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 Littleʹs 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.