Queuing system without queue and deterministic service time
https://doi.org/10.21683/1729-2646-2023-23-2-64-67
Abstract
Today, queueing systems that describe failures in the process of software testing are subject to extensive research. Such systems involve a dependence between the rate of an input Poisson stream and the rate of exponentially distributed handling time. Using this dependence, system load levelling procedures are defined. However, such a model and method of research are not suitable for systems with a deterministic handling time. Therefore, this paper examines the dependence of the Poisson distribution parameter of the number of requests in a system from the deterministic handling time in the presence of a peak rate of the input stream. This dependence is examined analytically and numerically. It is shown that a reduction of the handling time levels the peak number of customers in the system
About the Authors
G. Sh. Tsitsiashvili
Institute of Applied Mathematics, Far Eastern Division, Russian Academy of Sciences
Russian Federation
Russian Federation
Gurami Sh. Tsitsiashvili, Chief Researcher, Doctor of Physics and Mathematics
7 Radio st., 690041, Vladivostok
T. V. Radchenkova
Institute of Applied Mathematics, Far Eastern Division, Russian Academy of Sciences
Russian Federation
Russian Federation
Tatiana V. Radchenkova, Research Engineer
7 Radio st., 690041, Vladivostok
References
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4. Tsitsiashvili G. Sh. Non-stationary Poisson model of a continuously functioning queuing system. Journal of Physics: Conference Series // The XIII International Conference Computer-Aided Technologies in Applied Mathematics (ICAM 2020). 2020. 1680 (1): 01205013.
Review
For citations:
Tsitsiashvili G.Sh., Radchenkova T.V. Queuing system without queue and deterministic service time. Dependability. 2023;23(2):64-67. (In Russ.) https://doi.org/10.21683/1729-2646-2023-23-2-64-67
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ISSN 1729-2646 (Print)
ISSN 2500-3909 (Online)
ISSN 2500-3909 (Online)
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