Max Plus at work : modeling and analysis of synchronized systems : a course on Max-Plus algebra and its applications /

Mostrar otras versiones (2)

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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Heidergott, Bernd (Autor), Olsder, Geert Jan (Autor), Woude, J. W. van der (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, New Jersey ; Oxfordshire, England : Princeton University Press, 2006.
Colección:Princeton series in applied mathematics.
Temas:
Matrices > Textbooks.
System theory > Textbooks.
MATHEMATICS > Algebra > Intermediate.
MATHEMATICS > Algebra > General.
Matrices
System theory
Textbooks
Acceso en línea:Texto completo

MARC

LEADER 00000cam a2200000 i 4500
001 EBOOKCENTRAL_ocn891400521
003 OCoLC
005 20240329122006.0
006 m o d
007 cr cn|||||||||
008 140829t20062006njua ob 001 0 eng d
040 |a E7B  |b eng  |e rda  |e pn  |c E7B  |d OCLCO  |d YDXCP  |d EBLCP  |d N$T  |d DEBSZ  |d JSTOR  |d OCLCF  |d DEBBG  |d OCLCQ  |d COO  |d OCLCQ  |d UIU  |d AGLDB  |d MOR  |d CCO  |d PIFAG  |d ZCU  |d MERUC  |d OCLCQ  |d IOG  |d U3W  |d EZ9  |d STF  |d VTS  |d ICG  |d INT  |d VT2  |d OCLCQ  |d WYU  |d G3B  |d LVT  |d TKN  |d OCLCQ  |d DKC  |d OCLCQ  |d UKAHL  |d OCLCQ  |d AJS  |d IEEEE  |d OCLCO  |d M8D  |d OCLCQ  |d OCLCO  |d OCLCL 
019 |a 888743942  |a 894732211  |a 961660739  |a 962720611  |a 990525947  |a 992864364  |a 1055389964  |a 1066493068  |a 1181901429  |a 1228602065  |a 1259090356 
020 |a 9781400865239  |q (e-book) 
020 |a 1400865239  |q (e-book) 
020 |a 0691117632 
020 |a 9780691117638 
024 7 |a 10.1515/9781400865239  |2 doi 
029 1 |a AU@  |b 000054659497 
029 1 |a CHBIS  |b 010896058 
029 1 |a CHVBK  |b 483393711 
029 1 |a DEBBG  |b BV042524177 
029 1 |a DEBBG  |b BV043112817 
029 1 |a DEBBG  |b BV043611266 
029 1 |a DEBBG  |b BV043782999 
029 1 |a DEBBG  |b BV044069702 
029 1 |a DEBSZ  |b 415193656 
029 1 |a DEBSZ  |b 415420970 
029 1 |a DEBSZ  |b 429956754 
029 1 |a DEBSZ  |b 445582596 
029 1 |a DEBSZ  |b 446780375 
029 1 |a GBVCP  |b 1003789358 
035 |a (OCoLC)891400521  |z (OCoLC)888743942  |z (OCoLC)894732211  |z (OCoLC)961660739  |z (OCoLC)962720611  |z (OCoLC)990525947  |z (OCoLC)992864364  |z (OCoLC)1055389964  |z (OCoLC)1066493068  |z (OCoLC)1181901429  |z (OCoLC)1228602065  |z (OCoLC)1259090356 
037 |a 22573/ctt767xw5  |b JSTOR 
037 |a 9452689  |b IEEE 
050 4 |a QA188  |b .H445 2006eb 
072 7 |a MAT  |x 002040  |2 bisacsh 
072 7 |a MAT002000  |2 bisacsh 
082 0 4 |a 512  |2 22 
049 |a UAMI 
100 1 |a Heidergott, Bernd,  |e author. 
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, New Jersey ;  |a Oxfordshire, England :  |b Princeton University Press,  |c 2006. 
264 4 |c ©2006 
300 |a 1 online resource (226 pages) :  |b illustrations 
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 
347 |b PDF 
490 1 |a Princeton Series in Applied Mathematics 
504 |a Includes bibliographical references and index. 
588 0 |a Print version record. 
505 0 |a Cover; Title; Copyright; Contents; Preface; Chapter 0. Prolegomenon; 0.1 Introductory Example; 0.2 On the Notation; 0.3 On Eigenvalues and Eigenvectors; 0.4 Some Modeling Issues; 0.5 Counter and Dater Descriptions; 0.6 Exercises; 0.7 Notes; PART I. MAX-PLUS ALGEBRA; Chapter 1. Max-Plus Algebra; 1.1 Basic Concepts and Definitions; 1.2 Vectors and Matrices; 1.3 A First Max-Plus Model; 1.4 The Projective Space; 1.5 Exercises; 1.6 Notes; Chapter 2. Spectral Theory; 2.1 Matrices and Graphs; 2.2 Eigenvalues and Eigenvectors; 2.3 Solving Linear Equations; 2.4 Exercises; 2.5 Notes. 
