简介:Aweightofevidenceisacalibratedstatisticwhosevaluesin[0,1]indicatethedegreeofagreementbetweenthedataandeitheroftwohypothesis,onebeingtreatedasthenull(H0)andtheotherasthealternative(H1).Avalueofzeromeansperfectagreementwiththenull,whereasavalueofonemeansperfectagreementwiththealternative.Theoptimalityweconsiderisminimalmeansquarederror(MSE)underthealternativewhilekeepingtheMSEunderthenullbelowafixedbound.Thispaperstudiessuchstatisticsfromaconditionalpointofview,inparticularforlocationandscalemodels.
简介:Thispaperpresentsonoptimizedmethodforfactoringmultivariatepolynomialsoveralgebraicextensionfieldsdefinedbyanirreducibleascendingset.Thebasicideaistoconvertmultivariatepolynomialstounivariatepolynomialsandalgebraicextensionfieldstoalgebraicnumberfieldsbysuitableintegersubstituteions.Thenfactorizetheunivariatepolynomialsoverthealgebraicnumberfields.Finally,constructmulativariatefactorsoftheoriginalpolynomialbyHensellemmaandTRUEFACTORtest.Someexampleswithtimingareincluded.
简介:Considerasystemcontainingatypeofndevices.Eachdeviceconsistsofmparts.Givenmnpartsforndeviceswithdifferentworkingprobabilities,howdowegroupthemintondevicessuchthatthesystemismostreliable.Amonotonicgroupingmeansthatthebestpartsareputtogether,thenthebestremainingpartsareputtogether,etc..Asufficientandnecessaryconditionforsuchgroupingbeingoptimalwillbegiveninthispaper.Asanapplication,weshowthatthemonotonicgroupingisoptimalforthetwo-stagek-out-of-nsystem.Whenm=2,wealsostudythegroupingthatthebestpairstotheworst,thesecondbestpairstothesecondworst,etc.,associatedwitharedundantdeviceproblem.
简介:Weconsideramathematicalmodelwhichdescribesacontactbetweenadeformablebodyandafoundation.ThecontactisbilateralandmodelledwithTresca’sfrictionlaw.Thegoalofthispaperistostudyanoptimalcontrolproblemwhichconsistsofleadingthestresstensorascloseaspossibletoagiventarget,byactingwithacontrolontheboundaryofthebody.Westateanoptimalcontrolproblemwhichadmitsatleastonesolution.Wealsointroducetheregularizedcontrolproblemforwhichwestudytheconvergencewhentheregularizationparametertendstozero.Finally,anoptimallyconditionisestablishedforthisproblem.
简介:Specklefilteringofsyntheticapertureradar(SAR)imageswhilepreservingthespatialsignalvariability(textureandfinestructures)stillremainsachallenge.ManyalgorithmshavebeenproposedfortheSARimagerydespeckling.However,simulatedannealing(SA)methodisoneofexcellentchoicescurrently.AcriticalprobleminthestudyonSAistoprovideappropriatecoolingschedulesthatensurefastconvergencetonear-optimalsolutions.Thispapergivesanewnecessaryandsufficientconditionforthecoolingschedulesothatthealgorithmstateconvergesinallprobabilitytothesetofgloballyminimumcoststates.Moreover,itconstructsanappropriateobjectivefunctionforSARimagedespeckling.AnexperimentalresultoftheactualSARimageprocessingisobtained.
简介:Forthepurposeofsolvingoptimalcontrolproblemofawall-crawlingmobilerobotworkingonsphericalcontainers,weproposetheHamel'sformalismforPontryaginMaximumPrinciple,whichgivesageneralframeworkfortheoptimalcontrolofamechanicalsystemwithvelocityconstraints,especiallynonholonomicconstraints.Theeffectivenessoftheproposedframeworkisshownbythesimulationsfortheaboveproblem.
简介:Acouplingframeofspeedgainandmaintainwassuggestedtoassesstheflightperformanceofhypersoniccruisevehicles(HCV).Theoptimalcruisespeedwasobtainedbyanalyzingtheflightperformancemeasuredbytheratioofinitialboostmasstogeneralizedpayload.TheperformanceofHCVsbasedonrocketsandair-breathingramjetswasstudiedandcomparedtothatofaminimum-energyballistictrajectoryunderacertainflightdistance.Itisconcludedthatrocket-basedHCVsflyingattheoptimalspeedar...
