- PII
- 10.31857/S0555292323040046-1
- DOI
- 10.31857/S0555292323040046
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 59 / Issue number 4
- Pages
- 32-37
- Abstract
- We propose an approach for generalization of formulas previously obtained by the authors for the first and second queue length moments in a queueing system with a nonordinary Poissonian arrival flow, single server, and constant service time to the case of a variable service time. The service time is assumed to be a random variable with a finite set of values. This model is adequate for a vast class of batch transmission systems, since the batch transmission time in real-world systems can take only finitely many values.
- Keywords
- Date of publication
- 18.09.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 14
References
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- 2. Лихтциндер Б.Я. Трафик мультисервисных сетей доступа (интервальный анализ и проектирование). М.: Науч.-тех. изд-во «Горячая линия – Телеком», 2019. 3. Yunhua R. Evaluation and Estimation of Second-Order Self-similar Network Traffic // Comput. Commun. 2004. V. 27. № 9. P. 898–904. https://doi.org/10.1016/j.comcom.2004.02.003
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- 4. Mill´an Naveas G., San Juan Urrutia E., Vargas Guzm´an M. A Simple Multifractal Model for Self-similar Traffic Flows in High-Speed Computer Networks // Comp. y Sist. 2019. V. 23. № 4. P. 1517–1521. https://doi.org/10.13053/cys-23-4-2831
- 5. Вишневский В.М., Дудин А.Н. Системы массового обслуживания с коррелированными входными потоками и их применение для моделирования телекоммуникационных сетей // Автомат. и телемех. 2017. № 8. С. 3–59. https://www.mathnet.ru/rus/at14562
