简介：Withtheexplicitconsiderationofuserheterogeneity,i.e.,eachuserhasadifferentvalueoftime(VOT),thispaperexaminesthesystemefficiencyandsocialequityoftollrevenueredistributioninabi-modetransportationsystem.Threeschemesofdistributingtheroadtollrevenueareproposed,whichrespectivelyconsiderefficiency,equity,aswellasefficiencyandequitytogether.Withmildassumptions,weprovethatthenumberofauto-motoristsdecreasesandthetotalsocialcostincreaseswithtransitsubsidysharewhenonlymarginaloperatingcostofthetransitiscoveredbyitsfare.However,whenaveragefixedcostofthetransitisfurthercovered,thetotalsocialcostisa'U'shapecurveagainstthetransitsubsidyshare.Numericalresultsshowthatthewelldesignedtollrevenueredistributionschemescanmakethesystemmoreequitablewhilekeepinghighefficiency.Withtheincreaseofuserheterogeneity,theGinicoefficientbecomeslargerwhilethetotalsocialcostgoesdown.

简介：Thetraditionaluser-optimalassignmentmodelassumedthatthetrafficinformationisperfect,howerver,thelinktravelcostisAlwaysuncertainorfuzzyinrealsituations.ThepapergivesamodifiedFrank-Wolfemethodforfuzzyuser-optimalroutechoiceproblem.Theshortest-pathalgorithminF-Wissolvedbyanorderrelation(FSA)methodbetweenfuzzytravelcosts.Theresultsofasimpleexampleshowthatthemethodispractical.

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