简介:Energytransmissionefficiencyinthemagneticpulsegeneratorsvarieswithsaturatedtimeofmagneticswitch.Anoptimalmatchingtimeexistsanddependsonthecompressionratio,underwhich,theenergytransmissionefficiencycanreachapproximate100%.Theequationofrequiredmagneticcorevolumeisobtainedbytakenintoaccounttheoptimalmatchingmode.Itindicatesthatagreatreductiononthevolumeisfeasibleundertheoptimalmatchingmode.Thecircuitsimulationcode-PSPICEisalsointroducedtosimulatea3-stagemagneticpulsecompressor,andtheresultsareinaccordancewiththoseofequivalentcircuitanalyses.
简介:Binarysigneddigitrepresentation(BSD-R)ofanintegeriswidelyusedincomputerarithmetic,cryptographyanddigitalsignalprocessing.ThispaperstudieswhattheexactnumberofoptimalBSD-Rofanintegerisandhowtogeneratethementirely.WealsoshowwhichkindsofintegershavethemaximumnumberofoptimalBSD-Rs.
简介:Thispaperstudiesaservicefirmwhosebusinesstimecanbedividedintoseveralperiods,eachprovidingdifferentvaluetocustomers.Heterogeneousserviceisamajorreasonresultinginimbalancesbetweensupplyanddemand.Sincecustomersdifferintheirdegreeofimpatience,firmscanusedifferentialpricingmechanismstooptimizetheirobjectivesandmatchsupplywithdemandineachperiod,byinducingcustomerstochoosedifferentperiods.Westudytwotypesoffirms,aninternalfirm,theobjectiveofwhichistomaximizethesystem′s(includingthefirmandallthecustomers)totalnetvalue,andacommercialfirm,whichaimstooptimizeitsownprofit.Thoughimpatiencefactorsarecustomers′privateinformation,foreachtypeoffirm,wederivetheoptimalincentivecompatiblepricingpolicy,underwhichallthecomingcustomerswillfollowthefirm′sassignment,thatis,patientcustomerswillbuytheserviceinhigh-valueperiods,buttheirwaitingtimewillbelonger,whileimpatientcustomerswillenterintothelow-valueperiods,buttheywillbecompensatedbyshorterwaitingtimes.Furthermore,intheinternalfirm,wealsoprovethatthismechanismenablesthedecentralizationofdecisions,whilemaintainingcentralizedsystem-wideoptimality.Numericalanalysisshowsthatwhenthereissufficientcapacity,theinternalfirmdoesnotalwaysneedtosetlowerpricesthanthecommercialfirmineveryperiod.
简介:Inordertoformanemergencycontrolpolicytablequickly,thispaperproposesafastalgorithmofemergencycontrolnamed'micro-stepdiscretemethod',whichisbasedonthephysicalmeaningofthegradientandthediscretecharacteristicsofemergencycontrol.Thenitisimprovedthroughthestabilitycriterion,integralstep,andmicro-stepfactor.Thispapertakesgenerator-sheddingastheemergencycontrolmeasures.Astheoptimalgenerator-sheddingcontrolisessentiallyanoptimalcontrolproblemandthegenerator-sheddingvariablesarealwaysconstant,itisconvenienttousethecontrolparameteralgorithmtosolvetheproblem,whichcancalculatethegradientofthetransientstabilityfunctiontocontrolvariables.
简介:Thispaperproposesanovelexemplar-basedmethodforreducingnoiseincomputedtomography(CT)images.Intheproposedmethod,denoisingisperformedoneachblockwiththehelpofagivendatabaseofstandardimageblocks.Foreachnoisyblock,itsdenoisedversionisthebestsparsepositivelinearcombinationoftheblocksinthedatabase.Weformulatetheproblemasaconstrainedoptimizationproblemsuchthatthesolutionisthedenoisedblock.Experimentalresultsdemonstratethegoodperformanceoftheproposedmethodovercurrentstate-of-the-artdenoisingmethods,intermsofbothobjectiveandsubjectiveevaluations.