CONSERVATION-LAWS AND REFLECTION MAPPINGS WITH AN APPLICATION TO MULTICLASS MEAN-VALUE ANALYSIS FOR STOCHASTIC FLUID QUEUES

Authors
KONSTANTOPOULOS T ZAZANIS M DEVECIANA G
Citation
T. Konstantopoulos et al., CONSERVATION-LAWS AND REFLECTION MAPPINGS WITH AN APPLICATION TO MULTICLASS MEAN-VALUE ANALYSIS FOR STOCHASTIC FLUID QUEUES, Stochastic processes and their applications, 65(1), 1996, pp. 139-146
Citations number
10
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Stochastic processes and their applications → ACNP
ISSN journal
03044149
Volume
65
Issue
1
Year of publication
1996
Pages
139 - 146
Database
ISI
SICI code
0304-4149(1996)65:1<139:CARMWA>2.0.ZU;2-B
Abstract
In this paper we derive an alternative representation for the reflecti on of a continuous, bounded variation process. Under stationarity assu mptions we prove a continuous counterpart of Little's law of classical queueing theory. These results, together with formulas from Palm calc ulus, are used to explain the method for the derivation of the mean va lue of a buffer fed by a special type stochastic fluid arrival process .