Bounds for performance characteristics : a systematic approach via cost structures

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

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Samenvatting

In this paper we present a systematic approach for the construction of bounds for the average cost in Markov chains with infinitely many states. The technique to prove the bounds is based on dynamic programming. Most performance characteristics of Markovian systems can be represented by the average cost for some appropriately chosen cost structure. Therefore, the approach can be used to generate bounds for relevant performance characteristics. The approach is demonstrated for the shortest queue model. It is shown how for this model several bounds for the mean waiting time can be constructed. We include numerical results to demonstrate the quality of these bounds.
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijTechnische Universiteit Eindhoven
Aantal pagina's16
StatusGepubliceerd - 1997

Publicatie series

NaamMemorandum COSOR
Volume9708
ISSN van geprinte versie0926-4493

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