Ward Whitt - Transient Behavior

Transient Behavior of Stationary Queueing Models

Untold Horrors of the Waiting Room. What the Equilibrium Distribution Will Never Tell About the Queue-Length Process. Management Science, vol. 29, No. 4, April 1983, pp. 395-408. [published PDF]
Transient Behavior of the M/M/1 Queue: Starting at the Origin. Queueing Systems: Theory and Applications, vol. 2, No. 1, 1987, pp. 41-65 (with Joseph Abate). [published PDF]
Transient Behavior of Regulated Brownian Motion I: Starting at the Origin. Advances in Applied Probability, vol. 19, No. 3, September 1987, pp. 560-598 (with Joseph Abate). [published PDF]
Transient Behavior of Regulated Brownian Motion, II: Non-Zero Initial Conditions. Advances in Applied Probability, vol. 19, No. 3, September 1987, pp. 599-631. [published PDF]
Transient Behavior of the M/M/1 Queue Via Laplace Transforms. Advances in Applied Probability, vol. 20, No. 1, March 1988, pp. 145-178 (with Joseph Abate). [published PDF]
The Correlation Functions of RBM and M/M/1. Stochastic Models, vol. 4, No. 2, 1988, & pp. 315-359 (with Joseph Abate). [published PDF]
Approximations for the M/M/1 Busy Period. Queueing Theory and its Applications, Liber Amicorum for Professor J. W. Cohen North-Holland, Amsterdam, 1988, pp. 149--191 [published PDF]
Simple Spectral Representations for the M/M/1 Queue. Queueing Systems, vol. 3, No. 4, 1988, pp. 321-346 (with Joseph Abate). [published PDF]
Spectral Theory for Skip-Free Markov Chains. Probability in the Engineering and Information Sciences, vol. 3, No. 1, 1989, pp. 77-88 (with Joseph Abate). [published PDF]
Decompositions of the M/M/1 Transition Function. Queueing Systems, vol. 9, No. 3, 1991, pp. 323-336 (with Joseph Abate and Masaaki Kijima). [published PDF]
The Transient BMAP/G/1 Queue. Stochastic Models, vol. 10, No. 1, 1994, pp. 145-182 (with Gagan L. Choudhury and David M. Lucantoni). [published PDF]
Transient Behavior of the M/G/1 Workload Process. Operations Research, vol. 42, No. 4, 1994, pp. 750-764 (with Joseph Abate). [published PDF]
Multi-Dimensional Transform Inversion with Applications to the Transient M/G/1 Queue. Annals of Applied Probability vol. 4, 1994, pp. 719-740 (with Gagan L. Choudhury and David M. Lucantoni). [published PDF]
Computing Transient and Steady-State Distributions in Polling Models by Numerical Transform Inversion. IEEE International Conference on Communications, Seattle, WA, June 1995, pp. 803-809 (with Gagan L. Choudhury). [published PDF]
Maximum Values in Queueing Processes. Probability in the Engineering and Informational Sciences, vol. 9, 1995, pp. 375-409 (with Arthur W. Berger). [PostScript] [PDF]
Heavy-Traffic Extreme-Value Limits for Queues. Operations Research Letters, vol. 18, 1995, pp. 107-111 (with Peter W. Glynn). [PostScript] [PDF] [published PDF]
Calculating the M/G/1 Busy-Period Density and the LIFO Waiting-Time Distribution by Direct Numerical Transform Inversion. Operations Research Letters, vol. 18, 1995, pp. 113-119 (with Joseph Abate and Gagan L. Choudhury). [published PDF]
Limits and Approximations for the Busy-Period Distribution in Single-Server Queues. Probability in the Engineering and Informational Sciences, vol. 9, 1995, pp. 581-602 (with Joseph Abate). [PostScript] [PDF] [published PDF]
Computing Distributions and Moments in Polling Models by Numerical Transform Inversion. Performance Evaluation, vol. 25, No. 4, 1996, pp. 267-292 (with Gagan L. Choudhury). [published PDF]
Resource Sharing for Book-Ahead and Instantaneous-Request Calls. Teletraffic Contributions for the Information Age, Proceedings of ITC 15, V. Ramaswami and P. E. Wirth (eds.), Elsevier, Amsterdam, 1997, pp. 539-548 (with Albert G. Greenberg and Rayadurgam Srikant).
Recovery from Congestion in a Large Multi-Server System. Teletraffic Contributions for the Information Age, Proceedings of ITC 15, V. Ramaswami and P. E. Wirth (eds.), Elsevier, Amsterdam, 1997, pp. 371-380 (with Nicholas G. Duffield).
Control and Recovery from Rare Congestion Events in a Large Multi-Server System. Queueing Systems, vol. 26, 1997, pp. 69-104 (with Nicholas G. Duffield). [published PDF]
A Source Traffic Model and its Transient Analysis for Network Control. Stochastic Models, vol. 14, Nos. 1 and 2, 1998, pp. 51-78 (with Nicholas G. Duffield). [PostScript] [PDF]
Calculating Transient Characteristics of the Erlang Loss Model by Numerical Transform Inversion. Stochastic Models, vol. 14, No. 3, 1998, pp. 663-680 (with Joseph Abate). [PostScript] [PDF] [published PDF]
Improving Service By Informing Customers About Anticipated Delays. Management Science, vol. 45, No. 2, February 1999, pp. 192-207. [PostScript] [PDF] [published PDF]
Resource Sharing for Book-Ahead and Instantaneous-Request Calls. IEEE/ACM Transactions on Networking, vol. 7, No. 1, February 1999, pp. 10-22 (with Albert G. Greenberg and Rayadurgam Srikant). [published PDF]
An Introduction to Numerical Transform Inversion and its Application to Probability Models, in Computational Probability, W. Grassman (ed.), Kluwer, Boston, 1999, pp. 257-323 (with Joseph Abate and Gagan L. Choudhury). [PostScript] [PDF]
Computing Laplace Transforms for Numerical Inversion Via Continued Fractions. INFORMS Journal on Computing, vol. 11, No. 4, Fall 1999, pp. 394-405 (with Joseph Abate). [PDF]
Resource Sharing for Book-Ahead and Instantaneous-Request Calls Using a CLT Approximation. Telecommunication Systems, vol. 16, Nos. 3,4, March-April 2001, pp. 233-253 (with Riyadurgam Srikant). [PostScript] [PDF]
Predicting Response Times in Processor-Sharing Queues. In Analysis of Communication Networks: Call Centres, traffic and Performance, Proceedings of the Fields Institute Conference on Communication Networks, D. J. MacDonald and S. J. Turner, (eds.), American Math. Society, Providence, RI, 2000, pp. 1-29 (with Amy R. Ward). [PostScript] [PDF]
Predicting Queueing Delays. Management Science, vol. 45, No. 6, June 1999, pp. 870-888. [published PDF]