Processing Networks: Fluid Models and Stability
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.
yazar | J. G. Dai |
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Tarafından yayınlandı | 15 Ekim 2020 |
Mdpi AG 28 Şubat 2018 Additional Contributors 18,9 x 0,6 x 24,6 cm 3 Ocak 2017 ERWIN N GRISWOLD 30 Ekim 2011 18,9 x 0,3 x 24,6 cm Kolektif 1 Ocak 2017 ROBERT H BORK 28 Ekim 2011 18,9 x 0,5 x 24,6 cm 15 x 0,5 x 22 cm WADE H MCCREE 18,9 x 0,2 x 24,6 cm 15 Ekim 2020 18,9 x 0,4 x 24,6 cm
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Sürüm ayrıntıları
yazar | J. G. Dai J. Michael Harrison |
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isbn 10 | 1108488897 |
isbn 13 | 978-1108488891 |
Yayımcı | Cambridge University Press |
Tarafından yayınlandı Processing Networks: Fluid Models and Stability | 15 Ekim 2020 |
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