Synchronization and linearity: An algebra for discrete event systems




Author: Francois Louis Baccelli, Geert Jan Olsder, Guy Cohen, Jean-Pierre Quadrat
Type: eBook
Date Released: 1993
Format: pdf
Language: English
Page Count: 501
Isbn10 Code: 047193609X
Isbn13 Code: 9780471936091


This text presents new modelling and analysis techniques for the description of discrete event dynamic systems, emphasizing timing and synchronization aspects. The volume begins with a study of the areas of applications and relationships between graph theory, petri nets and algebras. It then goes on to discuss deterministic discrete event systems, stochastic discrete event systems and open problems. This class of synchronized system finds its main current industrial applications in the modelling, optimization and control of communications networks and architectures, as well as manufacturing systems. From the Publisher Lays the foundation of a discrete event system theory which is shown to parallel the classical linear system theory. Commences with a focus upon areas of applications and relationships between graph theory, Petrinets and algebras followed by deterministic discrete event systems. The third part deals with stochastic discrete event systems. Concludes with open problems. Created within the text is a calculus which allows the derivation of analytical tools for computing the time behavior of this type of dynamic system.

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