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Optimal Control for an Mx/G/1 Queue with Two Operation Modes

Published online by Cambridge University Press:  27 July 2009

Alexander Dudin
Alexander Dudin
Affiliation:
Department of Applied Probability Analysis, Faculty of Applied Mathematics and Computer Sciences, Belarus State University, 4, F.Skorina Ave., Minsk-50, 220050, Belarus
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Abstract

The controlled Mx/G/1-type queueing model with two modes of operation is considered. The modes are characterized by different service time distributions and input rates. The switchover times are imposed in the model. The embedded stationary queue-length distribution and the explicit dependence of operation criteria on switchover levels are derived.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 11 , Issue 2 , April 1997 , pp. 255 - 265
Copyright
Copyright © Cambridge University Press 1997

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References

1.Dudin, A. (1981). Optimal assignment of the rate for service of customers in a multilinear tworate service system. Automation and Remote Control 11: 74–82.Google Scholar
2.Dudin, A. (1991). About controlled M/Ġ/1 type queues with unreliable server and the loss of time at switchings. Communication and Computer Networks as Queueing Models (Abstracts of the Seventh Belarus Winter Workshop in Queueing Theory), Minsk, pp. 59–61 (in Russian).Google Scholar
3.Dudin, A. (1991). Queueing systems with varying modes of operation and its optimization. Minsk-Tomsk (in Russian).Google Scholar
4.Kolmogorov, A. (1936). Basic notions of the probability theory(in Russian). Moscow: ONTI Publishers.Google Scholar
5.Nishimura, S. & Jiang, Y. (1995). An M/G/1 vacation model with two service modes. Probability in the Engineering and Informational Sciences 9: 355–374.CrossRefGoogle Scholar
6.Tijms, H. & Nobel, R. (to appear). Optimal control for a Mx/G/1 queue with two service modes. Journal of the Operations Research Society of Japan.Google Scholar
7.Press, W., Flannery, B., Teukolsky, S., & Vetterling, W. (1986). Numerical recipes. Cambridge: Cambridge University Press.Google Scholar
8.Skorokhod, A. (1980). Probability theory and random processes. Kiev: High School (in Russian).Google Scholar