填充函數(shù)方法若干問題研究.pdf

1、學校代號：學號：密級：10532S03063005湖南大學碩士學位論文Y892418填充函數(shù)方法若干問題研究堂焦叟道厶整名!韭絲茇昱!蛭姓名丞驅猛!夏蟲熬援墻差單焦；數(shù)堂皇讓量經渣堂瞳童些名整；趣奎逾皇數(shù)堡統(tǒng)鹽途窒提至旦到!墊籩生Q!旦!日迨窯筌避旦塑i2QQ生Q旦2Z日鳘趲耋雖金圭虛；曾金堊熬援碩士學位論文AbstractWiththerapiddevelopmentofthecomputerscienceanditstechnolo

2、gy，theglobaloptimizationproblemhasbecomeoneofthemostimportantresearchfieldsinconnectionwiththetheoryandalgorithmsforoptimizationRecently，oneoftheeffectiveapproachesforglobaloptimizationwasthefilledfunctionmethod(FFM)This

3、thesisstudiedsomeissueSonFFMInsummary，thefirstchapterinthisthesisstatedwhatisglobaloptimizationproblem，anddiscussedthestopconditionsandtheevaluationstandardforoneglobaloptimizationalgorithmInthesecondchapter，weintroduced

4、somelocaloptimizationalgorithmwhichwouldbeusedintheFFMWealsointroducedsomeclassesofusefulglobaloptimizationapproachesFortheFFM，wereviewedtheexistingfilledfunctions，andpointedouttheiradvantagesanddisadvantages，respectivel

5、yWealsopresentaclassofgenericformationoffilledfunctionswithoneparameterW(x，曰)，ThelowerboundofweightfactorBwasalsodiscussedtheoreticallyInthethirdchapter，basedonthecomparisonamongdifferentclassesoffilledfunctions，weputfor

6、wardastandardtoevaluatedifferentfilledfunctionsBasedonthese，weproposedtwoclassesofgloballyconvexiedfilledfunctionsW(x，f)andV(x，f)，whichincludeonlyoneparameterBecausesomeoftheexistingothergloballyconvexiedfilledfunctionsm

7、ayinvolvetwoparameters，theproposedfilledfunctionsaresuperiortoothersInthelastchapter，weimplementedtheproposedfilledfunctionalgorithmtosolvesomeexamplesThesenumericalexperimentsshowedthattheproposedalgorithmsareeffectiveK