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Large Deviations for Performance Analysis

Large Deviations for Performance Analysis

by Adam Shwartz and Alan Weiss
Paperback
Publication Date: 02/04/2021

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Originally published in 1995, Large Deviations for Performance Analysis consists of two synergistic parts. The first half develops the theory of large deviations from the beginning, through recent results on the theory for processes with boundaries, keeping to a very narrow path: continuous-time, discrete-state processes. By developing only what is needed for the applications, the theory is kept to a manageable level, both in terms of length and in terms of difficulty. Within its scope, the treatment is detailed, comprehensive and self-contained. As the book shows, there are sufficiently many interesting applications of jump Markov processes to warrant a special treatment. The second half is a collection of applications developed at Bell Laboratories. The applications cover large areas of the theory of communication networks: circuit switched transmission, packet transmission, multiple access channels, and the M/M/1 queue. Aspects of parallel computation are covered as well including, basics of job allocation, rollback-based parallel simulation, assorted priority queueing models that might be used in performance models of various computer architectures, and asymptotic coupling of processors. These applications are thoroughly analysed using the tools developed in the first half of the book.

ISBN:
9781138318106
9781138318106
Category:
Mathematics
Format:
Paperback
Publication Date:
02-04-2021
Language:
English
Publisher:
CRC Press LLC
Country of origin:
United States
Dimensions (mm):
254x177.8mm
Weight:
1.04kg
Alan Weiss

Alan Weiss is a Rhode Island-based consultant, speaker, and bestselling author. His consulting firm, Summit Consulting Group, Inc., has attracted clients such as Mercedes-Benz, Merck, The New York Times, and over 500 other leading organizations. His speaking typically includes 30 keynotes a year at major conferences. He is a Fellow of the Institute of Management, is a Hall of Fame Inductee at the National Speakers Association and has been awarded the Lifetime Achievement Award by the American Press Institute.

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