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Max Plus at Work: Modeling And Analysis of Synchronized Systems: a Course on Max-plus Algebra And Its Applications - Couverture rigide

Livre 24 sur 33: Princeton Series in Applied Mathematics

Heidergott, Bernd; Olsder, Geert Jan; Van Der Woude, Jacob

 
9780691117638: Max Plus at Work: Modeling And Analysis of Synchronized Systems: a Course on Max-plus Algebra And Its Applications
Couverture rigide
ISBN 10 : 0691117632 ISBN 13 : 9780691117638
Editeur : Princeton University Press, 2005

Synopsis

Trains pull into a railroad station and must wait for each other before leaving again in order to let passengers change trains. How do mathematicians then calculate a railroad timetable that accurately reflects their comings and goings? One approach is to use max-plus algebra, a framework used to model Discrete Event Systems, which are well suited to describe the ordering and timing of events. This is the first textbook on max-plus algebra, providing a concise and self-contained introduction to the topic.

Applications of max-plus algebra abound in the world around us. Traffic systems, computer communication systems, production lines, and flows in networks are all based on discrete even systems, and thus can be conveniently described and analyzed by means of max-plus algebra.

The book consists of an introduction and thirteen chapters in three parts. Part One explores the introduction of max-plus algebra and of system descriptions based upon it. Part Two deals with a real application, namely the design of timetables for railway networks. Part Three examines various extensions, such as stochastic systems and min-max-plus systems. The text is suitable for last-year undergraduates in mathematics, and each chapter provides exercises, notes, and a reference section.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Bernd Heidergott is Associate Professor of Mathematics and Statistics at Vrije Universiteit, Amsterdam. He is a research fellow of the Tinbergen Institute. Geert Jan Olsder is Professor of Mathematical System Theory and Deputy Vice-Chancellor at Delft University of Technology. Jacob van der Woude is Associate Professor of Mathematical System Theory at Delft University of Technology.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Princeton University Press
Date d'édition
2005
Langue
anglais
ISBN 10 
0691117632
ISBN 13 
9780691117638
Reliure
Relié
Nombre de pages
224
Coordonnées du fabricant
Princeton University Press
https://press.princeton.edu/books

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