Multiple-input heavy-traffic real-time queues

[1]  M. V. Valkenburg Network Analysis , 1964 .

[2]  M. Reiman,et al.  FLUID AND HEAVY TRAFFIC DIFFUSION LIMITS FOR A GENERALIZED PROCESSOR SHARING MODEL , 2003 .

[3]  Yu. V. Prokhorov Convergence of Random Processes and Limit Theorems in Probability Theory , 1956 .

[4]  Ruth J. Williams,et al.  Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse , 1998, Queueing Syst. Theory Appl..

[5]  Rene L. Cruz,et al.  A calculus for network delay, Part I: Network elements in isolation , 1991, IEEE Trans. Inf. Theory.

[6]  S. Shreve,et al.  Real-time queues in heavy traffic with earliest-deadline-first queue discipline , 2001 .

[7]  Hui Zhang,et al.  Service disciplines for guaranteed performance service in packet-switching networks , 1995, Proc. IEEE.

[8]  Abhay Parekh,et al.  A generalized processor sharing approach to flow control in integrated services networks: the single-node case , 1993, TNET.

[9]  D. Iglehart,et al.  Multiple channel queues in heavy traffic. I , 1970, Advances in Applied Probability.

[10]  Rene L. Cruz,et al.  A calculus for network delay, Part II: Network analysis , 1991, IEEE Trans. Inf. Theory.

[11]  Martin I. Reiman,et al.  Some diffusion approximations with state space collapse , 1984 .

[12]  F. Baccelli,et al.  Modelling and Performance Evaluation Methodology , 1984 .

[13]  P. Billingsley,et al.  Convergence of Probability Measures , 1969 .

[14]  S. Shreve,et al.  Earliest-deadline-first service in heavy-traffic acyclic networks , 2004, math/0407136.

[15]  S. Ethier,et al.  Markov Processes: Characterization and Convergence , 2005 .

[16]  Cheng-Shang Chang,et al.  Stability, queue length, and delay of deterministic and stochastic queueing networks , 1994, IEEE Trans. Autom. Control..

[17]  Maury Bramson,et al.  State space collapse with application to heavy traffic limits for multiclass queueing networks , 1998, Queueing Syst. Theory Appl..