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...
Saved in:
| Superior document: | Title is part of eBook package: De Gruyter Princeton Series in Applied Mathematics eBook-Package |
|---|---|
| VerfasserIn: | |
| 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. |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| LEADER | 05322nam a22007815i 4500 | ||
|---|---|---|---|
| 001 | 9781400865239 | ||
| 003 | DE-B1597 | ||
| 005 | 20220131112047.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr || |||||||| | ||
| 008 | 220131t20142006nju fo d z eng d | ||
| 019 | |a (OCoLC)1013941314 | ||
| 020 | |a 9781400865239 | ||
| 024 | 7 | |a 10.1515/9781400865239 |2 doi | |
| 035 | |a (DE-B1597)447653 | ||
| 035 | |a (OCoLC)922667379 | ||
| 040 | |a DE-B1597 |b eng |c DE-B1597 |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a nju |c US-NJ | ||
| 050 | 4 | |a QA188 .H445 2014 | |
| 072 | 7 | |a MAT002000 |2 bisacsh | |
| 082 | 0 | 4 | |a 512 |
| 100 | 1 | |a Heidergott, Bernd, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Max Plus at Work : |b Modeling and Analysis of Synchronized Systems: A Course on Max-Plus Algebra and Its Applications / |c Bernd Heidergott, Geert Jan Olsder, Jacob van der Woude. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2014] | |
| 264 | 4 | |c ©2006 | |
| 300 | |a 1 online resource (224 p.) : |b 9 halftones. 36 line illus. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Princeton Series in Applied Mathematics ; |v 48 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Preface -- |t Chapter Zero. Prolegomenon -- |t PART I. Max-Plus Algebra -- |t Chapter One. Max-Plus Algebra -- |t Chapter Two. Spectral Theory -- |t Chapter Three. Periodic Behavior and the Cycle-Time Vector -- |t Chapter Four. Asymptotic Qualitative Behavior -- |t Chapter Five. Numerical Procedures for Eigenvalues of Irreducible Matrices -- |t Chapter Six. A Numerical Procedure for Eigenvalues of Reducible Matrices -- |t PART II. Tools and Applications -- |t Chapter Seven. Petri Nets -- |t Chapter Eight. The Dutch Railway System Captured in a Max-Plus Model -- |t Chapter Nine. Delays, Stability Measures, and Results for the Whole Network -- |t Chapter Ten. Capacity Assessment -- |t PART III. Extensions -- |t Chapter Eleven. Stochastic Max-Plus Systems -- |t Chapter Twelve. Min-Max-Plus Systems and Beyond -- |t Chapter Thirteen. Continuous and Synchronized Flows on Networks -- |t Bibliography -- |t List of Symbols -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a 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. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) | |
| 650 | 0 | |a Matrices |v Textbooks. | |
| 650 | 0 | |a Matrices |x Textbooks. | |
| 650 | 0 | |a System theory |v Textbooks. | |
| 650 | 0 | |a System theory |x Textbooks. | |
| 650 | 7 | |a MATHEMATICS / Algebra / General. |2 bisacsh | |
| 700 | 1 | |a Olsder, Geert Jan, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a van der Woude, Jacob, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Series in Applied Mathematics eBook-Package |z 9783110515831 |o ZDB-23-PAM |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Backlist 2000-2013 |z 9783110442502 |
| 776 | 0 | |c print |z 9780691117638 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9781400865239 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9781400865239 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9781400865239/original |
| 912 | |a 978-3-11-044250-2 Princeton University Press eBook-Package Backlist 2000-2013 |c 2000 |d 2013 | ||
| 912 | |a EBA_BACKALL | ||
| 912 | |a EBA_CL_MTPY | ||
| 912 | |a EBA_EBACKALL | ||
| 912 | |a EBA_EBKALL | ||
| 912 | |a EBA_ECL_MTPY | ||
| 912 | |a EBA_EEBKALL | ||
| 912 | |a EBA_ESTMALL | ||
| 912 | |a EBA_PPALL | ||
| 912 | |a EBA_STMALL | ||
| 912 | |a GBV-deGruyter-alles | ||
| 912 | |a PDA12STME | ||
| 912 | |a PDA13ENGE | ||
| 912 | |a PDA18STMEE | ||
| 912 | |a PDA5EBK | ||
| 912 | |a ZDB-23-PAM | ||