| Max Plus at Work: Modeling and Analysis of Synchronized Systems: A Course on Max-Plus Algebra and Its Applications Contributor(s): Heidergott, Bernd (Author), Olsder, Geert Jan (Author), Van Der Woude, Jacob (Author) |
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ISBN: 0691117632 ISBN-13: 9780691117638 Publisher: Princeton University Press OUR PRICE: $90.25 Product Type: Hardcover - Other Formats Published: November 2005 Annotation: ""Max Plus at Work" is the best English textbook for learning eigenvector eigenvalues and the asymptotic regime of max-plus systems."--J. P. Quadrat, Director of Research, International Research Institute "This book is very accessible, providing many examples and a clear road map for learning about max-plus algebra."--Bart De Schutter, Delft University of Technology |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - General |
| Dewey: 512 |
| LCCN: 2005048690 |
| Series: Princeton Series in Applied Mathematics (Hardcover) |
| Physical Information: 0.8" H x 6.36" W x 9.52" (1.01 lbs) 224 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |