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1、“Destination”choiceismoregenerallylocationchoice.“Multiclass”isreferringto4step andotheraggregatemodelswithhouseholdsegmentations.Thisisnotreallyaboutaninnovation,butaboutapplicationofawellestablishedmodelconcept.Thepurposeofattractionconstraintsinlocationchoicemodels.Constrainedattractionshavelongb
2、eenjustifiedaxiomatically(employmentisgiven),byequilibriumtheories(thefreechoicesofshopperssustaintheobservedretailemployment),ordatafusion(trafficcounts,tripgenerationestimates).Locationsandamountsofemploymentbyindustryoroccupationareseldomderivedfromanyonescommutepreferences,butfromproximitytocust
3、omers,supplies,shipping,etc.Multinomial logit(mostcommonbutnottheonlykind).Ifsharesorvolumesofchoiceofthealternativesaregiven,ratherthanpredicted,thenmustsolveanendogenousattributeforeach,usuallyanalternativespecificconstant(ASC).Shadowpricesrepresentunobservedmarketclearingforces.Endogenous ASCshav
4、eauniquesolution.IPFandtheequivalentlogarithmicadjustmentarewellknown,simpletoapply,androbust.TherearedifferentmethodstosolvefortheASCsolution.TheseincludeNewtonRaphson(asinAlogit andsimilarestimation),butthisisinfeasiblewithhundredsorthousandsofalternatives.Thereareimprovedlargeproblemsolutions one
5、tobementionedlater.Shadowpriceupdateisexactlythesameasrecalibratingalternativespecificconstants.SomeIPFapplicationsadjustmatrix elementsdirectly,insteadoffactors(butthisshufflesmorestorageandaccumulatesroundofferror.)Veryfewhavereportedtoinvestigateconstraintasahypothesistoteststatistically.ThedePal
6、mastudyaccountedforprice,andfoundtheobservedpricesinsufficienttoexplainmarketclearing.Bernardin usedageneticalgorithm agoodchoiceforrobustnessforlackofyetknowngradientorcurvatureoflikelihood.Presentedatthe2014InnovationsinTravelModelingconference.MyrecentpaperinTRR2677(5)identifiedthegradientandthem