Revision as of 00:46, 2 September 2011 edit Headbomb (talk \| contribs) Edit filter managers, Autopatrolled, Extended confirmed users, Page movers, File movers, New page reviewers, Pending changes reviewers, Rollbackers, Template editors 473,742 edits m Various citation cleanup (identifiers mostly), replaced: \|id={{MR\|1921556}} → \|mr=1921556 (8) using AWB ← Previous edit		Revision as of 05:23, 8 May 2012 edit undo Helpful Pixie Bot (talk \| contribs) Bots 571,497 edits m ISBNs (Build KE) Next edit →
Line 102: {{See also\|Antimatroid\|Max-plus algebra\|Flow network\|Queuing theory\|Discrete event simulation}} Since the 1960s, the field of ordinal optimization has expanded in theory and in applications. In particular, [[antimatroid]]s and the "[[max-plus algebra]]" have found application in [[flow network\|network analysis]] and [[queuing theory]], particularly in queuing networks and [[discrete event simulation\|discrete-event systems]].<ref>{{ cite book\| last1=Glasserman\|first1=Paul\|last2=Yao\|first2=David D.\|title=Monotone structure in discrete-event systems\|series=Wiley Series in Probability and Mathematical Statistics: Applied Probability and Statistics\|publisher=John Wiley & Sons, Inc.\|___location=New York\|1994\|pages=xiv+297\|isbn=0-471-58041-4\|mr=1266839 }}</ref><ref>{{ cite book\|author=Baccelli, François Louis; Cohen, Guy; Olsder, Geert Jan; Quadrat, Jean-Pierre\|title=Synchronization and linearity: An algebra for discrete event systems\|series=Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics\|publisher=John Wiley & Sons, Ltd.\|___location=Chichester\|year=1992\|pages=xx+489\|isbn=0-471-93609-X \|mr=1204266 }}</ref><ref>{{ cite book\|author=Heidergott, Bernd; Oldser, Geert Jan; van der Woude, Jacob\|title=Max plus at work: Modeling and analysis of synchronized systems, a course on max-plus algebra and its applications\|series=Princeton Series in Applied Mathematics\|publisher=Princeton University Press\|___location=Princeton, NJ\|year=2006\|pages=xii+213\|isbn=978-0-691-11763-8, 0-691-11763-2, 0-691-11763-2\|mr=2188299 }}</ref> == See also == Line 126: * Zimmermann, U. ''Linear and combinatorial optimization in ordered algebraic structures''. Ann. Discrete Math. 10 (1981), viii+380 pp. <!-- MR0609751 --> * Cuninghame-Green, Raymond ''Minimax algebra''. Lecture Notes in Economics and Mathematical Systems, 166. Springer-Verlag, Berlin-New York, 1979. xi+258 pp. ISBN 3-540-09113-0 <!-- MR0580321 --> * {{ cite book\|author=Baccelli, François Louis; Cohen, Guy; Olsder, Geert Jan; Quadrat, Jean-Pierre\|title=Synchronization and linearity: An algebra for discrete event systems\|series=Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics\|publisher=John Wiley & Sons, Ltd.\|___location=Chichester\|year=1992\|pages=xx+489\|isbn=0-471-93609-X \|mr=1204266}} * {{ cite book\| last1=Glasserman\|first1=Paul\|last2=Yao\|first2=David D.\|title=Monotone structure in discrete-event systems\|series=Wiley Series in Probability and Mathematical Statistics: Applied Probability and Statistics\|publisher=John Wiley & Sons, Inc.\|___location=New York\|1994\|pages=xiv+297\|isbn=0-471-58041-4\|mr=1266839}} * {{ cite book\|author=Heidergott, Bernd; Oldser, Geert Jan; van der Woude, Jacob\|title=Max plus at work: Modeling and analysis of synchronized systems, a course on max-plus algebra and its applications\|series=Princeton Series in Applied Mathematics\|publisher=Princeton University Press\|___location=Princeton, NJ\|year=2006\|pages=xii+213\|isbn=978-0-691-11763-8, 0-691-11763-2, 0-691-11763-2\|mr=2188299}} * [[Yu-Chi Ho\|Ho, Y.C.]], Sreenivas, R., Vakili, P.,"Ordinal Optimization of Discrete Event Dynamic Systems", J. of DEDS 2(2), 61-88, (1992). * Allen, Eric, and Marija D. Ilic. ''Price-Based Commitment Decisions in the Electricity Market''. Advances in industrial control. London: Springer, 1999. ISBN ~~9781852330699~~978-1-85233-069-9 == External links ==

Ordinal optimization: Difference between revisions