Large bursts do not cause instability

IEEE Transactions on Automatic Control

Volumn 45, Issue 1, 2000, Pages 116-118

  Hajek, Bruce ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLIENT SERVER COMPUTER SYSTEMS; CONSTRAINT THEORY; MATHEMATICAL MODELS; MATRIX ALGEBRA; QUEUEING NETWORKS; TELECOMMUNICATION TRAFFIC;

FLUID TRAFFIC; NETWORK STABILITY;

SYSTEM STABILITY;

EID: 0033897589     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.827366     Document Type: Article

References (8)

1. M. Bramson, "Convergence to equlibria for fluid models of FIFO queuing networks," Queueing Syst. Their Applicat., vol. 22, pp. 5-45, 1996.
2. R. L. Cruz, "A calculus for network delay - Part I: Network elements in isolation," IEEE Trans. Inform. Theory, vol. 37, pp. 114-131, Jan. 1991.
3. H. Chen, "Fluid approximations and stability of multiclass queueing networks: Work conserving disciplines," Ann. Appl. Probability, vol. 5, pp. 637-665, 1995.
4. J. G. Dai, "On the positive Harris recurrence for multiclass queueing networks," Ann. Appl. Probability, vol. 5, pp. 49-77, 1995.
5. J. G. Dai and G. Weiss, "Stability and instability of fluid models for re-entrant lines," Math. Oper. Res, vol. 21, pp. 115-134, 1996.
6. J. G. Dai and R. J. Williams, "Existence and uniqueness of semimartingale reflecting Brownian motion in convex polyhedrons," Theory Probability Applicat., vol. 50, pp. 3-53, 1995.
7. D. Gamarnik, "Stability of adversarial queues via fluid models," IEEE Trans. Automat. Contr., to be published.
8. L. Tassiulas and L. Georgiadis, "Any work-conserving policy stabilizes the ring with spatial reuse," IEEE Trans. Networking, vol. 4, pp. 205-208, Feb. 1996.