


Max Plus at Work: 
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 maxplus 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 maxplus algebra, providing a concise and selfcontained introduction to the topic. Applications of maxplus 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 maxplus algebra. The book consists of an introduction and thirteen chapters in three parts. Part One explores the introduction of maxplus 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 minmaxplus systems. The text is suitable for lastyear undergraduates in mathematics, and each chapter provides exercises, notes, and a reference section. "Max Plus at Work is the best English textbook for learning eigenvector eigenvalues and the asymptotic regime of maxplus 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 maxplus algebra."Bart De Schutter, Delft University of Technology Link: Series:
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