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Processing Networks - Fluid Models and Stability (Hardcover)
Loot Price: R1,456
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Processing Networks - Fluid Models and Stability (Hardcover)
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This state-of-the-art account unifies material developed in journal
articles over the last 35 years, with two central thrusts: It
describes a broad class of system models that the authors call
'stochastic processing networks' (SPNs), which include queueing
networks and bandwidth sharing networks as prominent special cases;
and in that context it explains and illustrates a method for
stability analysis based on fluid models. The central mathematical
result is a theorem that can be paraphrased as follows: If the
fluid model derived from an SPN is stable, then the SPN itself is
stable. Two topics discussed in detail are (a) the derivation of
fluid models by means of fluid limit analysis, and (b) stability
analysis for fluid models using Lyapunov functions. With regard to
applications, there are chapters devoted to max-weight and
back-pressure control, proportionally fair resource allocation,
data center operations, and flow management in packet networks.
Geared toward researchers and graduate students in engineering and
applied mathematics, especially in electrical engineering and
computer science, this compact text gives readers full command of
the methods.
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