.


  1. Aliev, T.I., Maharevs, E.: Queueing disciplines based on priority matrix. Sci. Tech. J. Inf. Technol. Mech. Opt. 6(94), 91–97 (2014)

    Google Scholar 

  2. Aliev, T.I.: Approximation of probability distributions in queuing systems. Sci. Tech. J. Inf. Technol. Mech. Opt. 2(84), 88–93 (2013)

    Google Scholar 

Download references

Author information

Authors and Affiliations


Corresponding author

Correspondence to Taufik Aliev .

Editor information

Editors and Affiliations

Rights and permissions

Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 2.5 International License (, which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

The images or other third party material in this chapter are included in the chapter's Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the chapter's Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.

Reprints and Permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Aliev, T. (2016). The Synthesis of Service Discipline in Systems with Limits. In: Vishnevsky, V., Kozyrev, D. (eds) Distributed Computer and Communication Networks. DCCN 2015. Communications in Computer and Information Science, vol 601. Springer, Cham.

Download citation

  • DOI:

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30842-5

  • Online ISBN: 978-3-319-30843-2

  • eBook Packages: Computer ScienceComputer Science (R0)