In this paper the authors study some problems concerning the use of fluid models to analyze the stability behaviour of certain queueing networks with an arbitrary number of stations. Specifically they try to identify a class of multi-station fluid networks characterized by possessing the Finite Decomposition Property (FDP). The authors study a subset of Multiclass Fluid Models (MFM), which are known as two-pass networks. For this class of network they define some conditions on µ rate parameters in the network stations under which the FDP holds. By this way they obtain the result that a queuing network whose fluid model is a two-pass network subject to the defined conditions is globally rate stable if and only if the associated fluid model is globally weakly stable. Leonardo Pasini
Recensione dell'articolo: (Yildirim, Utku; Hasenbein, John J. - " Stability in queueing networks via the finite decomposition property " - Asia-Pac.J.Oper.Res. 25 (2008), no.3, 393–409.)
PASINI, Leonardo
2009-01-01
Abstract
In this paper the authors study some problems concerning the use of fluid models to analyze the stability behaviour of certain queueing networks with an arbitrary number of stations. Specifically they try to identify a class of multi-station fluid networks characterized by possessing the Finite Decomposition Property (FDP). The authors study a subset of Multiclass Fluid Models (MFM), which are known as two-pass networks. For this class of network they define some conditions on µ rate parameters in the network stations under which the FDP holds. By this way they obtain the result that a queuing network whose fluid model is a two-pass network subject to the defined conditions is globally rate stable if and only if the associated fluid model is globally weakly stable. Leonardo PasiniI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
