LEADER 00783nam0-22002891i-450- 001 990000064190403321 005 20071015105722.0 035 $a000006419 035 $aFED01000006419 035 $a(Aleph)000006419FED01 035 $a000006419 100 $a20020821d1928----km-y0itay50------ba 101 0 $afre 105 $ay-------001yy 200 1 $aAérodynamique des ailes d'avion$fE. Carafoil 210 $aParis$cE. Chiron$d1928 215 $a116 p.$cill.$d28 cm 610 0 $aAli$aAerodinamica 676 $a629.134 3 700 1$aCarafoil,$bElie$0332192 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990000064190403321 952 $a13 F 16 07$b7791$fFINBC 959 $aFINBC 996 $aAérodynamique des ailes d'avion$9111413 997 $aUNINA LEADER 04287nam 2200673 450 001 9910812330103321 005 20200520144314.0 010 $a1-4008-6523-9 024 7 $a10.1515/9781400865239 035 $a(CKB)3710000000222323 035 $a(EBL)1756201 035 $a(OCoLC)888743942 035 $a(SSID)ssj0001333348 035 $a(PQKBManifestationID)11994073 035 $a(PQKBTitleCode)TC0001333348 035 $a(PQKBWorkID)11378260 035 $a(PQKB)11559358 035 $a(DE-B1597)447653 035 $a(OCoLC)1013941314 035 $a(OCoLC)922667379 035 $a(DE-B1597)9781400865239 035 $a(Au-PeEL)EBL1756201 035 $a(CaPaEBR)ebr10910139 035 $a(CaONFJC)MIL637582 035 $a(MiAaPQ)EBC1756201 035 $a(EXLCZ)993710000000222323 100 $a20140829h20062006 uy 0 101 0 $aeng 135 $aur|nu---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aMax Plus at work $emodeling and analysis of synchronized systems : a course on Max-Plus algebra and its applications /$fBernd Heidergott, Geert Jan Olsder, Jacob van der Woude 210 1$aPrinceton, New Jersey ;$aOxfordshire, England :$cPrinceton University Press,$d2006. 210 4$d©2006 215 $a1 online resource (226 p.) 225 1 $aPrinceton Series in Applied Mathematics 300 $aDescription based upon print version of record. 311 $a1-322-06331-1 311 $a0-691-11763-2 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tContents --$tPreface --$tChapter Zero. Prolegomenon --$tPART I. Max-Plus Algebra --$tChapter One. Max-Plus Algebra --$tChapter Two. Spectral Theory --$tChapter Three. Periodic Behavior and the Cycle-Time Vector --$tChapter Four. Asymptotic Qualitative Behavior --$tChapter Five. Numerical Procedures for Eigenvalues of Irreducible Matrices --$tChapter Six. A Numerical Procedure for Eigenvalues of Reducible Matrices --$tPART II. Tools and Applications --$tChapter Seven. Petri Nets --$tChapter Eight. The Dutch Railway System Captured in a Max-Plus Model --$tChapter Nine. Delays, Stability Measures, and Results for the Whole Network --$tChapter Ten. Capacity Assessment --$tPART III. Extensions --$tChapter Eleven. Stochastic Max-Plus Systems --$tChapter Twelve. Min-Max-Plus Systems and Beyond --$tChapter Thirteen. Continuous and Synchronized Flows on Networks --$tBibliography --$tList of Symbols --$tIndex 330 $aTrains pull into a railroad station and must wait for each other before leaving again in order to let passengers change trains. How do mathematicians then calculate a railroad timetable that accurately reflects their comings and goings? One approach is to use max-plus algebra, a framework used to model Discrete Event Systems, which are well suited to describe the ordering and timing of events. This is the first textbook on max-plus algebra, providing a concise and self-contained introduction to the topic. Applications of max-plus algebra abound in the world around us. Traffic systems, computer communication systems, production lines, and flows in networks are all based on discrete even systems, and thus can be conveniently described and analyzed by means of max-plus algebra. The book consists of an introduction and thirteen chapters in three parts. Part One explores the introduction of max-plus algebra and of system descriptions based upon it. Part Two deals with a real application, namely the design of timetables for railway networks. Part Three examines various extensions, such as stochastic systems and min-max-plus systems. The text is suitable for last-year undergraduates in mathematics, and each chapter provides exercises, notes, and a reference section. 410 0$aPrinceton series in applied mathematics. 606 $aMatrices$vTextbooks 606 $aSystem theory$vTextbooks 615 0$aMatrices 615 0$aSystem theory 676 $a512 700 $aHeidergott$b Bernd$0760528 702 $aOlsder$b Geert Jan 702 $aWoude$b J. W. van der 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910812330103321 996 $aMax Plus at work$94089987 997 $aUNINA