Processing Networks: Fluid Models and Stability, Hardcover/J. G. Dai - Cambridge University Press

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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.
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