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Author: Bernd Heidergott
Publisher: Princeton University Press
ISBN: 9780691117638
Category : Mathematics
Languages : en
Pages : 230
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Book Description
Max-plus algebra provides a mathematical framework for modelling a class of systems which describe the ordering and timing of events. This text provides a concise and self-contained introduction to the topic.
Author: Bernd Heidergott
Publisher: Princeton University Press
ISBN: 9780691117638
Category : Mathematics
Languages : en
Pages : 230
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Book Description
Max-plus algebra provides a mathematical framework for modelling a class of systems which describe the ordering and timing of events. This text provides a concise and self-contained introduction to the topic.
Author: Bernd Heidergott
Publisher: Princeton University Press
ISBN: 1400865239
Category : Mathematics
Languages : en
Pages : 226
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Book 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.
Author: Max Tegmark
Publisher: Vintage
ISBN: 0307744256
Category : Science
Languages : en
Pages : 434
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Book Description
Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.
Author: Gethin Norman
Publisher: Springer
ISBN: 3319106961
Category : Computers
Languages : en
Pages : 435
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Book Description
This book constitutes the proceedings of the 11th International Conference on Quantitative Evaluation of Systems, QEST 2014, held in Florence, Italy, in September 2014. The 24 full papers and 5 short papers included in this volume were carefully reviewed and selected from 61 submissions. They are organized in topical sections named: Kronecker and product form methods; hybrid systems; mean field/population analysis; models and tools; simulation; queueing, debugging and tools; process algebra and equivalences; automata and Markov process theory; applications, theory and tools; and probabilistic model checking.
Author: Carla Seatzu
Publisher: Springer
ISBN: 1447142764
Category : Technology & Engineering
Languages : en
Pages : 488
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Book Description
Control of Discrete-event Systems provides a survey of the most important topics in the discrete-event systems theory with particular focus on finite-state automata, Petri nets and max-plus algebra. Coverage ranges from introductory material on the basic notions and definitions of discrete-event systems to more recent results. Special attention is given to results on supervisory control, state estimation and fault diagnosis of both centralized and distributed/decentralized systems developed in the framework of the Distributed Supervisory Control of Large Plants (DISC) project. Later parts of the text are devoted to the study of congested systems though fluidization, an over approximation allowing a much more efficient study of observation and control problems of timed Petri nets. Finally, the max-plus algebraic approach to the analysis and control of choice-free systems is also considered. Control of Discrete-event Systems provides an introduction to discrete-event systems for readers that are not familiar with this class of systems, but also provides an introduction to research problems and open issues of current interest to readers already familiar with them. Most of the material in this book has been presented during a Ph.D. school held in Cagliari, Italy, in June 2011.
Author: Peter Butkovič
Publisher: Springer Science & Business Media
ISBN: 1849962995
Category : Mathematics
Languages : en
Pages : 281
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Book Description
Recent years have seen a significant rise of interest in max-linear theory and techniques. Specialised international conferences and seminars or special sessions devoted to max-algebra have been organised. This book aims to provide a first detailed and self-contained account of linear-algebraic aspects of max-algebra for general (that is both irreducible and reducible) matrices. Among the main features of the book is the presentation of the fundamental max-algebraic theory (Chapters 1-4), often scattered in research articles, reports and theses, in one place in a comprehensive and unified form. This presentation is made with all proofs and in full generality (that is for both irreducible and reducible matrices). Another feature is the presence of advanced material (Chapters 5-10), most of which has not appeared in a book before and in many cases has not been published at all. Intended for a wide-ranging readership, this book will be useful for anyone with basic mathematical knowledge (including undergraduate students) who wish to learn fundamental max-algebraic ideas and techniques. It will also be useful for researchers working in tropical geometry or idempotent analysis.
Author: Dorothea Baumeister
Publisher: Springer Nature
ISBN: 3031206142
Category : Computers
Languages : en
Pages : 462
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Book Description
This book constitutes thoroughly refereed and revised selected papers from the proceedings of 19th European Conference on Multi-Agent Systems, EUMAS 2022, held in Düsseldorf, Germany, during September 14–16, 2022. The 23 full papers included in this book were carefully reviewed and selected from 36 submissions. The book also contains 6 short summaries of talks from PhD students at the PhD day. The papers deal with current topics in the research and development of multi-agent systems.
