Publication

A note on Time and Space Methods in Network Calculus

Jean-Yves Le Boudec, Patrick Thiran
1998
Conference Papers

Abstract

We model some lossless queuing systems arising in guaranteed service networks as non-linear min-plus systems that can be bounded by linear systems. We introduce the distinction between space and time methods for such systems. Space methods are related to min-plus system theory, while time methods borrow from dynamic programming and exploit the causality of the operators. We apply this to the window flow control problem previously studied by Cruz and Okino

Official source

https://infoscience.epfl.ch/entities/publication/11277887-20c9-4396-8266-bd66aad5766d

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Jean-Yves Le Boudec, Patrick Thiran
1998
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/11277887-20c9-4396-8266-bd66aad5766d

About this result

Related concepts (32)

Dynamical systems theory

Dynamical systems theory is an area of mathematics used to describe the behavior of complex dynamical systems, usually by employing differential equations or difference equations. When differential equations are employed, the theory is called continuous dynamical systems. From a physical point of view, continuous dynamical systems is a generalization of classical mechanics, a generalization where the equations of motion are postulated directly and are not constrained to be Euler–Lagrange equations of a least action principle.

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In systems theory, a linear system is a mathematical model of a system based on the use of a linear operator. Linear systems typically exhibit features and properties that are much simpler than the nonlinear case. As a mathematical abstraction or idealization, linear systems find important applications in automatic control theory, signal processing, and telecommunications. For example, the propagation medium for wireless communication systems can often be modeled by linear systems.

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