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Introduction to Stochastic Networks (Hardcover, 1999 ed.)
Loot Price: R2,827
Discovery Miles 28 270
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Introduction to Stochastic Networks (Hardcover, 1999 ed.)
Series: Stochastic Modelling and Applied Probability, 44
Expected to ship within 10 - 15 working days
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Total price: R2,847
Discovery Miles: 28 470
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In a stochastic network, such as those in
computer/telecommunications and manufacturing, discrete units move
among a network of stations where they are processed or served.
Randomness may occur in the servicing and routing of units, and
there may be queueing for services. This book describes several
basic stochastic network processes, beginning with Jackson networks
and ending with spatial queueing systems in which units, such as
cellular phones, move in a space or region where they are served.
The focus is on network processes that have tractable (closed-form)
expressions for the equilibrium probability distribution of the
numbers of units at the stations. These distributions yield network
performance parameters such as expectations of throughputs, delays,
costs, and travel times. The book is intended for graduate students
and researchers in engineering, science and mathematics interested
in the basics of stochastic networks that have been developed over
the last twenty years. Assuming a graduate course in stochastic
processes without measure theory, the emphasis is on
multi-dimensional Markov processes. There is also some
self-contained material on point processes involving real analysis.
The book also contains rather complete introductions to reversible
Markov processes, Palm probabilities for stationary systems, Little
laws for queueing systems and space-time Poisson processes. This
material is used in describing reversible networks, waiting times
at stations, travel times and space-time flows in networks. Richard
Serfozo received the Ph.D. degree in Industrial Engineering and
Management Sciences at Northwestern University in 1969 and is
currently Professor of Industrial and Systems Engineering at
Georgia Institute of Technology. Prior to that he held positions in
the Boeing Company, Syracuse University, and Bell Laboratories. He
has held
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