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| THE OPTIMALITY CONDITION AND DUALITY OF MULTIOBJECTIVE POSYNOMIAL GEOMETRIC PROGRAMMING | |
| 引用本文： | Hu Yuda, Xu Ping(Dept. of Applied Mathematics). THE OPTIMALITY CONDITION AND DUALITY OF MULTIOBJECTIVE POSYNOMIAL GEOMETRIC PROGRAMMING[J]. 上海交通大学学报(英文版), 1996, 0(2) |
| 作者姓名： | Hu Yuda Xu Ping(Dept. of Applied Mathematics) |
| 摘 要： | 1IntroductionSinceitsinceptionbyZener[1'2JandDuf-fin[3.'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… |
THE OPTIMALITY CONDITION AND DUALITYOF MULTIOBJECTIVE POSYNOMIALGEOMETRIC PROGRAMMING |
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| Hu Yuda, Xu Ping. THE OPTIMALITY CONDITION AND DUALITYOF MULTIOBJECTIVE POSYNOMIALGEOMETRIC PROGRAMMING[J]. Journal of Shanghai Jiaotong university, 1996, 0(2) | |
| Authors: | Hu Yuda Xu Ping |
| Affiliation: | Dept. of Applied Mathematics |
| 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. |
| Keywords: | multiobjective geometric programming K-T condition duality |
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