A note on the conservation law for continuous reflected processes and its application to queues with fluid inputs |
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Authors: | Rainer Catherine Mazumdar Ravi R |
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Institution: | (1) Département de Mathématics, Université de Bretagne Ouest, 29285 Brest Cedex, France;(2) Department of Mathematics, University of Essex, Colchester, CO4 3SQ, UK |
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Abstract: | In this note we provide a new derivation of a conservation law for stationary continuous reflected processes which arise in
the context of fluid queueing models. This readily gives the so-called Little's law for fluid queues as a special case. We
then apply the result to compute the Laplace transform of the stationary workload distribution for a queue with fluid ON-OFF
inputs in terms of the Palm distribution associated with the beginning of ON periods.
This revised version was published online in June 2006 with corrections to the Cover Date. |
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Keywords: | fluid inputs reflections Palm distribution stationary measures ON-OFF sources |
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