The compensation approach applied to a 2x2 switch

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Samenvatting

In this paper we analyze an asymmetric 2 x 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. Keywords: buffered switch, Markov chain, equilibrium distribution, product form.
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijTechnische Universiteit Eindhoven
Aantal pagina's21
StatusGepubliceerd - 1992

Publicatie series

NaamMemorandum COSOR
Volume9228
ISSN van geprinte versie0926-4493

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