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07539cam a2200961Mi 4500 |
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ocn891400521 |
003 - CONTROL NUMBER IDENTIFIER |
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OCoLC |
005 - DATE AND TIME OF LATEST TRANSACTION |
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20220711235426.0 |
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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140829t20062006njua ob 001 0 eng d |
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
LC control number |
2005048690 |
040 ## - CATALOGING SOURCE |
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E7B |
Language of cataloging |
eng |
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019 ## - |
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888743942 |
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961660739 |
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992864364 |
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1055389964 |
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1066493068 |
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1181901429 |
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1228602065 |
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1259090356 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781400865239 |
Qualifying information |
(e-book) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
1400865239 |
Qualifying information |
(e-book) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
0691117632 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780691117638 |
024 7# - OTHER STANDARD IDENTIFIER |
Standard number or code |
10.1515/9781400865239 |
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doi |
029 1# - (OCLC) |
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AU@ |
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000054659497 |
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CHBIS |
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010896058 |
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483393711 |
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BV042524177 |
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BV043112817 |
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BV043611266 |
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BV043782999 |
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BV044069702 |
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415193656 |
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429956754 |
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445582596 |
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DEBSZ |
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446780375 |
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GBVCP |
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1003789358 |
029 1# - (OCLC) |
OCLC library identifier |
DKDLA |
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820120-katalog:999933849405765 |
035 ## - SYSTEM CONTROL NUMBER |
System control number |
(OCoLC)891400521 |
Canceled/invalid control number |
(OCoLC)888743942 |
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(OCoLC)894732211 |
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(OCoLC)961660739 |
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(OCoLC)962720611 |
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(OCoLC)990525947 |
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(OCoLC)992864364 |
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(OCoLC)1055389964 |
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(OCoLC)1066493068 |
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(OCoLC)1181901429 |
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(OCoLC)1228602065 |
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(OCoLC)1259090356 |
037 ## - SOURCE OF ACQUISITION |
Stock number |
22573/ctt767xw5 |
Source of stock number/acquisition |
JSTOR |
037 ## - SOURCE OF ACQUISITION |
Stock number |
9452689 |
Source of stock number/acquisition |
IEEE |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA188 |
Item number |
.H445 2006eb |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
MAT |
Subject category code subdivision |
002040 |
Source |
bisacsh |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
MAT002000 |
Source |
bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512 |
Edition number |
22 |
049 ## - LOCAL HOLDINGS (OCLC) |
Holding library |
MAIN |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Heidergott, Bernd, |
Relator term |
author. |
9 (RLIN) |
592952 |
245 10 - TITLE STATEMENT |
Title |
Max Plus at work : |
Remainder of title |
modeling and analysis of synchronized systems : a course on Max-Plus algebra and its applications / |
Statement of responsibility, etc |
Bernd Heidergott, Geert Jan Olsder, Jacob van der Woude. |
264 #1 - |
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Princeton, New Jersey ; |
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Oxfordshire, England : |
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Princeton University Press, |
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2006. |
264 #4 - |
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©2006 |
300 ## - PHYSICAL DESCRIPTION |
Extent |
1 online resource (226 pages) : |
Other physical details |
illustrations |
336 ## - |
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text |
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txt |
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rdacontent |
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computer |
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rdamedia |
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online resource |
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rdacarrier |
347 ## - |
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text file |
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PDF |
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rda |
490 1# - SERIES STATEMENT |
Series statement |
Princeton Series in Applied Mathematics |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references and index. |
588 0# - |
-- |
Print version record. |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
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# - FORMATTED CONTENTS NOTE |
Formatted contents note |
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# - FORMATTED CONTENTS NOTE |
Formatted contents note |
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# - FORMATTED CONTENTS NOTE |
Formatted contents note |
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# - FORMATTED CONTENTS NOTE |
Formatted contents note |
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 ## - SUMMARY, ETC. |
Summary, etc |
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 ## - LANGUAGE NOTE |
Language note |
In English. |
590 ## - LOCAL NOTE (RLIN) |
Local note |
eBooks on EBSCOhost |
Provenance (VM) [OBSOLETE] |
EBSCO eBook Subscription Academic Collection - Worldwide |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Matrices |
Form subdivision |
Textbooks. |
9 (RLIN) |
1029623 |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
System theory |
Form subdivision |
Textbooks. |
9 (RLIN) |
1029624 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
MATHEMATICS |
General subdivision |
Algebra |
-- |
Intermediate. |
Source of heading or term |
bisacsh |
9 (RLIN) |
856638 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
MATHEMATICS |
General subdivision |
Algebra |
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General. |
Source of heading or term |
bisacsh |
9 (RLIN) |
867001 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Matrices. |
Source of heading or term |
fast |
-- |
(OCoLC)fst01012399 |
9 (RLIN) |
190649 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
System theory. |
Source of heading or term |
fast |
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(OCoLC)fst01141423 |
655 #0 - INDEX TERM--GENRE/FORM |
Genre/form data or focus term |
Electronic books. |
655 #4 - INDEX TERM--GENRE/FORM |
Genre/form data or focus term |
Electronic books. |
655 #7 - INDEX TERM--GENRE/FORM |
Genre/form data or focus term |
Textbooks. |
Source of term |
fast |
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(OCoLC)fst01423863 |
9 (RLIN) |
38976 |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Olsder, Geert Jan, |
Relator term |
author. |
9 (RLIN) |
592953 |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Woude, J. W. van der, |
Relator term |
author. |
9 (RLIN) |
1029625 |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Print version: |
Main entry heading |
Heidergott, Bernd. |
Title |
Max Plus at work : modeling and analysis of synchronized systems : a course on Max-Plus algebra and its applications. |
Place, publisher, and date of publication |
Princeton, New Jersey ; Oxfordshire, England : Princeton University Press, ©2006 |
Physical description |
xi, 213 pages |
Series data for related item |
Princeton series in applied mathematics. |
International Standard Book Number |
9780691117638 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
Uniform title |
Princeton series in applied mathematics. |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=818436">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=818436</a> |
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Askews and Holts Library Services |
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AH28074047 |
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818436 |
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