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1、OPERATIONSRESEARCHinforms?Vol.54,No.2,March–April2006,pp.201–216issn0030-364Xeissn1526-54630654020201doi10.1287/opre.1050.0261?2006INFORMSANewLinearProgrammingApproachtoRadiationTherapyTreatmentPlanningProblemsH.EdwinRomeijn,RavindraK.AhujaDepartmentofIndustrialand
2、SystemsEngineering,UniversityofFlorida,303WeilHall,P.O.Box116595,Gainesville,Florida32611-6595{romeijn@ise.u?.edu,ahuja@u?.edu}JamesF.DempseyDepartmentofRadiationOncology,CollegeofMedicine,UniversityofFlorida,P.O.Box100385,Gainesville,Florida32610-0385,dempsey@u?.eduAr
3、vindKumarInnovativeScheduling,Inc.,GainesvilleTechnologyEnterpriseCenter(GTEC),2153SEHawthorneRoad,Suite128,Gainesville,Florida32641,arvind@innovativescheduling.comWeconsidertheproblemofradiationtherapytreatmentplanningforcancerpatients.Duringradiationtherapy,beamsofra
4、diationpassthroughapatient,killingbothcancerousandnormalcells.Thus,theradiationtherapymustbecarefullyplannedsothataclinicallyprescribeddoseisdeliveredtotargetscontainingcancerouscells,whilenearbyorgansandtissuesarespared.Currently,atechniquecalledintensity-modulatedrad
5、iationtherapyIMRTisconsideredtobethemosteffectiveradiationtherapyformanyformsofcancer.InIMRT,thepatientisirradiatedfromseveralbeams,eachofwhichisdecomposedintohundredsofsmallbeamlets,theintensitiesofwhichcanbecontrolledindividually.Inthispaper,weconsidertheproblemofd
6、esigningatreatmentplanforIMRTwhentheorientationsofthebeamsaregiven.Weproposeanewmodelthathasthepotentialtoachievemostofthegoalswithrespecttothequalityofatreatmentplanthathavebeenconsideredtodate.However,incontrastwithestablishedmixed-integerandnonlinearprogrammingformu
7、lations,wedosowhileretaininglinearityoftheoptimizationproblem,whichsubstantiallyimprovesthetractabilityoftheoptimizationproblem.Furthermore,wediscusshowseveraladditionalqualityandpracticalaspectsoftheproblemthathavebeenignoredtodatecanbeincorporatedintoourlinearmodel.W
8、edemonstratetheeffectivenessofourapproachonclinicaldata.Subjectclassi?cations:linearprogramming:applications;healthca
