Skip to main content
Log in

Stochastic boundedness of cyclic queueing systems

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

Literature cited

  1. A. A. Borovkov,Stochastic Processes in Queueing Theory [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  2. R. M. Joynes, “The stability of a queue with non-independent inter-arrival and service time,”Amer. J. Stat.,58, No. 3, 497–520 (1962).

    Google Scholar 

  3. W. L. Smith, “Renewal theory and its ramifications,”J. Roy. Stat. Soc.,B. 20, No. 2, 95–150 (1961).

    Google Scholar 

  4. J. M. Harrison and A. J. Lemoine, “Limit theorems for periodic queues,”J. Appl. Prob.,14, 566–576 (1977).

    Google Scholar 

  5. Nam Su Chang, “On the limit distribution in a system of typeM(t)/G(t)/1,”Vest. MGU, Ser. 1, Matematika-Mekhanika, No. 2, 56–59 (1987).

    Google Scholar 

  6. L. G. Afanas'eva, “On the ergodicity of an open network,”Teor. Veroyatn. i Prim.,32, No. 4, 777–781 (1987).

    Google Scholar 

  7. A. A. Borovkov, “Limit theorems for queueing networks. I,”Teor. Veroyatn. i Prim.,31, No. 3, 474–490 (1986).

    Google Scholar 

Download references

Authors

Additional information

Translated from:Problemy Ustoichivosti Stokhasticheskikh Modelei, Trudy Seminara, 1989, pp. 3–9.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Afanas'eva, L.G. Stochastic boundedness of cyclic queueing systems. J Math Sci 59, 869–875 (1992). https://doi.org/10.1007/BF01099112

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01099112

Keywords

Navigation