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Synchronization and Linearity: An Algebra for Discrete Event Systems
Posted on 2010-04-07
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More Francois Louis Baccelli, Guy Cohen, Geert Jan Olsder, Jean-Pierre Quadrat, "" 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, Petri nets 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. The mathematical theory developed in this book finds its initial motivation in the modeling and the analysis of the time behavior of a class of dynamic systems now often referred to as ‘discrete event (dynamic) systems’ (DEDS). This class essentially contains man-made systems that consist of a finite number of resources (processors or memories, communication channels, machines) shared by several users (jobs, packets, manufactured objects) which all contribute to the achievement of some common goal (a parallel computation, the end-to-end transmission of a set of packets, the assembly of a product in an automated manufacturing line). The coordination of the user access to these resources requires complex control mechanisms which usually make it impossible to describe the dynamic behavior of such systems in terms of differential equations, as in physical phenomena. The dynamics of such systems can in fact be described using the two (Petri net like) paradigms of ‘synchronization’ and ‘concurrency’. Synchronization requires the availability of several resources or users at the same time, whereas concurrency appears for instance when, at a certain time, some user must choose among several resources.... Download Not all books on / appear on the homepage. In order not to miss many of them follow Download Link (Ebooks section) (see top of each page on AH) and visit too :)
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