Abstract
Retrial queues with variable arrival rate are considered. For such queues, the condition of the existence of stationary mode is found. The approximation approach is used to calculate the stationary probabilities. The proposed scheme was applied to solve an optimization problem in the class of threshold strategies.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
I. N. Kovalenko and E. V. Koba, “On the classification of retrial queuing systems,” Cybern. Syst. Analysis, 46, No. 3, 420–425 (2010).
G. I. Falin and J. G. C. Templeton, Retrial Queues, Chapman and Hall, London (1997).
J. R. Artalejo and A. Gomez-Corral, Retrial Queueing Systems, Springer, Berlin (2008).
J. R. Artalejo and G. I. Falin, “Standard and retrial queueing systems: A comparative analysis,” Revista Matematica Complutense, 15, 101–129 (2002).
V. V. Anisimov and J.R. Artalejo, “Analysis of Markov multiserver retrial queues with negative arrivals,” Queuing Systems, 39, 157–182 (2001).
J. Walrand, An Introduction to Queuing Networks, Prentice Hall, Englewood Cliffs (1988).
V. I. Klimenok, “Optimization of the dynamic control of the operation of retrial information computer systems,” Avtom. Vychisl. Tekhnika, No. 1, 25–30 (1990).
A. N. Dudin and V. I. Klimenok, “Optimization of the dynamic control of the input load at a node of an information computer network,” Avtom. Vychisl. Tekhnika, No. 2, 25–31 (1991).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Kibernetika i Sistemnyi Analiz, No. 3, May–June, 2013, pp. 151–159.
Rights and permissions
About this article
Cite this article
Usar, I.Y., Lebedev, E.A. Retrial queuing systems with variable arrival rate. Cybern Syst Anal 49, 457–464 (2013). https://doi.org/10.1007/s10559-013-9529-9
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10559-013-9529-9