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.
eBook - PDF
Max Plus at Work
Modeling and Analysis of Synchronized Systems: A Course on Max-Plus Algebra and Its Applications
- 226 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Max Plus at Work
Modeling and Analysis of Synchronized Systems: A Course on Max-Plus Algebra and Its Applications
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Table of contents
- Cover
- Title
- Copyright
- Contents
- Preface
- Chapter 0. Prolegomenon
- PART I. MAX-PLUS ALGEBRA
- PART II. TOOLS AND APPLICATIONS
- PART III. EXTENSIONS
- Bibliography
- List of Symbols
- Index
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Yes, you can access Max Plus at Work by Bernd Heidergott,Geert Jan Olsder,Jacob van der Woude in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over 1.5 million books available in our catalogue for you to explore.