一類廣義分式規(guī)劃的性質(zhì)、算法及在不精確分式規(guī)劃上的應(yīng)用.pdf

1、1023如9強校代碼i0345研究類型壅：趲焦!L漸江‘師范女學碩士學位(i習等學：o)論文題目：一二盎亡墊金婁塑型盟逢廈∑簋鎏叢查丕盞疊僉盎塑型土煎廑盟學科專業(yè)：一一!鏖旦筮堂一一一生學號：—一～一研究生：壅煎一指導(dǎo)教師：盆擅堇中圖分類號：一Q211一一一答辯時間：盟年墮月20日PROPERTIESANDALGORITHMSFORACIASSoFGENERALIZEDFRACTIONALPROGRAMMINGPROBLEMANDAPP

2、LICATIONTOINEXACT磐鬟ACF的氍矗l。PRoG黛A劓瓢豳陽GCHENGIj(Collegeofgathematics，PhysicsandInformationEngineeringZhejiangNormalUniversityJinhuaZhejiang321004，china)氏BSIR^CXForaclassofgeneralized＆剛舳融program她problem(P)，whoseobjectivefun

3、ctioniscomposedofinfinitefrdctiO[1S，generalizedDinkelbachtypealgorithm，mLxedtypedual，saddlepointtypeoptimalityconditionsandapplicationtotheinexactfi_actionalprogrammingareconcerned。Thepaperconsistsof4chaptersInchapterI，w

4、estatetherecentadvancesinthestudyofgeneralizedfi俄ionalprogrammingandinexactfractionalprogrammingproblem(腰P)，whichisaspecialcasefortheproblem(聊。ThentheworkwedoonthisproblemisintroducedChapter2isthemainpartofthepaperInsect

5、ion1，somepmpeCdesofaparametricprogrammingproblem(Pa毋)aredicusmdInsection2，aclassofgeneralizedalgorithmto，，▲，solve(P)via緩岔)斛in蠹：oduc峨讎establishconvergenceanddeterminetherateofconvergenceoftheMgofithmInsection3，superlinear

6、convergencemightbeobtainedviaoptionofparametricInscctinn毒and∞ction5。wepresenttwoapplicationsofalgorithmtoinexactfractionalprogrammingproblem(ire)Undertheassumptionsofweakconditions，thefirstdirectapplicationisgiventheothe

7、rappUc越ionispresemedtothespecialeasefortheinexactfractionalprogrammingwhoseconstraintsetisgiven坶restrictionsoflinearinequalityInchapter3，undertheassumptionsof∥，g，島菇)convexityandgenemlLzed(F，群，P，d)convexityweproposethesad