The compensation approach applied to a 2x2 switch

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Abstract

In this paper we analyze an asymmetric 2 × 2 buffered switch, fed by two independent Bernoulli input streams. We derive the joint equilibrium distribution of the numbers of messages waiting in the two output buffers. This joint distribution is presented explicitly, without the use of generating functions, in the form of a sum of two alternating series of product-form geometric distributions. The method used is the so-called compensation approach, developed by Adan, Wessels, and Zijm.
Original languageEnglish
Pages (from-to)471-493
JournalProbability in the Engineering and Informational Sciences
Volume7
Issue number4
DOIs
Publication statusPublished - 1993

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