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Author Mazumdar, Ravi Rasendra, 1955-
Title Performance modeling, stochastic networks, and statistical multiplexing [electronic resource] / Ravi R. Mazumdar
Imprint San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA) : Morgan & Claypool, c2013
book jacket
Edition 2nd ed
Descript 1 electronic text (xiv, 197 p.) : ill., digital file
Series Synthesis lectures on communication networks, 1935-4193 ; # 12
Synthesis digital library of engineering and computer science
Synthesis lectures on communication networks ; # 12. 1935-4193
Note Part of: Synthesis digital library of engineering and computer science
Series from website
Includes bibliographical references (p. 187-192) and index
1. Introduction to traffic models and analysis -- 1.1. Introduction -- 1.2. Traffic arrival models -- 1.3. Stochastic intensities and Martingales -- 1.4. Residual life and the inspection paradox -- 1.5. Event and time averages (EATA) -- 1.5. Fluid traffic arrival models --
2. Queues and performance analysis -- 2.1. Preliminaries -- 2.2. Queueing models -- 2.3. Waiting times and workload in queues -- 2.4. From means to distributions -- 2.5. Fluid queues --
3. Loss models for networks -- 3.1. Introduction -- 3.2. Mathematical preliminaries -- 3.3. Erlang loss system -- 3.4. Multi-rate Erlang loss systems -- 3.5. The general network case -- 3.6. Large loss systems -- 3.7. Loss network models in wireless communication networks -- 3.8. Some properties of large multi-rate systems --
4. Stochastic networks and insensitivity -- 4.1. Introduction -- 4.2. Markovian networks -- 4.2.1. First-order equivalents -- 4.3. Insensitivity in stochastic networks -- 4.4. Optimization and bandwidth allocation -- 4.5. Model for flow based architectures -- 4.6. Complex networks and chaos -- 4.7. Stochastic fluid networks --
5. Statistical multiplexing -- 5.1. Performance metrics for quality of service (QoS) -- 5.2. Multiplexing and effective bandwidths-motivation -- 5.3. Multiplexing fluid inputs -- 5.4. QoS-packet loss and effective bandwidths -- 5.5. Estimating buffer overflow probabilities -- 5.6. Effective bandwidths revisited --
A. Review of probability and Markov chains -- Bibliography -- Author's biography -- Index
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This monograph presents a concise mathematical approach for modeling and analyzing the performance of communication networks with the aim of introducing an appropriate mathematical framework for modeling and analysis as well as understanding the phenomenon of statistical multiplexing.The models, techniques, and results presented form the core of traffic engineering methods used to design,control and allocate resources in communication networks.The novelty of the monograph is the fresh approach and insights provided by a sample-path methodology for queueing models that highlights the important ideas of Palm distributions associated with traffic models and their role in computing performance measures.The monograph also covers stochastic network theory including Markovian networks. Recent results on network utility optimization and connections to stochastic insensitivity are discussed. Also presented are ideas of large buffer, and many sources asymptotics that play an important role in understanding statistical multiplexing. In particular, the important concept of effective bandwidths as mappings from queueing level phenomena to loss network models is clearly presented along with a detailed discussion of accurate approximations for large networks
Also available in print
Title from PDF t.p. (viewed on July 19, 2013)
Morgan & Claypool
Link Print version: 9781627051729
Subject Computer networks -- Mathematical models
Communication -- Network analysis
Network performance (Telecommunication) -- Mathematical models
Multiplexing -- Statistical methods
Stochastic processes
communication networks
performance modeling
point process
fluid inputs
queues
Palm distributions
stochastic networks
insensitivity
effective bandwiths
statistical multiplexing
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