H. Kushner
Heavy Traffic Analysis of Controlled Queueing and
Communication Networks
Series: Stochastic Modelling and Applied Probability, Vol. 47
▶ One of the first books in the timely and important area of heavy
traffic analysis of controlled and uncontrolles stochastics networks by
one of the leading authors in the field
2001, XIX, 515 p. 2 illus.
Printed book
Hardcover
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The aim of this book is the development of the heavy traffic approach to the modeling
and analysis of queueing networks, both controlled and uncontrolled, and many
applications to computer, communications, and manufacturing systems. The methods
exploit the multiscale structure of the physical problem to get approximating models
that have the form of reflected diffusion processes, either controlled or uncontrolled.
These ap proximating models have the basic structure of the original problem, but are
significantly simpler. Much of inessential detail is eliminated (or "av eraged out"). They
greatly simplify analysis, design, and optimization and yield good approximations to
problems that would otherwise be intractable, under broad conditions. Queueing-type
processes are ubiquitous occurrences in operations re search, and in communications and
computer systems. Indeed, it is hard to avoid them in modern technology. The subject
is now about 100 years old. and there is an enormous literature. Impressive techniques,
many based on Markov chain and ergodic theory, have been developed to han dle a great
variety of models. A sampling of the numerous books includes [6, 8, 18, 27, 33, 46, 81, 86,
132, 133, 220, 243]. But the models of interest are growing fast in the face of the demands
of new applications, particularly in communications and computer systems.
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