000			04909nam a22004933i 4500
001			EBC1756201
003			MiAaPQ
005			20240729122939.0
006			m o d |
007			cr cnu||||||||
008			240724s2005 xx o ||||0 eng d
020			_a9781400865239 _q(electronic bk.)
020			_z9780691117638
035			_a(MiAaPQ)EBC1756201
035			_a(Au-PeEL)EBL1756201
035			_a(CaPaEBR)ebr10910139
035			_a(CaONFJC)MIL637582
035			_a(OCoLC)888743942
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA188 _b.H445 2006
100	1		_aHeidergott, Bernd.
245	1	0	_aMax Plus at Work : _bModeling and Analysis of Synchronized Systems: a Course on Max-Plus Algebra and Its Applications.
250			_a1st ed.
264		1	_aPrinceton : _bPrinceton University Press, _c2005.
264		4	_c©2006.
300			_a1 online resource (226 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aPrinceton Series in Applied Mathematics Series ; _vv.48
505	0		_aCover -- 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 -- Chapter 3. Periodic Behavior and the Cycle-Time Vector -- 3.1 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 -- 5.4 Notes -- Chapter 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.
505	8		_a8.5 Exercises -- 8.6 Notes -- Chapter 9. Delays, Stability Measures, and Results for the Whole Network -- 9.1 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 -- Chapter 12. Min-Max-Plus Systems and Beyond -- 12.1 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			_aNo detailed description available for "Max Plus at Work".
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aMatrices.
655		4	_aElectronic books.
700	1		_aOlsder, Geert Jan.
700	1		_avan der Woude, Jacob.
776	0	8	_iPrint version: _aHeidergott, Bernd _tMax Plus at Work _dPrinceton : Princeton University Press,c2005 _z9780691117638
797	2		_aProQuest (Firm)
830		0	_aPrinceton Series in Applied Mathematics Series
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=1756201 _zClick to View
999			_c38920 _d38920