A note on the asymptotic distribution of the traffic-time-average in a GI/G/∞ with bulk arrivals
- 1 August 1968
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 5 (2) , 476-480
- https://doi.org/10.2307/3212268
Abstract
The asymptotic distribution of the traffic average in the case of M/G/∞ with bulk arrivals has been proved in [7] to be normal with mean μCμPμF and variance where and are the variances and μP and μc are the means of the service-time and the batch-size respectively, μF being the mean inter-arrival time. We prove in this note that the asymptotic normality holds even in the more general case of a G//G/∞ with bulk arrivals.Keywords
This publication has 1 reference indexed in Scilit:
- An application of stationary point processes to queueing theory and textile researchJournal of Applied Probability, 1966