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Titlebook: Analytical Methods for Network Congestion Control; Steven H. Low Book 2017 Springer Nature Switzerland AG 2017

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發(fā)表于 2025-3-21 19:49:34 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Analytical Methods for Network Congestion Control
影響因子2023Steven H. Low
視頻videohttp://file.papertrans.cn/157/156621/156621.mp4
學(xué)科分類Synthesis Lectures on Learning, Networks, and Algorithms
圖書封面Titlebook: Analytical Methods for Network Congestion Control;  Steven H. Low Book 2017 Springer Nature Switzerland AG 2017
影響因子The congestion control mechanism has been responsible for maintaining stability as the Internet scaled up by many orders of magnitude in size, speed, traffic volume, coverage, and complexity over the last three decades. In this book, we develop a coherent theory of congestion control from the ground up to help understand and design these algorithms. We model network traffic as fluids that flow from sources to destinations and model congestion control algorithms as feedback dynamical systems. We show that the model is well defined. We characterize its equilibrium points and prove their stability. We will use several real protocols for illustration but the emphasis will be on various mathematical techniques for algorithm analysis.Specifically we are interested in four questions:1. How are congestion control algorithms modelled?2. Are the models well defined?3. How are the equilibrium points of a congestion control model characterized?4. How are the stability of these equilibrium points analyzed?For each topic, we first present analytical tools, from convex optimization, to control and dynamical systems, Lyapunov and Nyquist stability theorems, and to projection and contraction theore
Pindex Book 2017
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發(fā)表于 2025-3-21 21:54:36 | 只看該作者
Global Stability: Lyapunov Method,h as throughput, delay, loss and fairness. This is useful because the first step in designing a congestion control algorithm should be to ensure it has desirable equilibrium properties. In this chapter we study whether the algorithm will indeed drive the network toward an equilibrium starting from a
板凳
發(fā)表于 2025-3-22 01:31:29 | 只看該作者
Global Stability: Gradient Projection Method, the dynamics of the closed-loop system as a gradient projection algorithm for the Lagrangian dual problem of network utility maximization. We derive sufficient conditions for this algorithm to converge to dual-optimal link prices, from which primal-optimal rates can be recovered.
地板
發(fā)表于 2025-3-22 07:17:58 | 只看該作者
Local Stability with Delay,g rate the effect immediately reaches all the links in its path, and when a link updates its congestion price the new price is immediately sensed at all sources using that link. This is of course unrealistic. In this chapter we incorporate feedback delay into our model and study the stability of the
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2690-4306 e, speed, traffic volume, coverage, and complexity over the last three decades. In this book, we develop a coherent theory of congestion control from the ground up to help understand and design these algorithms. We model network traffic as fluids that flow from sources to destinations and model cong
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發(fā)表于 2025-3-22 13:03:46 | 只看該作者
Book 2017traffic volume, coverage, and complexity over the last three decades. In this book, we develop a coherent theory of congestion control from the ground up to help understand and design these algorithms. We model network traffic as fluids that flow from sources to destinations and model congestion con
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發(fā)表于 2025-3-23 05:46:27 | 只看該作者
Local Stability with Delay, closed-loop system. Global stability of nonlinear systems in the presence of feedback delay is generally very difficult. Our goal is more modest: we will study local stability around the equilibrium point in the presence of feedback delay using a linearized model.
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