Holger Boche

Martin Schubert

This book develops a mathematical framework for modeling and optimizing interference-coupled multiuser systems. At the core of this framework is the concept of general interference functions, which provides a simple means of characterizing interdependencies between users. The entire analysis builds on the two core axioms scale-invariance and monotonicity. The proposed network calculus has its roots in power control theory and wireless communications. It adds theoretical tools for analyzing the typical behavior of interference-coupled networks. In this way it complements existing game-theoretic approaches. The framework should also be viewed in conjunction with optimization theory. There is a fruitful interplay between the theory of interference functions and convex optimization theory. By jointly exploiting the properties of interference functions, it is possible to design algorithms that outperform general-purpose techniques that only exploit convexity. The title “network calculus” refers to the fact that the theory of interference functions constitutes a generic theoretical framework for the analysis of interference coupled systems. Certain operations within the framework are “closed”, that is, combinations of interference functions are interference functions again. Also, certain properties are preserved under such operations. This, provides a methodology for analyzing different multiuser performance measures that can be expressed as interference functions or combinations of interference functions.

A General Framework for Interference Management and Network Utility Optimization

Interference Calculus

Ralf Plate

One notable feature of the epoch of Middle High German is that, in the research and teaching in this field, the transmission history, textual philology, historical linguistics and literary history are intrinsically linked. In over 30 essays dedicated to Kurt Gartner on his 75th birthday, older and younger colleagues in the field as a whole examine his many years of work in this area. The spectrum of themes of the contributions reflects the jubiliarian s diversity of interests and also provides a comprehensive insight into current research activities."

Beiträge zur Überlieferung, Sprache und Literatur : Festschrift für Kurt Gärtner zum 75. Geburtstag

Mittelhochdeutsch

One notable feature of the epoch of Middle High German is that, in the research and teaching in this field, the transmission history, textual philology, historical linguistics and literary history are intrinsically linked. In over 30 essays dedicated to Kurt Gärtner on his 75th birthday, older and younger colleagues in the field as a whole examine his many years of work in this area. The spectrum of themes of the contributions reflects the jubiliarian’s diversity of interests and also provides a comprehensive insight into current research activities.

Martin Schubert

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