A NOTE ON THE CONSERVATION LAW FOR CONTINUOUS REFLECTED PROCESSES ANDITS APPLICATION TO QUEUES WITH FLUID INPUTS

In this note we provide a new derivation of a conservation law for sta tionary continuous reflected processes which arise in the context of f luid queueing models. This readily gives the so-called Little's law fo r fluid queues as a special case. We then apply the result to compute the Laplace transform of the stationary workload distribution for a qu eue with fluid ON-OFF inputs in terms of the Palm distribution associa ted with the beginning of ON periods.