Skip to main content
SpringerLink
Log in

Queueing Systems with Common Buffer: A Theoretical Treatment

  • Conference paper
Computer Networks (CN 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 160))

Included in the following conference series:

Abstract

We investigate queueing systems of different types with demands having some random space requirements connected via common limited buffer space. For such systems combination we determine steady-state loss probability and distribution of number of demands present in each system from the combination.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Tikhonenko, O.M.: Queueing Models in Computer Systems. Universitetskoe, Minsk (1990) (in Russian)

    MATH  Google Scholar 

  2. Tikhonenko, O.: Computer Systems Probability Analysis. Akademicka Oficyna Wydawnicza EXIT, Warsaw (2006) (in Polish)

    Google Scholar 

  3. Alexandrov, A.M., Katz, B.A.: Non-Homogeneous Demands Flows Service. Izvestiya AN SSSR. Tekhnicheskaya Kibernetika (2), 47–53 (1973) (in Russian)

    Google Scholar 

  4. Tikhonenko, O.M.: Destricted Capacity Queueing Systems: Determination of their Characteristics. Autom. Remote Control 58(6), 969–972 (1997)

    MathSciNet  MATH  Google Scholar 

  5. Tikhonenko, O.M., Klimovich, K.G.: Queuing Systems for Random-Length Arrivals with Limited Cumulative Volume. Problems of Information Transmission 37(1), 70–79 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  6. Tikhonenko, O.M.: Generalized Erlang Problem for Service Systems with Finite Total Capacity. Problems of Information Transmission 41(3), 243–253 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  7. Tikhonenko, O.M.: Queuing Systems with Processor Sharing and Limited Resources. Autom. Remote Control 71(5), 803–815 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  8. Tikhonenko, O.: General Approach to Determination of Total Capacity for Queueing Systems with Non-Homogeneous Customers. In: Probability Theory, Mathematical Statistics and their Applications. The Collection of Scientific Papers (Proceedings of the International Conference in honor of 75 years Jubilee of Professor Gennady Medvedev. Minsk) RIVS, Minsk, pp. 338–343 (February 22–25, 2010)

    Google Scholar 

  9. Gaver, D.P.: Observing Stochastic Processes, and Approximate Transform Inversion. Operation Research 14(3), 444–459 (1966)

    Article  MathSciNet  Google Scholar 

  10. Stehfest, H.: Algorithm 368: Numeric Inversion of Laplace Transform. Communications of ACM 13(1), 47–49 (1970)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Baltycka 5, 44–100, Gliwice, Poland

    Oleg Tikhonenko

Authors
  1. Oleg Tikhonenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Informatics, Silesian University of Technology, Gliwice, Poland

    Andrzej Kwiecień , Piotr Gaj  & Piotr Stera ,  & 

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Tikhonenko, O. (2011). Queueing Systems with Common Buffer: A Theoretical Treatment. In: Kwiecień, A., Gaj, P., Stera, P. (eds) Computer Networks. CN 2011. Communications in Computer and Information Science, vol 160. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21771-5_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-21771-5_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21770-8

  • Online ISBN: 978-3-642-21771-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation