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Cover: 9780691117638 | Max Plus at Work | Jacob van der Woude | Buch | Englisch | 2005
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Max Plus at Work
Modeling and Analysis of Synchronized Systems: A Course on Max-Plus Algebra and Its Applications
Buch von Jacob van der Woude
Sprache: Englisch

79,70 €*

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Lieferzeit 2-3 Wochen

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Beschreibung
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.
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.
Über den Autor
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.
Details
Erscheinungsjahr: 2005
Fachbereich: Nachrichtentechnik
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 226
ISBN-13: 9780691117638
ISBN-10: 0691117632
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Woude, Jacob van der
Hersteller: Princeton University Press
Maße: 240 x 161 x 17 mm
Von/Mit: Jacob van der Woude
Erscheinungsdatum: 27.11.2005
Gewicht: 0,51 kg
preigu-id: 102299515
Über den Autor
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.
Details
Erscheinungsjahr: 2005
Fachbereich: Nachrichtentechnik
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 226
ISBN-13: 9780691117638
ISBN-10: 0691117632
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Woude, Jacob van der
Hersteller: Princeton University Press
Maße: 240 x 161 x 17 mm
Von/Mit: Jacob van der Woude
Erscheinungsdatum: 27.11.2005
Gewicht: 0,51 kg
preigu-id: 102299515
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