Skip to main content
Log in

Waiting time with critical load for priority systems with semi-Markov service

  • Published:
Ukrainian Mathematical Journal Aims and scope

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. Yu. V. Prokhorov, “Transition probabilities in queueing processes,” Lit. Mat. Sb.,3, No. 1, 199–206 (1963).

    Google Scholar 

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

    Google Scholar 

  3. B. V. Gnedenko, E. A. Dannelin, B. N. Dimitrov, et al., Priority Queueing Systems [in Russian], Moscow State Univ. (1973).

  4. B. V. Gnedenko and I. N. Kovalenko, Introduction to Queueing Theory [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  5. M. F. Chernaya, “Analysis of engagement period of system with semi-Markov service,” in: Analytic Methods in Probability Theory [in Russian], Naukova Dumka, Kiev (1979).

    Google Scholar 

  6. V. S. Korolyuk and A. F. Turbin, Semi-Markov Processes and Applications [in Russian], Naukova Dumka, Kiev (1976).

    Google Scholar 

  7. S. V. Belousova and V. K. Korolyuk, “Functionals in engagement period of system M¦G¦1¦∞,” in: Application of Analytic Methods in Probability Theory [in Russian], Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1983), pp. 4–11.

    Google Scholar 

  8. S. V. Belousova and V. S. Korolyuk, “Queue length at critical load in system with semi-Markov service,” in: Limit Theorems in Scheme of Asymptotic Phase Consolidation [in Russian], Kiev (1984), pp. 16–20. (Preprint Akad. Nauk Ukr. SSR, Inst. Mat.: 84.16.)

  9. E. Cinlar, “Time dependence of queues with semi-Markov services,” J. Appl. Probab.,4, No. 2, 356–364 (1967).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 37, No. 4, pp. 411–417, July–August, 1985.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Belousova, S.V. Waiting time with critical load for priority systems with semi-Markov service. Ukr Math J 37, 323–328 (1985). https://doi.org/10.1007/BF01055942

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01055942

Keywords

Navigation