On Analysis of M[X]|G|1|r Queuing System
- Authors: Samouylov KE1, Sopin ES1
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Affiliations:
- Peoples Friendship University of Russia
- Issue: No 1 (2011)
- Pages: 91-97
- Section: Articles
- URL: https://journals.rudn.ru/miph/article/view/8693
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Abstract
The paper presents results of analysis of M[X]|G|1|r queuing system with vacations and batch arrival. The relationship between the probability distributions of systems with infinite and limited capacity is shown. An expression for generating function of queue length distribution for the case of r < ∞ is obtained, as well as formulas for stationary probabilities, call loss probability and other characteristics.
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About the authors
K E Samouylov
Peoples Friendship University of Russia
Email: ksam@sci.pfu.edu.ru
Кафедра систем телекоммуникаций; Российский университет дружбы народов; Peoples Friendship University of Russia
E S Sopin
Peoples Friendship University of RussiaКафедра систем телекоммуникаций; Российский университет дружбы народов; Peoples Friendship University of Russia