| THE OPTIMALITY CONDITION AND DUALITY OF MULTIOBJECTIVE POSYNOMIAL GEOMETRIC PROGRAMMING |
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| 作者姓名： | Hu Yuda Xu Ping |
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| 摘 要： | 1IntroductionSinceitsinceptionbyZener1'2JandDuf-fin3.'1,geometricprogramminghasundergonerapiddevelopment,especiallyaftertheappear-anceofthefirstbookonthesubject'j.Multiob-jectivemathematicalprogrammingisalsoafast-developingsubject.Therehavebeenmanyachievementsinboththeoreticalandappliedas-pects'~'].Considerthemultiobjectiveprogrammingproblem:whereXcrR"(n>l)isaconstraintsetandf:X-R-(m>2)avectorobjectivefunction.WriteR7=(v6R'lv>o}iandletxbeasdefinedaParetoefficientsolutionof(VMP)ifxeXa…
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THE OPTIMALITY CONDITION AND DUALITYOF MULTIOBJECTIVE POSYNOMIALGEOMETRIC PROGRAMMING |
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| Hu Yuda, Xu Ping.THE OPTIMALITY CONDITION AND DUALITY OF MULTIOBJECTIVE POSYNOMIAL GEOMETRIC PROGRAMMING[J].Journal of Shanghai Jiaotong university,1996(2). |
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| Authors: | Hu Yuda Xu Ping |
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| Institution: | Dept. of Applied Mathematics |
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| Abstract: | This paper deals with some problems of multiobjective posynomial geometric programming. AKuhn-Tucker type optimality sufficient condition of this programming is derived. Moreover,a dual problemassociated with multiobjective posynomial geometric programming is given, and weak duality,direct dualityand inverse duality theorems are proved. |
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| Keywords: | multiobjective geometric programming K-T condition duality |
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