Skip to main content
SpringerLink
Log in

Analysis of Queuing Systems for Random-Length Arrivals with Limited Cumulative Volume

  • Published:
Problems of Information Transmission Aims and scope Submit manuscript

Abstract

Two queuing systems for variable-length customers, namely, a processor-sharing system and a multiline system without waiting places, are considered, for which arrivals are completely random, the joint arrival-length and service-time distribution is arbitrary, and the cumulative arrival volume is limited. For these systems, the stationary state probabilities and the arrival loss probability are determined.

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

Similar content being viewed by others

REFERENCES

  1. Tikhonenko, O.M., Modeli massovogo obsluzhivaniya v sistemakh obrabotki informatsii (Queuing Models in Information Processing Systems), Minsk: Universitetskoe, 1990.

    Google Scholar 

  2. Yashkov, S.F., Analiz ocheredei v EVM (Analysis of Computer Queues), Moscow: Radio i Svyaz', 1989.

    Google Scholar 

  3. Tikhonenko, O.M., Determination of Characteristics of Queuing Systems with Limited Memory, Avtomat. Telemekh., 1997, no. 6, pp. 105-110.

  4. Sengupta, B., The Spatial Requirement of an M/G/1 Queue; or: How to Design for Buffer Space, in Modeling and Performance Evaluation Methodology, Baccelli, F. and Fayolle, G., Eds., New York: Springer, 1984, pp. 547-564.

    Google Scholar 

  5. Riordan, J., Stochastic Service Systems, New York: Wiley, 1962. Translated under the title Veroyatnostnye sistemy obsluzhivaniya, Moscow: Svyaz', 1966.

    Google Scholar 

Download references

Authors
  1. O. M. Tikhonenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. G. Klimovich
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tikhonenko, O.M., Klimovich, K.G. Analysis of Queuing Systems for Random-Length Arrivals with Limited Cumulative Volume. Problems of Information Transmission 37, 70–79 (2001). https://doi.org/10.1023/A:1010451827648

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1010451827648

Keywords

Search

Navigation