Necessary conditions for global stability of multiclass queueing networks

[1]  Frank Kelly,et al.  Networks of queues with customers of different types , 1975, Journal of Applied Probability.

[2]  P. R. Kumar,et al.  Dynamic instabilities and stabilization methods in distributed real-time scheduling of manufacturing systems , 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

[3]  P. R. Kumar,et al.  Distributed scheduling based on due dates and buffer priorities , 1991 .

[4]  P. R. Kumar,et al.  Re-entrant lines , 1993, Queueing Syst. Theory Appl..

[5]  J. Michael Harrison,et al.  Some badly behaved closed queueing networks , 1994 .

[6]  Thomas I. Seidman,et al.  "First come, first served" can be unstable! , 1994, IEEE Trans. Autom. Control..

[7]  D. Botvich,et al.  Ergodicity of conservative communication networks , 1994 .

[8]  M. Bramson Instability of FIFO Queueing Networks , 1994 .

[9]  Sean P. Meyn Transience of Multiclass Queueing Networks Via Fluid Limit Models , 1995 .

[10]  J. Dai On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models , 1995 .

[11]  Vincent Dumas Approches fluides pour la stabilite et l'instabilite de reseaux de files d'attente stochastiques a plusieurs classes de clients , 1995 .

[12]  J. Dai On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models , 1995 .

[13]  J. Tsitsiklis,et al.  Stability conditions for multiclass fluid queueing networks , 1996, IEEE Trans. Autom. Control..

[14]  J. Dai A fluid limit model criterion for instability of multiclass queueing networks , 1996 .

[15]  Sunil Kumar,et al.  Fluctuation smoothing policies are stable for stochastic re-entrant lines , 1996, Discret. Event Dyn. Syst..

[16]  Gideon Weiss,et al.  Stability and Instability of Fluid Models for Reentrant Lines , 1996, Math. Oper. Res..

[17]  G. Dai A Fluid-limit Model Criterion for Instability of Multiclass Queueing Networks , 1996 .

[18]  Vincent Dumas Essential Faces and Stability Conditions of Multiclass Networks with Priorities , 1996 .

[19]  Vincent Dumas,et al.  A multiclass network with non-linear, non-convex, non-monotonic stability conditions , 1997, Queueing Syst. Theory Appl..

[20]  Ann Appl,et al.  On the Positive Harris Recurrence for Multiclass Queueing Networks: a Uniied Approach via Uid Limit Models , 1999 .