• Publications
  • Influence
An Introduction to Stochastic-Process Limits and their Application to Queues
  • W. Whitt
  • Computer Science, Mathematics
  • 2002
Experiencing Statistical Regularity.- Random Walks in Applications.- The Framework for Stochastic-Process Limits.- A Panorama of Stochastic-Process Limits.- Heavy-Traffic Limits for Fluid Queues.-Expand
  • 795
  • 142
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Heavy-Traffic Limits for Queues with Many Exponential Servers
TLDR
Two different kinds of heavy-traffic limit theorems have been proved for s -server queues. Expand
  • 681
  • 134
The Queueing Network Analyzer
  • W. Whitt
  • Computer Science
  • The Bell System Technical Journal
  • 1 November 1983
TLDR
This paper describes the Queueing Network Analyzer (QNA), a software package developed at Bell Laboratories to calculate approximate congestion measures for a network of queues with first-come, first-served discipline and no capacity constraints. Expand
  • 1,007
  • 121
  • PDF
Numerical Inversion of Laplace Transforms of Probability Distributions
  • J. Abate, W. Whitt
  • Mathematics, Computer Science
  • INFORMS J. Comput.
  • 1 February 1995
TLDR
We present a simple algorithm for numerically inverting Laplace transforms. Expand
  • 662
  • 109
  • PDF
The Fourier-series method for inverting transforms of probability distributions
  • J. Abate, W. Whitt
  • Mathematics, Computer Science
  • Queueing Syst. Theory Appl.
  • 3 January 1992
TLDR
This paper reviews the Fourier-series method for calculating cumulative distribution functions (cdf's) and probability mass functions (pmf's) by numerically inverting characteristic functions, Laplace transforms and generating functions. Expand
  • 648
  • 98
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Comparison methods for queues and other stochastic models
TLDR
Studies stochastic models of queueing, reliability, inventory, and sequencing in which random influences are considered. Expand
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Characterizing Superposition Arrival Processes in Packet Multiplexers for Voice and Data
TLDR
This paper analyzes a model of a multiplexer for packetized voice and data. Expand
  • 825
  • 46
Some Useful Functions for Functional Limit Theorems
  • W. Whitt
  • Mathematics, Computer Science
  • Math. Oper. Res.
  • 1 February 1980
TLDR
This paper facilitates applications of the continuous mapping theorem by determining when several important functions and sequences of functions preserve convergence. Expand
  • 357
  • 46
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Fitting mixtures of exponentials to long-tail distributions to analyze network performance models
TLDR
We address this problem by developing an algorithm for approximating a long-tail distribution by a finite mixture of exponentials. Expand
  • 379
  • 45
  • PDF
APPROXIMATIONS FOR THE GI/G/m QUEUE
TLDR
Queueing models can usefully represent production systems experiencing congestion due to irregular flows, but exact analyses of these queueing models are difficult. Expand
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