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Large Deviations For Performance Analysis

Alan Weiss | Adam Shwartz
€198.40
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A01=Adam Shwartz
A01=Alan Weiss
Anick-Mitra-Sondhi Model
Applications
Arrival Rate
Author_Adam Shwartz
Author_Alan Weiss
Ballot Theorem
Birth Death Process
Boundary Theory
Branching Processes
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Coefficient Processes
Compact Level Sets
computer architecture performance model
continuous-time Markov chain
Contraction Principle
Cycle Times
Discontinuities
Discrete-Space Markov Processes
Empirical Distributions
Empirical Measures
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Erlang's Model
Erlang’s Model
Exit Problem
Exponential Approximations
Finite Markov Processes
Finite Population Model
Flatto-Hahn-Wright
Free M/M/1 Process
Free MM1 Process
Ga?rtner-Ellis Theorem
Good Rate Function
Heuristics
I.I.D. Random Variables
I.I.D. Random Vectors
Independent Poisson Process
Integration
Invariant Measures
Jump Markov Process
Jump Rates
Kurtz's Theorem
Kurtz’s Theorem
Large Deviations
Large Deviations Analysis
Large Deviations Estimates
Large Deviations Principle
Large Deviations Rate Function
Large Deviations Theorems
Lower Bound
Lower Semicontinuous
Lowest Cost Path
M/M/1 queue
Markov Process
Markov Processes
Metric Spaces
Minimal Cost Path
MM1 queue
Motivation
Multiple Access Channels
Optimal Path
Orientation
packet transmission
Parallel Algorithms
Poisson
Probability
Probable Behavior
Radon-Nikodym Derivatives
Random Variables
Rate Function
Sanov's Theorem
Sanov’s Theorem
Simple Jump Processes
Steady State Probability
Stochastic Processes
Straight Line Paths
Subadditivity Arguments
Topology
Trunk Reservation
Upper Bound
Varadhan's Integral Lemma
Varadhan’s Integral Lemma
Variational Problem

Product details

  • ISBN 9781138315778
  • Weight: 453g
  • Dimensions: 178 x 254mm
  • Publication Date: 19 Dec 2018
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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Description

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.

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