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1、ComputersandChemicalEngineering30(2006)913946ReviewState-of-the-artreviewofoptimizationmethodsforshort-termschedulingofbatchprocessesCarlosA.Mendez´a,JaimeCerda´b,IgnacioE.Grossmanna,∗,IiroHarjunkoskic,MarcoFahlcaDepartmentofChemicalEngineering,CarnegieMellonUniversity,Pittsburgh,USAbINTEC(UNL-C
2、ONICET),G¨uemes3450,3000SantaFe,ArgentinacABBCorporateResearchCenter,Ladenburg,GermanyReceived30June2005;receivedinrevisedform24January2006;accepted9February2006Availableonline17April2006AbstractTherehasbeensignificantprogressintheareaofshort-termschedulingofbatchprocesses,includingthesolutionofi
3、ndustrial-sizedproblems,inthelast20years.Themaingoalofthispaperistoprovideanup-to-datereviewofthestate-of-the-artinthischallengingarea.Mainfeatures,strengthsandlimitationsofexistingmodelingandoptimizationtechniquesaswellasotheravailablemajorsolutionmethodsareexaminedthroughthispaper.Wefirstpresen
4、tageneralclassificationforschedulingproblemsofbatchprocessesaswellasforthecorrespondingoptimizationmodels.Subse-quently,themodelingofrepresentativeoptimizationapproachesforthedifferentproblemtypesareintroducedindetail,focusingonbothdiscreteandcontinuoustimemodels.Acomparisonofeffectivenessandeffic
5、iencyofthesemodelsisgivenfortwobenchmarkingexamplesfromthelitera-ture.Wealsodiscusstworeal-worldapplicationsofschedulingproblemsthatcannotbereadilyaccommodatedusingexistingmethods.Forthesakeofcompleteness,otheralternativesolutionmethodsappliedinthefieldofschedulingarealsoreviewed,followedbyadiscu
6、ssionrelatedtosolvinglarge-scaleproblemsthroughrigorousoptimizationapproaches.Finally,welistavailableacademicandcommercialsoftware,andbrieflyaddresstheissueofreschedulingcapabilitiesofthevariousoptimizationapproachesaswellasimportantextensionsthatgobeyondshort-termbatchscheduling.©2006ElsevierLtd
7、.Allrightsreserved.Keywords:Short-termscheduling;Optimizationmodels;Batchprocesses;MILPContentsIntroduction............................................................................................................9141.Clas