Generalization of Formulas for Queue Length Moments under Nonordinary Poissonian Arrivals for Batch Queues in Telecommunication Systems

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Resumo

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.

Sobre autores

B. Likhttsinder

Povolzhskiy State University of Telecommunications and Informatics

Email: b.lihtcinder@psuti.ru
Samara, Russia

A. Privalov

Korolyov Samara National Research University; Povolzhskiy State University of Telecommunications and Informatics

Autor responsável pela correspondência
Email: privalov1967@gmail.com
Samara, Russia; Samara, Russia

Bibliografia

  1. Лихтциндер Б.Я., Привалов А.Ю., Моисеев В.И. Неординарные пуассоновские модели трафика мультисервисных сетей // Пробл. передачи информ. 2023. Т. 59. № 1. С. 71–79. https://www.mathnet.ru/ppi2392
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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

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