Springer Series in Operations Research and Financial Engineering: An Introduction to Stochastic-Process Limits and Their Application to Queues

Whitt, Ward

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

Details

Published by: Springer

Publication Date: 2011-05-26

Format: Paperback

ISBN-13: 9781441929693

DOI: 10.1007/b97479

Dimensions: 254cm x178cm

Pages: 602