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.
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 mo...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Series in Applied Mathematics eBook-Package |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2014] ©2006 |
| Year of Publication: | 2014 |
| Language: | English |
| Series: | Princeton Series in Applied Mathematics ;
48 |
| Online Access: | |
| Physical Description: | 1 online resource (224 p.) :; 9 halftones. 36 line illus. |
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Table of Contents:
- Frontmatter
- Contents
- Preface
- Chapter Zero. Prolegomenon
- PART I. Max-Plus Algebra
- Chapter One. Max-Plus Algebra
- Chapter Two. Spectral Theory
- Chapter Three. Periodic Behavior and the Cycle-Time Vector
- Chapter Four. Asymptotic Qualitative Behavior
- Chapter Five. Numerical Procedures for Eigenvalues of Irreducible Matrices
- Chapter Six. A Numerical Procedure for Eigenvalues of Reducible Matrices
- PART II. Tools and Applications
- Chapter Seven. Petri Nets
- Chapter Eight. The Dutch Railway System Captured in a Max-Plus Model
- Chapter Nine. Delays, Stability Measures, and Results for the Whole Network
- Chapter Ten. Capacity Assessment
- PART III. Extensions
- Chapter Eleven. Stochastic Max-Plus Systems
- Chapter Twelve. Min-Max-Plus Systems and Beyond
- Chapter Thirteen. Continuous and Synchronized Flows on Networks
- Bibliography
- List of Symbols
- Index