Large Deviations For Performance Analysis: Queues, Communication and Computing

Alan A. Weiss · Adam Shwartz

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Advanced Queuing Theory Analysis Stochastic processes and statistical mechanics Probability and Risk Models

Abstract

What this is, and what it is not Large deviations of random variables General principles Random walks, branching processes Poisson and related processes Large deviation for processes Freidlin-Wentzell theory Boundary theory Allocating independent subtasks Parallel algorithms: rollback Accelerated simulation the M/M/1 queue The Flatto-Hahn-Wright model Erlang's model The Anick-Mitra-Sondhi model ALOHA Priority queues Flatto's models Analysis and Probability Discrete-space markov processes Calculus of variations Large deviations techniques.

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2001Largest Weighted Delay First Scheduling: Large Deviations and Optimality 1999Asymptotic results for multiplexing subexponential on-off processes 2002Analysis, Design, and Control of Queueing Systems 1999Cell loss asymptotics for buffers fed with a large number of independent stationary sources 2001Sequencing and Routing in Multiclass Queueing Networks Part I: Feedback Regulation 1994Large deviations behavior of counting processes and their inverses 2001Managerial Allocation of Time and Effort: The Effects of Interruptions 2002The Analysis of Queues with Time-Varying Rates for Telecommunication Models

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