The compensation approach for three or more dimensional random walks

G.J.J.A.N. Houtum, van, I.J.B.F. Adan, J. Wessels, W.H.M. Zijm

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Samenvatting

In this paper we investigate for which random walks with three or more dimensions the compensation approach can be used to determine the equilibrium distribution. As we will see, the compensation approach is not appropriate for the symmetric shortest queue system with three queues, but for the 2 x 3 buffered switch it is. By using this compensation approach, we show that for the 2 x 3 buffered switch the equilibrium distribution can be expressed as a linear combination of six series of binary trees of product-form (geometric) distributions.
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijTechnische Universiteit Eindhoven
Aantal pagina's8
StatusGepubliceerd - 1992

Publicatie series

NaamMemorandum COSOR
Volume9239
ISSN van geprinte versie0926-4493

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