Max plus at work: modeling and analysis of synchronized systems:a course on max-plus algebra and its applications
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
[2005]
|
| Schriftenreihe: | Princeton series in applied mathematics
|
| Schlagworte: | |
| Online-Zugang: | TUM01 Volltext |
| 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 |
| Beschreibung: | 1 Online-Ressource (224p.) |
| ISBN: | 9781400865239 |
| DOI: | 10.1515/9781400865239 |
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| 500 | |a 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 | ||
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| author | Heidergott, Bernd Olsder, Geert Jan Woude, Jacob W. van der 1956- |
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| author_facet | Heidergott, Bernd Olsder, Geert Jan Woude, Jacob W. van der 1956- |
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| discipline | Bauingenieurwesen Mathematik Verkehrstechnik |
| doi_str_mv | 10.1515/9781400865239 |
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| id | DE-604.BV042524177 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:24:04Z |
| institution | BVB |
| isbn | 9781400865239 |
| language | English |
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| publishDate | 2005 |
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| publisher | Princeton University Press |
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| series2 | Princeton series in applied mathematics |
| spelling | Heidergott, Bernd Verfasser aut Max plus at work modeling and analysis of synchronized systems:a course on max-plus algebra and its applications Bernd Heidergott, Geert Jan Olsder, Jacob van der Woude Princeton, N.J. Princeton University Press [2005] 1 Online-Ressource (224p.) txt rdacontent c rdamedia cr rdacarrier Princeton series in applied mathematics 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 In English Mathematik Matrices / Textbooks System theory / Textbooks MATHEMATICS / Algebra / Intermediate bisacsh MATHEMATICS / Algebra / General bisacsh Matrices System theory Diskretes Ereignissystem (DE-588)4196828-1 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 s Numerisches Verfahren (DE-588)4128130-5 s Diskretes Ereignissystem (DE-588)4196828-1 s 1\p DE-604 Olsder, Geert Jan Verfasser (DE-588)171061055 aut Woude, Jacob W. van der 1956- Verfasser (DE-588)170790746 aut https://doi.org/10.1515/9781400865239 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Heidergott, Bernd Olsder, Geert Jan Woude, Jacob W. van der 1956- Max plus at work modeling and analysis of synchronized systems:a course on max-plus algebra and its applications Mathematik Matrices / Textbooks System theory / Textbooks MATHEMATICS / Algebra / Intermediate bisacsh MATHEMATICS / Algebra / General bisacsh Matrices System theory Diskretes Ereignissystem (DE-588)4196828-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Matrix Mathematik (DE-588)4037968-1 gnd |
| subject_GND | (DE-588)4196828-1 (DE-588)4128130-5 (DE-588)4037968-1 |
| title | Max plus at work modeling and analysis of synchronized systems:a course on max-plus algebra and its applications |
| title_auth | Max plus at work modeling and analysis of synchronized systems:a course on max-plus algebra and its applications |
| title_exact_search | Max plus at work modeling and analysis of synchronized systems:a course on max-plus algebra and its applications |
| title_full | Max plus at work modeling and analysis of synchronized systems:a course on max-plus algebra and its applications Bernd Heidergott, Geert Jan Olsder, Jacob van der Woude |
| title_fullStr | Max plus at work modeling and analysis of synchronized systems:a course on max-plus algebra and its applications Bernd Heidergott, Geert Jan Olsder, Jacob van der Woude |
| title_full_unstemmed | Max plus at work modeling and analysis of synchronized systems:a course on max-plus algebra and its applications Bernd Heidergott, Geert Jan Olsder, Jacob van der Woude |
| title_short | Max plus at work |
| title_sort | max plus at work modeling and analysis of synchronized systems a course on max plus algebra and its applications |
| title_sub | modeling and analysis of synchronized systems:a course on max-plus algebra and its applications |
| topic | Mathematik Matrices / Textbooks System theory / Textbooks MATHEMATICS / Algebra / Intermediate bisacsh MATHEMATICS / Algebra / General bisacsh Matrices System theory Diskretes Ereignissystem (DE-588)4196828-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Matrix Mathematik (DE-588)4037968-1 gnd |
| topic_facet | Mathematik Matrices / Textbooks System theory / Textbooks MATHEMATICS / Algebra / Intermediate MATHEMATICS / Algebra / General Matrices System theory Diskretes Ereignissystem Numerisches Verfahren Matrix Mathematik |
| url | https://doi.org/10.1515/9781400865239 |
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