Ordinal optimization: Difference between revisions

Revision as of 01:35, 20 June 2017

Revision as of 20:38, 20 June 2017

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{{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|year=1994|pages=xiv+297|isbn=0-471-58041-4|mr=1266839 }}</ref><ref>{{cite book|author1=Baccelli, François Louis |author2=Cohen, Guy |author3=Olsder, Geert Jan |author4=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|author1=Heidergott, Bernd |author2=Oldser, Geert Jan |author3=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 |isbn=0-691-11763-2. {{isbn|0-691-11763-2}}|mr=2188299 }}</ref>

== See also ==

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|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|year=1994|pages=xiv+297|isbn=0-471-58041-4|mr=1266839}}

* {{cite book|author1=Heidergott, Bernd |author2=Oldser, Geert Jan |author3=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 |isbn=0-691-11763-2. {{isbn|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|978-1-85233-069-9}}