By Bernd Heidergott
Trains pull right into a railroad station and needs to watch for one another earlier than leaving back so one can allow passengers swap trains. How do mathematicians then calculate a railroad timetable that safely displays their comings and goings? One technique is to exploit max-plus algebra, a framework used to version Discrete occasion structures, that are like minded to explain the ordering and timing of occasions. this can be the 1st textbook on max-plus algebra, offering a concise and self-contained creation to the topic.
Applications of max-plus algebra abound on this planet round us. site visitors platforms, computing device verbal exchange structures, construction traces, and flows in networks are all in response to discrete even platforms, and therefore may be with ease defined and analyzed through max-plus algebra.
The e-book contains an advent and 13 chapters in 3 elements. half One explores the creation of max-plus algebra and of process descriptions established upon it. half bargains with a true program, specifically the layout of timetables for railway networks. half 3 examines numerous extensions, akin to stochastic structures and min-max-plus platforms. The textual content is appropriate for last-year undergraduates in arithmetic, and every bankruptcy offers workouts, notes, and a reference section.
Read Online or Download Max Plus at Work: Modeling and Analysis of Synchronized Systems: A Course on Max-Plus Algebra and Its Applications (Princeton Series in Applied Mathematics) PDF
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