Heavy-traffic extreme-value limits for queues

[1]  D. Iglehart.  Extreme Values in the GI/G/1 Queue , 1972 .

[2]  A. Pakes.  ON THE TAILS OF WAITING-TIME DISTRIBUTIONS , 1975 .

[3]  W. Philipp,et al.  Almost sure invariance principles for partial sums of weakly dependent random variables , 1975 .

[4]  Ward Whitt,et al.  Some Useful Functions for Functional Limit Theorems , 1980, Math. Oper. Res..

[5]  P. Révész,et al.  Strong approximations in probability and statistics , 1981 .

[6]  M. R. Leadbetter,et al.  Extremes and Related Properties of Random Sequences and Processes: Springer Series in Statistics , 1983 .

[7]  R. Serfozo.  EXTREME VALUES OF BIRTH AND DEATH PROCESSES AND QUEUES , 1987 .

[8]  W. Whitt,et al.  Transient behavior of regulated Brownian motion, I: Starting at the origin , 1987, Advances in Applied Probability.

[9]  W. Whitt,et al.  Transient behavior of the M/M/1 queue via Laplace transforms , 1988, Advances in Applied Probability.

[10]  Richard F. Serfozo,et al.  Extreme Values of Queue Lengths in M/G/1 and GI/M/1 Systems , 1988, Math. Oper. Res..

[11]  Zhang Hanqin,et al.  MULTIPLE CHANNEL QUEUES IN HEAVY TRAFFIC , 1990 .

[12]  J. Angus.  Extreme Value Theory in Engineering , 1990 .

[13]  Ward Whitt,et al.  The Fourier-series method for inverting transforms of probability distributions , 1992, Queueing Syst. Theory Appl..

[14]  Lajos Horváth,et al.  Strong Approximations of Open Queueing Networks , 1992, Math. Oper. Res..

[15]  U. Narayan Bhat,et al.  Queueing and related models , 1992 .

[16]  W. Whitt,et al.  asymptotics for open-loop window flow control , 1994 .

[17]  W. Whitt,et al.  Heavy-traffic asymptotic expansions for the asymptotic decay rates in the BMAP/G/1 queue , 1994 .

[18]  Ward Whitt,et al.  A comparison of the sliding window and the leaky bucket , 1995, Queueing Syst. Theory Appl..

[19]  Ward Whitt,et al.  Exponential Approximations for Tail Probabilities in Queues, I: Waiting Times , 1995, Oper. Res..

[20]  W. Whitt,et al.  Maximum Values in Queueing Processes , 1995, Probability in the Engineering and Informational Sciences.