多目标规划模型的应用研究

246201012JournalofBaichengNormalCollegeVol．24No．6Dec．20101221.1370002.130500、．LINGO．O221．6A1673-3118201006-0007-052010－11－081973———1963———1970———．1．．、、、．。、、、、、．213、、A/B2///0．35270．00212．860．0055X100．00062．760．0012X225．00．0020．250．0014X355A7500B21．633820501．7minZ=0．0055x1+0．0012x2+0．0014x31maxY=0．3527+0．0021X1+25．0+0．002X3+0．0006X22s．t．0．3527x1+25．0x3≥75000．0021x1+0．0006x2+0．002x3≥1．63382．86x1+2．76x2+0．25x3≥2050x1x2x3≥01x*=0689．44610．67TZ*=1．67689．44610．671．67．2．2x1≥140x2≤450x3x*=245．44450．00424．19TZ*=2．48．．．21．RNCW2N130．75C1/310．25λmax=2C．I．=0NAB2QW31A1120．4B21120．4Q1/21/210．2λmax=3C．I．=0λmaxC．I8246W3=0．400．400．20010．750．[]25=0．30．30．150．25．AB2QCU4=mebrve0．01390．44680．48720．10570．00000．12770．47020．48190．98610．42550．04260．4310W4=U4W3=0．240．230．53Tx1=0．24kx2=0．23kx3=0．53kminZ=0．002338ks．t．13．3346k≥75000．0017k≥1．63381．4537k≥2050k≥0k=1410．20x1=338．45x2=324．35x3=749．41．Z=3．302A18804．52B22．400Q2050．01．RNCW2N110．5C110．5λmax=2C．I．=0W3=0．40．20．40．20．20．2010．50．[]5=0．20．20．10．5TW4=U4W30．03190．44680．48720．10810．00000．12770．47020．48190．98610．42550．04260．41300．20．20．10．5=0．1930．3140．493x1=0．193kx2=0．314kx3=0．493kminZ=0．0021285ks．t．12．3931k≥75000．0016k≥1．63381．54187k≥205090．193k≥1400．314k≤450k≥0k=1329．56x1=256．61x2=419．48x3=655．47Z=2．83256．61419．48655．472．83A16479．33B22．100Q2050．01200．2．9、2．11．5．7．4．1．．7．412．931．5．7．422．911．50．1．．．．52．22．92．11．510302010．10220．21200．30130．8．．2①xii．xi．②cii．③A．．①minz1=∑5i=1Ci·xi01246②minz2=∑5i=1xi2x1+2x2+x4≥2002x3+2x4+x5≥2003x1+x2+2x3+3x5≥200xi≥03．②①．LINGOAA=32．LINGOx1=0x2=80x3=60x4=40x5=0．18032．．max=x1+1．1*x2+1．2*x3+1．3*x4+1．8*x5x1+x2+x3+x4+x5＜1800．1*x2+0．2*x3+0．3*x4+0．8*x5＜32x1+2*x2+x4＜2002*x3+2*x4+x5＜2003*x1+x2+2*x3+3*x5＜200LINGOx=08060400Tx．．．．3LINGO．．、、、、、、．．1．M．2003．2．M．1999．3．LINDO/LINGOM．1998．4．———M．2005．5．M．2001．15111．M．1998．2．M．1988．3．M．1998．4．M．2003．EightProofsforMeanInequalityBILIGe－tuZHAOli1．Xing’anVocationalandTechnicalCollegeMathematicsDept．WulanHaote1374002．HaimingPrimarySchoolBaichengBaicheng137000ChinaAbstractProofmethodfortheInequalityhasbecomeamoreandmorehotissuewithinthefieldofmathe-maticsbecauseofitsimportantroleinmathematicsaswellasthedifficultyofproof．ThisarticleintroducedeightproofsforInequalitysuchasthemethodofinductionbyarithmeticthemethodoflocaladjustmentorderingprin-ciplemethodofinequalitygeometricmethodmethodofvariablesubstitutiontheprincipleofinductionmeth-odofsuccessiveadjustmentonwhichtheskillsforproofInequalityareconcluded．Thereforetheexploringa-bilityandproofmethodsforinequalityoflearnerscanbeimproved．KeyWordsinequalityarithmeticmeangeometricmeanproofmethod11TheApplicationofMulti－objectiveProgrammingModelWANGLi－yingZHAOLian－liZHAOLian－zhongDepartmentofMathematicsBaichengNormalCollegeBaicheng137000JiutaiVocationalEducationCenterJiutai130500ChinaAbstractMulti－objectiveprogrammingisanimportantmethodfortheoptimizationthisarticletakestheoptimalfoodmatchingandcroppingmethodasanexamplerespectivelymakingmulti－programmingmodelsbasedonthedynamiccharacteristicsofmulti－targetsandmultivariate．AndtheprocessisdonebyAHPandprimarytargetmethodthenaresultisobtainedbyapplyingLINGOsoftware．KeyWordsfoodmatchingreasonablecroppingmulti－objectiveprogramming51