An investigation of the value of minimizing objective functions over the efficient set in multiple criteria decision making with an application to the citrus rootstock selection problem in Florida PDF
Preview An investigation of the value of minimizing objective functions over the efficient set in multiple criteria decision making with an application to the citrus rootstock selection problem in Florida
MINTIHMEIZCIINTIGRNAUNSOMBUIJLRNETOVCIOEWTPTSIILSTTVETHIEOGCCAAKFRNTUIINTSOACEENPTRLPIIELOOACFINTCSIDTAOEHTNOCEIVIOESPNVRIRAOOTLNBTOULHEEEMMAOKEFIFINFNGICFILEONRTIDASET DONGYEUPLEE OFATHDEISUOSNFEIRVTTEHARETSIIROTENYQDUOPOICRRFTEEOSMRFEELNNOOTTFRESIDDPAFHTOIORLINOTTSHHOPEEPAHRGYTDRIEAGADRLUEAEFTUEOLFFSICLHLOMOELNT UNIVERSITYOFFLORIDA UNIVERSITYWTCORtflinS®® ACKNOWLEDGMENTS HaroldIwP.oulBdenlsoink.etoTehxeprgeusisdasnpceecioaflmtyhaandkvsistoor,myDra.dviHsaorro,ldDrP.. Benson,wasessentialtocompletionofthedissertation.It washispatienceandsupervisionthatkeptthisresearchand mycomImailtstoee:woulAdntlailkeMatjotheaxyp,resSselgcruaktiEtruednegutco,tChhearmleemsbeMrossso,f andChungyeeLee. Theyhavebeensourcesofcontinual gKuoiedhalnecrefoarndhiesnccoounrtaigneumaelnt.encoIuraaglesmoenwti.shtothankDr.G.J. IwishtothankMr.J.P.McClureforhisassistanceand Finally,Idedicatethisworktomyfamilyfortheir everlastingsupport CONTENTS X”hS,°aas,". HSi ofthe^niversLty^t^FloTid^in^Partial^FuitillmentIS?the MINTIHMEIZCIINTIGRNUASNOMBUJRILEONTCOWVITTIEPISTSLVTHTEEOIACGCNKAFRTUIASNITPECOETPLNRILEIOOICANCFTSAIDTTOEIHNOCOEVINEPSRVRITAOOTOLBNHLUEEEMMAOEKFFIIFNNIGCFILEONRTIDSAET By DONGYEUPLEE ta.cticWaellfyouannddtehfaftitohieen possibledifferencesintheefficiencyoftheSTEMmethodwhen usingthesolutionsobtainedfromtheBenson-Sayinheuristic tablemethod. CHAPTER INTRODUCTION Decisionmakingisaprocessbywhichanalternativeis selectedasbeing"preferred"fromamongasetof alternatives. Thedecisionprocessinvolvesamodel,ora logicalstructure,whichisasimplifiedrepresentationof reality.Thismodelorstructureenablesthedecisionmaker (DM)toimposesomesortofpreferenceuponthevariables icnovnoclevrendinginthethfeeasmiobdielli.tyofTahleterDnMatirveequcioruerssesinofformaacttiioonn andthemeanstoevaluatetheirrespectiveresults. The terminationoftheprocess,whichyieldsadecision,isthe selectionofaparticularalternative. oftentheselectionofanalternativeistheresultofa comparisionoftheworthoffeasiblealternatives. Inthis casethechoiceissimplytheselectionofthealternative withthegreatestworth.Itis,however,importanttonotice thatthecomparisionandresultingdecisionreflectthevalue structureoftheindividualdecisionmakeratthetimeofthe choice. Thisvaluestructurecanvaryfromindividualto individualandforthesameindividualfromtimetotime. Optimizationtheoryhasbeenintroducedtothedecision makingprocesswithregardtoboththedevelopmentand selectionofalternatives.Multicriteriaproblemshavebeen ofincreasinginteresttomanagementscientists,dueinpart totherealizationthatmanyproblems,particularlythoseof astrategicnature,andmoreparticularlythoseinthepublic sector,mustexplicitlyconsidermultiplecriteriaiftheyare toberesolvedwithtrulygooddecisions. Forexample,in privatebusiness,whileprofitmaximizationisstillavery importantobjective,today'sbusinessenvironmentrequires