The rate of convergence in limit theorems for service systems with finite queue capacity
- 1 March 1972
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 9 (1) , 87-102
- https://doi.org/10.2307/3212639
Abstract
The paper deals with the asymptotic analysis of waiting time distribution for service systems with finite queue capacity. First anM/M/msystem is considered and the rate of approximation is given. Then the case of theM/G/1 system is studied for traffic intensityρ> 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.Keywords
This publication has 3 references indexed in Scilit:
- The Ergodic Queue Length Distribution for Queueing Systems with Finite CapacityJournal of the Royal Statistical Society Series B: Statistical Methodology, 1966
- On the asymptotic distribution of the sum of a random number of independent random variablesActa Mathematica Hungarica, 1957
- On certain sojourn time problems in the theory of stochastic processesActa Mathematica Hungarica, 1957