Abstract
We consider an operational queuing system of the type [SM¦M¦∞]N in the scheme of diffusion approximation. The queueing system is described by a semi-Markov random evolution.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V. S. Korolyuk and A. F. Turbin, Markov Renewal Processes in Problems of Reliability of Systems [in Russian], Naukova Dumka, Kiev (1982).
H. V. Mamonova, “Operational queueing system of the type [SM¦M¦∞]N in the scheme of averaging,” Tr. Inst. Prikl. Mat. Mekh. Nats. Akad. Nauk Ukr., No. 10, 135–144 (2005).
H. V. Mamonova, “Operational queueing system in the scheme of diffusion approximation,” Visn. Kyiv Univ., Ser. Fiz.-Mat. Nauky, No. 3, 333–337 (2005).
N. Kazamaki, Continuous Exponential Martingales and BMO, Springer, New York (1999).
V. S. Korolyuk and A. V. Swishchuk, Semi-Markov Random Evolutions, Kluwer, Dordrecht (1994).
M. N. Sviridenko, On Conditions for the Convergence of a Family of Semi-Markov Processes to a Markov Process [in Russian], Mytishchi (1986).
Author information
Authors and Affiliations
Additional information
__________
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 5, pp. 708–714, May, 2006.
Rights and permissions
About this article
Cite this article
Mamonova, H.V. Operational queueing system in the scheme of diffusion approximation with evolution averaging. Ukr Math J 58, 798–807 (2006). https://doi.org/10.1007/s11253-006-0103-8
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11253-006-0103-8