Stochastic-Process Limits

An Introduction to Stochastic-Process Limits and Their Application to Queues

  • Ward Whitt
Part of the Springer Series in Operations Research and Financial Engineering book series (ORFE)

Table of contents

About this book

Introduction

Stochastic Process Limits are useful and interesting because they generate simple approximations for complicated stochastic processes and also help explain the statistical regularity associated with a macroscopic view of uncertainty.
This book emphasizes the continuous-mapping approach to obtain new stochastic-process limits from previously established stochastic-process limits. The continuous-mapping approach is applied to obtain heavy-traffic-stochastic-process limits for queueing models, including the case in which there are unmatched jumps in the limit process. These heavy-traffic limits generate simple approximations for complicated queueing processes and they reveal the impact of variability upon queueing performance. The book will be of interest to researchers and graduate students working in the areas of probability, stochastic processes, and operations research. In addition this book won the 2003 Lanchester Prize for the best contribution to Operation Research and Management in English, see: http://www.informs.org/Prizes/LanchesterPrize.html

Keywords

Approximation Queueing Queueing Theory STATISTICA Stochastic Processes Stochastic-Process Limits fluid queue linear optimization operations research random walk stochastic process

Authors and affiliations

  • Ward Whitt
    • 1
  1. 1.AT&T Labs-ResearchShannon LaboratoryFlorham ParkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/b97479
  • Copyright Information AT&T 2002
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-95358-8
  • Online ISBN 978-0-387-21748-2
  • Series Print ISSN 1431-8598
  • About this book