Bernd Heidergott's Books

Max Plus at Work

Modeling and Analysis of Synchronized Systems: A Course on Max-Plus Algebra and Its Applications

By: Bernd Heidergott,Geert Jan Olsder,Jacob van der Woude

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Max Plus at Work

Modeling and Analysis of Synchronized Systems: A Course on Max-Plus Algebra and Its Applications

By: Bernd Heidergott,Geert Jan Olsder,Jacob van der Woude

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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Page Count

226

Publisher

Princeton University Press

Published Date

ISBN 10

1400865239

ISBN 13

9781400865239

Max-Plus Linear Stochastic Systems and Perturbation Analysis

By: Bernd F. Heidergott

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Max-Plus Linear Stochastic Systems and Perturbation Analysis

By: Bernd F. Heidergott

This book provides a thorough review and explanation of the theory of stochastic max-plus linear systems, which has seen rapid advances in the last decade. The coverage includes modeling issues and stability theory for stochastic max-plus systems, perturbation analysis of max-plus systems, developing a calculus for differentiation of max-plus systems. This leads to numerical evaluations of performance indices of max-plus linear stochastic systems, such as the Lyapunov exponent or waiting times.

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Page Count

324

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387389954

ISBN 13

9780387389950

Max Plus at Work

Modeling and Analysis of Synchronized Systems: A Course on Max-Plus Algebra and Its Applications

By: Bernd Heidergott,Geert Jan Olsder,Jacob van der Woude

Write a review Read reviews Take a Quiz Solve Book Puzzle

Max Plus at Work

Modeling and Analysis of Synchronized Systems: A Course on Max-Plus Algebra and Its Applications

By: Bernd Heidergott,Geert Jan Olsder,Jacob van der Woude

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

226

Publisher

Princeton University Press

Published Date

ISBN 10

1400865239

ISBN 13

9781400865239

Book's by Bernd Heidergott

Max Plus at Work

Max Plus at Work

Max-Plus Linear Stochastic Systems and Perturbation Analysis

Max-Plus Linear Stochastic Systems and Perturbation Analysis

Max Plus at Work

Max Plus at Work

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