Max Plus at work : (Record no. 81268)
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control field | ocn891400521 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | OCoLC |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20220908100034.0 |
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fixed length control field | m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
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fixed length control field | 140829t20062006njua ob 001 0 eng d |
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
LC control number | 2005048690 |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | E7B |
Language of cataloging | eng |
Description conventions | rda |
-- | pn |
Transcribing agency | E7B |
Modifying agency | OCLCO |
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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 |
Source of number or code | doi |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
OCLC library identifier | AU@ |
System control number | 000054659497 |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
OCLC library identifier | CHBIS |
System control number | 010896058 |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
OCLC library identifier | CHVBK |
System control number | 483393711 |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
OCLC library identifier | DEBBG |
System control number | BV042524177 |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
OCLC library identifier | DEBBG |
System control number | BV043112817 |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
OCLC library identifier | DEBBG |
System control number | BV043611266 |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
OCLC library identifier | DEBBG |
System control number | BV043782999 |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
OCLC library identifier | DEBBG |
System control number | BV044069702 |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
OCLC library identifier | DEBSZ |
System control number | 415193656 |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
OCLC library identifier | DEBSZ |
System control number | 415420970 |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
OCLC library identifier | DEBSZ |
System control number | 429956754 |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
OCLC library identifier | DEBSZ |
System control number | 445582596 |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
OCLC library identifier | DEBSZ |
System control number | 446780375 |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
OCLC library identifier | GBVCP |
System control number | 1003789358 |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
OCLC library identifier | DKDLA |
System control number | 820120-katalog:999933849405765 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (OCoLC)891400521 |
Canceled/invalid control number | (OCoLC)888743942 |
-- | (OCoLC)894732211 |
-- | (OCoLC)961660739 |
-- | (OCoLC)962720611 |
-- | (OCoLC)990525947 |
-- | (OCoLC)992864364 |
-- | (OCoLC)1055389964 |
-- | (OCoLC)1066493068 |
-- | (OCoLC)1181901429 |
-- | (OCoLC)1228602065 |
-- | (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) | 64220 |
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 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Place of production, publication, distribution, manufacture | Princeton, New Jersey ; |
-- | Oxfordshire, England : |
Name of producer, publisher, distributor, manufacturer | Princeton University Press, |
Date of production, publication, distribution, manufacture, or copyright notice | 2006. |
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Date of production, publication, distribution, manufacture, or copyright notice | �2006 |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 1 online resource (226 pages) : |
Other physical details | illustrations |
336 ## - CONTENT TYPE | |
Content type term | text |
Content type code | txt |
Source | rdacontent |
337 ## - MEDIA TYPE | |
Media type term | computer |
Media type code | c |
Source | rdamedia |
338 ## - CARRIER TYPE | |
Carrier type term | online resource |
Carrier type code | cr |
Source | rdacarrier |
347 ## - DIGITAL FILE CHARACTERISTICS | |
File type | text file |
Encoding format | |
Source | rda |
490 1# - SERIES STATEMENT | |
Series statement | Princeton Series in Applied Mathematics |
504 ## - BIBLIOGRAPHY, ETC. NOTE | |
Bibliography, etc. note | Includes bibliographical references and index. |
588 0# - SOURCE OF DESCRIPTION NOTE | |
Source of description note | 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 | IEEE |
Provenance (VM) [OBSOLETE] | IEEE Xplore Princeton University Press eBooks Library |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Matrices |
Form subdivision | Textbooks. |
9 (RLIN) | 64221 |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | System theory |
Form subdivision | Textbooks. |
9 (RLIN) | 64222 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | MATHEMATICS |
General subdivision | Algebra |
-- | Intermediate. |
Source of heading or term | bisacsh |
9 (RLIN) | 64159 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | MATHEMATICS |
General subdivision | Algebra |
-- | General. |
Source of heading or term | bisacsh |
9 (RLIN) | 64223 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Matrices. |
Source of heading or term | fast |
Authority record control number or standard number | (OCoLC)fst01012399 |
9 (RLIN) | 2259 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | System theory. |
Source of heading or term | fast |
Authority record control number or standard number | (OCoLC)fst01141423 |
9 (RLIN) | 3409 |
655 #0 - INDEX TERM--GENRE/FORM | |
Genre/form data or focus term | Electronic books. |
9 (RLIN) | 3294 |
655 #4 - INDEX TERM--GENRE/FORM | |
Genre/form data or focus term | Electronic books. |
9 (RLIN) | 3294 |
655 #7 - INDEX TERM--GENRE/FORM | |
Genre/form data or focus term | Textbooks. |
Source of term | fast |
Authority record control number or standard number | (OCoLC)fst01423863 |
9 (RLIN) | 8664 |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Olsder, Geert Jan, |
Relator term | author. |
9 (RLIN) | 64224 |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Woude, J. W. van der, |
Relator term | author. |
9 (RLIN) | 64225 |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Relationship information | 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. |
9 (RLIN) | 64226 |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | <a href="https://ieeexplore.ieee.org/servlet/opac?bknumber=9452689">https://ieeexplore.ieee.org/servlet/opac?bknumber=9452689</a> |
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