Processing Networks - Fluid Models and Stability (Hardcover)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Release date:	October 2020
Authors:	J. G. Dai • J.Michael Harrison
Dimensions:	234 x 156 x 23mm (L x W x T)
Format:	Hardcover
Pages:	404
ISBN-13:	978-1-108-48889-1
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Computing & IT > General theory of computing > General Books > Business & Economics > Economics > Econometrics > General Books > Business & Economics > Business & management > Management & management techniques > Operational research Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics Promotions
LSN:	1-108-48889-7
Barcode:	9781108488891

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