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The rate of convergence in limit theorems for service systems with finite queue capacity

Published online by Cambridge University Press:  14 July 2016

Joseph Tomko*
Affiliation:
Computer Centre of Hungarian Academy of Sciences, Budapest

Abstract

The paper deals with the asymptotic analysis of waiting time distribution for service systems with finite queue capacity. First an M/M/m system is considered and the rate of approximation is given. Then the case of the M/G/1 system is studied for traffic intensity ρ > 1. In the last section a condition is given under which an estimate can be derived for the remainder term in central limit theorems for randomly stopped sums.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1972 

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References

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