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

Аннотация

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.