Author: Aitor Goti
Publisher: BoD – Books on Demand
ISBN: 953307115X
Category : Computers
Languages : en
Pages : 342
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Book Description
Considered by many authors as a technique for modelling stochastic, dynamic and discretely evolving systems, this technique has gained widespread acceptance among the practitioners who want to represent and improve complex systems. Since DES is a technique applied in incredibly different areas, this book reflects many different points of view about DES, thus, all authors describe how it is understood and applied within their context of work, providing an extensive understanding of what DES is. It can be said that the name of the book itself reflects the plurality that these points of view represent. The book embraces a number of topics covering theory, methods and applications to a wide range of sectors and problem areas that have been categorised into five groups. As well as the previously explained variety of points of view concerning DES, there is one additional thing to remark about this book: its richness when talking about actual data or actual data based analysis. When most academic areas are lacking application cases, roughly the half part of the chapters included in this book deal with actual problems or at least are based on actual data. Thus, the editor firmly believes that this book will be interesting for both beginners and practitioners in the area of DES.
Author: Markus Zusak
Publisher: Knopf Books for Young Readers
ISBN: 0385754728
Category : Young Adult Fiction
Languages : en
Pages : 578
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Book Description
#1 NEW YORK TIMES BESTSELLER • ONE OF TIME MAGAZINE’S 100 BEST YA BOOKS OF ALL TIME • A NEW YORK TIMES READER TOP 100 PICK FOR BEST BOOKS OF THE 21ST CENTURY The extraordinary, beloved novel about the ability of books to feed the soul even in the darkest of times. When Death has a story to tell, you listen. It is 1939. Nazi Germany. The country is holding its breath. Death has never been busier, and will become busier still. Liesel Meminger is a foster girl living outside of Munich, who scratches out a meager existence for herself by stealing when she encounters something she can’t resist–books. With the help of her accordion-playing foster father, she learns to read and shares her stolen books with her neighbors during bombing raids as well as with the Jewish man hidden in her basement. In superbly crafted writing that burns with intensity, award-winning author Markus Zusak, author of I Am the Messenger, has given us one of the most enduring stories of our time. “The kind of book that can be life-changing.” —The New York Times “Deserves a place on the same shelf with The Diary of a Young Girl by Anne Frank.” —USA Today DON’T MISS BRIDGE OF CLAY, MARKUS ZUSAK’S FIRST NOVEL SINCE THE BOOK THIEF.
Author: María Alpuente
Publisher: Springer Science & Business Media
ISBN: 3540691634
Category : Computers
Languages : en
Pages : 387
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Book Description
Static analysis is a research area aimed at developing principles and tools for veri?cation, certi?cation, semantics-based manipulation, and high-performance implementation of programming languages and systems. The series of Static Analysis symposia has served as the primary venue for presentation and disc- sion of theoretical, practical, and application advances in the area. This volume contains the papers accepted for presentation at the 15th Inter- tional Static Analysis Symposium (SAS 2008), which was held July 16–18, 2008, in Valencia, Spain. The previous SAS conferences were held in Kongens Lyngby, D- mark (2007), Seoul, South Korea (2006), London, UK (2005), Verona, Italy (2004), San Diego, USA (2003), Madrid, Spain (2002), Paris, France (2001), Santa B- bara, USA (2000), Venice, Italy (1999), Pisa, Italy (1998), Paris, France (1997), Aachen, Germany (1996), Glasgow, UK (1995), and Namur, Belgium (1994). In response to the call for papers, 63 contributions were submitted from 26 d- ferent countries. The Program Committee selected 22 papers, basing this choice on their scienti?c quality, originality, and relevance to the symposium. Each - per was reviewed by at least three Program Committee members or external r- erees. In addition to the contributed papers, this volume includes contributions by two outstanding invited speakers: Roberto Giacobazzi (Universit` a degli Studi di Verona) and Ben Liblit (University of Wisconsin-Madison). The resulting volume o?ers the reader a complete landscape of the research in this area.
