简介:Asanresearchexampleofthewidelyexistingcooperation-competitionsystems,theauthorspresentanempiricalinvestigationonafruitnutritivefactornetwork.Itisdescribedbyanode-weightedbipartitegraph.Thefruitnutritivefactorsaredefinedasthenodes,andtwonodesareconnectedbyanedgeifatleastonefruitcontainsthesetwonutritivefactors.Thefruitsaredefinedasthecollaborationacts.Thenode-weightW_(nt),whichsignifiesthe'importancedegree'ofeachactornode,isdefinedasthecontentofanutritivefactorinafruit.Theempiricalinvestigationresultsshowsomeuniquefeatures.Thenode-weightdistributionstakeso-called'shiftedpowerlaw'functionforms,buttheact-weightdistributiontakesanormalform.Thedegreeandact-degreedistributionsshowimpulsive-spectrumlikeforms.Theseobservationsmaybehelpfulforthestudyoffruits.Thenetworkdescriptionmethodproposedinthisarticlemaybeuniversalforakindofcooperation-competitionsystems.
简介:Inthispaper,weusethecontractionprincipleandtheLeray-SchauderprincipletodealwiththeexistenceofperiodicsolutionsoftheVolterraintegraldifferentialequation.Somenewexistencecriteriaanduniqueexistencecriteriaareobtained.
简介:Inthispaper,rankfactorizationsandfactorleftprimefactorizationsarestudied.Theauthorsprovethatanypolynomialmatrixwithfullrowrankhasfactorleftprimefactorizations.Andforaclassofpolynomialmatrices,theauthorsgiveanalgorithmtodecidewhethertheyhaverankfactorizationsorfactorleftprimefactorizationsandcomputethesefactorizationsiftheyexist.
简介:Thispaperpresentsastudyontheperformanceofflexiblemanufacturingsystems(FMSs),byusingdiscreteeventsystem(DES)models,consideringresourcelossesmodelledbyaparameterentitledcoveragefactor.WeconcludethattheresourcescelllossdistributionbetweenthetasksofaFSMisarealfunctionthatcannotbeintegrated,inordertocalculateitsprimitive,intheclassicalsenseofRiemannorLebesgue,butonlyinthesenseofHenstock-Kurzweilintegral.Ourresultallowsonetostudymoregeneralprocesseswherehighlyoscillatoryfunctionsoccur.Themethodusedtodeducethefunctiondescribingtheresourcescelllossdistributioniscomparedwithaclassicalmethodrelatedintheliterature,respectivelyrationalinterpolants.Anexamplehasbeenconstructedtoemphasizewhatwebelievetobe,newapproaches.
简介:Inthispaper,wegiveanorder-preserving,isometricandisomorphicembeddingoperatorfromthefuzzynumberspaceE~1toaclassicalBanachspaceandshowsomenecessaryandsufficientintegrabilityconditionsoffuzzyintegralswhichweredefinedbyM.MatlokaandO.Kalevabymeansofsuchanoperator.