EAN: 9783031792595

SYNTHESIS LECTURES ON LEARNING NETWORKS AND ALG...

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.

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