thatthebusinessmanagerseektheattainmentofother objectives,suchasgoodwill,energyconservation, environmentalprotection,improvedlaborrelations,observance ofsocialresponsibilities,andattentiontogovernment regulations,sometimeswithevenhigherpriortiesonthe noneconomicobjectives. Inthisdissertation,amultiplecriteriadecisionmaking modelisdevelopedinordertosearchforthebestcompromise solutiontothecitrusrootstockselectionprobleminFlorida. Webelievethatthemultiplecriteriadecisionmaking modeldevelopedinthisdissertationcouldhelpcitrusgrowers inFloridamakeasoundrootstockselectiondecision. Recently,someprogresshasbeenmadeinthetheoryand practiceofmultiplecriteriadecisionmaking. Anumberof differenttechniquesarepresentlyavailabletohelpdecision makershandlemultiplecriteriadecisionmakingproblemssuch . asthecitrusrootstockselectionprobleminFlorida. In practice,interactivemethodshaveproventobemosteffective ingenerating'good1compromisesolutionsformultiple criteriadecisionmakingproblems(Steuer,1986,p.4and p.361)Inthemultiplecriteriadecisionmakingproblem,minimum criterionvaluesovertheefficientset(definedinSection t1h.e2)carrieteorfionintvearleusetsionveorrdtehreteoffcihcaireanctterseitz.etheInrafnagcets,ofa numberofinteractivemethods(Benayoun,DeMontgolfier, TergnyandLaritchev,1971;BelensonandKapur,1973;Spronk andTelgen,1981;KokandLootsma,1985)utilizepayofftables (definedinSection3.1)toobtainestimatesoftheminimum criterionvaluesovertheefficientset. Isermannand Steuer(1987)pointedoutthattheseinteractivemethodscould benefitifbettermethodsthanthemethodusingpayofftables wereusedinordertofindorestimateminimumcriterion valuesovertheefficientset. Relativelyfewattempts (Dessouky,GhiassiandDavis,1986;IsermannandSteuer,1987) havebeenmadetofindorestimateminimumcriterionvalues overtheefficientset. Inadditiontotheseattempts, Philip(1972)andBenson(1984,1986,1991)haveconsidered theproblemoffindingminimumcriterionvaluesoverthe efficientsetasaspecialcaseoftheirproblem,whichis theproblemofoptimizingalinearfunctionovertheefficient . Inthisdissertation,theimprovementoftheefficiency ofoneoftheseinteractivemethodsintheprocessofsolving thecitrusrootstockselectionproblemwillbeinvestigatedby usingaheuristicmethodrecentlydevelopedbyBensonand Sayin(1991) Thegeneralformsofthemultiplecriteriadecision makingproblem(MCDH)andthemultipleobjectivelinear programingproblem(MOLP)areintroducedinSection1.1. In Section1.2,theproblemofoptimizingalinearfunctionover dtihsecuesfsfiiocnieonftcistertuswirlolotsbteocdkisucsuessiend.theciItnruSsecitnidounstr1y.3w,illa bepresented. ThiswillbefollowedinSection1.4byan outlineofthecontentofthisdissertation. Thenotation anddefinitionswhicharepresentedwillbeusedthroughout theremainderofthedissertation. 11AnDeocviseirovniewMakofingThePrMoubllteimpl(eMCDcMr1iteria Themostimportantreasonforincreasinginterestinthe MCDMproblemistherecognitionthatmostdecisionproblems areinherentlymultiobjective.Evenmanyproblemsaddressed byclassicalsingle-objectivemodelscaneasilybeviewedas multiobjectiveinnature. Examplesofsuchproblemsinclude projectmanagementproblems(Talbot1982),inventoryplanning problems(KendallandLee1980),schedulingproblems(Huckert etal.1980)andcapacityexpansionproblems(Evansetal.
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