Skip to main content
Log in

Analytical method for determining the characteristics of stochastic networks with different classes of messages

  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

A method is described for finding analytically the normalizing constants (and hence also other performance characteristics) of stochastic networks with different classes of messages.

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.

Similar content being viewed by others

Literature Cited

  1. A. I. Gerasimov, “Analysis of distributed real-time computing systems,” Izv. Vyssh. Uchebn. Zaved. Priborostr.,22, No. 12, 29–34 (1989).

    Google Scholar 

  2. A. I. Gerasimov, “Computing the throughput of the Sirena MIS,” Prib. Sist. Uprav., No. 6, 2–4 (1982).

    Google Scholar 

  3. J. P. Buzen, “Computational algorithms for closed queueuing networks with exponential servers,” Comm. ACM,16, No. 9, 527–531 (1973).

    Google Scholar 

  4. S. C. Bruell and G. Balbo, “Computational algorithms for closed queueing networks,” Oper. Program. Syst., No. 7, 190–197 (1982).

    Google Scholar 

  5. A. I. Gerasimov, “Analysis of queueing networks by polynomial approximation,” Probl. Contr. Inform. Theory,12, No. 3, 219–228 (1983).

    Google Scholar 

  6. A. I. Gerasimov, “The POLAP package for computation of stochastic networks by polynomial approximation,” Algoritmy Programmy, Moscow, No. 4(55), 33 (1983) (Inform. Byull. Gos. Fonda Algoritmov i Programm SSSR, VNTITsentr No. POO6246).

    Google Scholar 

  7. A. I. Gerasimov, “Approximate method of analysis of closed, open, and mixed stochastic systems,” in: Deterministic and Stochastic Control Systems [in Russian], Nauka, Moscow (1984), pp. 6–18.

    Google Scholar 

  8. F. R. Moore, “Computational model of a closed queueing network with exponential servers,” IBM J. Res. Develop.,16, 567–572 (1972).

    Google Scholar 

  9. P. G. Harrison, “A note on cycle times in tree-like queueing networks,” Adv. Appl. Probab.,16, No. 1, 216–219 (1984).

    Google Scholar 

  10. P. G. Harrison, “On normalizing constants in queueing networks” Oper. Res.,33, No. 2, 464–468 (1985).

    Google Scholar 

  11. J. A. Aseltine, Transform Methods in Linear System Analysis, McGraw-Hill, New York (1958).

    Google Scholar 

  12. H. A. Helm, “The z-transformation,” Bell Syst. Techn. J.,38, No. 1, 178–196 (1959).

    Google Scholar 

Download references

Authors

Additional information

Translated from Kibernetika, No. 3, pp. 98–102, May–June, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gerasimov, A.I. Analytical method for determining the characteristics of stochastic networks with different classes of messages. Cybern Syst Anal 27, 442–449 (1991). https://doi.org/10.1007/BF01068325

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01068325

Keywords

Navigation