Conservation laws and reflection mappings with an application to multiclass mean value analysis for stochastic fluid queues

In this paper we derive an alternative representation for the reflection of a continuous, bounded variation process. Under stationarity assumptions we prove a continuous counterpart of Little's law of classical queueing theory. These results, together with formulas from Palm calculus, are used to explain the method for the derivation of the mean value of a buffer fed by a special type stochastic fluid arrival process.

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Year of publication:	1996
Authors:	Konstantopoulos, Takis ; Zazanis, Michael ; De Veciana, Gustavo
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 65.1996, 1, p. 139-146
Publisher:	Elsevier
Keywords:	Fluid queues Reflection mapping Conservation laws Palm probabilities

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008872777