On Analysis of M[X]|G|1|r Queuing System

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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.

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 Russia

Кафедра систем телекоммуникаций; Российский университет дружбы народов; Peoples Friendship University of Russia

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Copyright (c) 2011 Самуйлов К.Е., Сопин Э.С.

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