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This paper treats transience for queueing network models by considering an associatedfluid model. If starting from any initial condition the fluid model explodesat a linear rate, then the associated queueing network with i.i.d. service timesand a renewal arrival process explodes faster than any fractional power.Keywords: Queueing networks, stability.1 IntroductionThere has been much recent interest in understanding the dynamics of queueing networks,and in particular their stability...

Transience of Multiclass Queueing Networks Via Fluid Limit Models