505 8 |a Chapter 3. Periodic Behavior and the Cycle-Time Vector3.1 Cyclicity and Transient Time; 3.2 The Cycle-Time Vector: Preliminary Results; 3.3 The Cycle-Time Vector: General Results; 3.4 A Sunflower Bouquet; 3.5 Exercises; 3.6 Notes ; Chapter 4. Asymptotic Qualitative Behavior; 4.1 Periodic Regimes; 4.2 Characterization of the Eigenspace; 4.3 Primitive Matrices; 4.4 Limits in the Projective Space; 4.5 Higher-Order Recurrence Relations; 4.6 Exercises; 4.7 Notes; Chapter 5. Numerical Procedures for Eigenvalues of Irreducible Matrices; 5.1 Karp''s Algorithm; 5.2 The Power Algorithm; 5.3 Exercises. 
505 8 |a 5.4 NotesChapter 6. A Numerical Procedure for Eigenvalues of Reducible Matrices; 6.1 Howard''s Algorithm; 6.2 Examples; 6.3 Howard''s Algorithm for Higher-Order Models; 6.4 Exercises; 6.5 Notes; PART II. TOOLS AND APPLICATIONS; Chapter 7. Petri Nets; 7.1 Petri Nets and Event Graphs; 7.2 The Autonomous Case; 7.3 The Nonautonomous Case; 7.4 Exercises; 7.5 Notes; Chapter 8. The Dutch Railway System Captured in a Max-Plus Model; 8.1 The Line System; 8.2 Construction of the Timed Event Graph; 8.3 State Space Description; 8.4 Application of Howard''s Algorithm; 8.5 Exercises; 8.6 Notes. 
505 8 |a Chapter 9. Delays, Stability Measures, and Results for the Whole Network9.1 Propagation of Delays; 9.2 Results for the Whole Dutch Intercity Network; 9.3 Other Modeling Issues ; 9.4 Exercises; 9.5 Notes; Chapter 10. Capacity Assessment; 10.1 Capacity Assessment with Different Types of Trains; 10.2 Capacity Assessment for a Series of Tunnels; 10.3 Exercises; 10.4 Notes; PART III. EXTENSIONS; Chapter 11. Stochastic Max-Plus Systems; 11.1 Basic Definitions and Examples; 11.2 The Subadditive Ergodic Theorem; 11.3 Matrices with Fixed Support; 11.4 Beyond Fixed Support; 11.5 Exercises; 11.6 Notes. 
505 8 |a Chapter 12. Min-Max-Plus Systems and Beyond12.1 Min-Max-Plus Systems; 12.2 Links to Other Mathematical Areas; 12.3 Exercises; 12.4 Notes; Chapter 13. Continuous and Synchronized Flows on Networks; 13.1 Dater and Counter Descriptions; 13.2 Continuous Flows without Capacity Constraints; 13.3 Continuous Flows with Capacity Constraints; 13.4 Exercises; 13.5 Notes; Bibliography; List of Symbols; Index. 
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, compu. 
546 |a In English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
590 |a JSTOR  |b Books at JSTOR Demand Driven Acquisitions (DDA) 
650 0 |a Matrices  |v Textbooks. 
650 0 |a System theory  |v Textbooks. 
650 7 |a MATHEMATICS  |x Algebra  |x Intermediate.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Algebra  |x General.  |2 bisacsh 
650 7 |a Matrices  |2 fast 
650 7 |a System theory  |2 fast 
655 7 |a Textbooks  |2 fast 
700 1 |a Olsder, Geert Jan,  |e author. 
700 1 |a Woude, J. W. van der,  |e author. 
758 |i has work:  |a Max Plus at Work: Modeling and Analysis of Synchronized Systems: A Course on Max-Plus Algebra and Its Applications (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCXfHtchYtDhKfBr6fbMrjd  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Heidergott, Bernd.  |t Max Plus at work : modeling and analysis of synchronized systems : a course on Max-Plus algebra and its applications.  |d Princeton, New Jersey ; Oxfordshire, England : Princeton University Press, ©2006  |h xi, 213 pages  |k Princeton series in applied mathematics.  |z 9780691117638 
830 0 |a Princeton series in applied mathematics. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1756201  |z Texto completo 
936 |a BATCHLOAD 
938 |a Askews and Holts Library Services  |b ASKH  |n AH28074047 
938 |a EBL - Ebook Library  |b EBLB  |n EBL1756201 
938 |a ebrary  |b EBRY  |n ebr10910139 
938 |a EBSCOhost  |b EBSC  |n 818436 
938 |a YBP Library Services  |b YANK  |n 12040952 
994 |a 92  |b IZTAP 

Ejemplares similares