Robust Optimization for Selection of Genotypes with Maximum Genetic Gain

碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 107 === In this thesis, we first review the three conic relaxation: SDP (Semi-definite programming), LP (Linear programming), and SOCP (Second-order cone programming), proposed in S. Safarina et al.(2017) for the optimum selection of genotypes that maximize genetic...

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Main Authors: Sing-HuaCai, 蔡幸樺
Other Authors: Ruey-Lin Sheu
Format: Others
Language:en_US
Published: 2019
Online Access:http://ndltd.ncl.edu.tw/handle/g6v7bz
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spelling ndltd-TW-107NCKU55070042019-10-25T05:24:18Z http://ndltd.ncl.edu.tw/handle/g6v7bz Robust Optimization for Selection of Genotypes with Maximum Genetic Gain 使用Robust 優化技巧以選擇具有最大獲益的基因型態 Sing-HuaCai 蔡幸樺 碩士 國立成功大學 數學系應用數學碩博士班 107 In this thesis, we first review the three conic relaxation: SDP (Semi-definite programming), LP (Linear programming), and SOCP (Second-order cone programming), proposed in S. Safarina et al.(2017) for the optimum selection of genotypes that maximize genetic gain. Then, we consider the robust optimization to the LP relaxation and incorporate with a steepest ascent method to acquire an appropriate solution for the equal deployment(ED) problem subject to uncertainty data. At last, we conduct numerical experiments to test the feasibility incurred by the perturbation. Ruey-Lin Sheu 許瑞麟 2019 學位論文 ; thesis 79 en_US
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description 碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 107 === In this thesis, we first review the three conic relaxation: SDP (Semi-definite programming), LP (Linear programming), and SOCP (Second-order cone programming), proposed in S. Safarina et al.(2017) for the optimum selection of genotypes that maximize genetic gain. Then, we consider the robust optimization to the LP relaxation and incorporate with a steepest ascent method to acquire an appropriate solution for the equal deployment(ED) problem subject to uncertainty data. At last, we conduct numerical experiments to test the feasibility incurred by the perturbation.
author2 Ruey-Lin Sheu
author_facet Ruey-Lin Sheu
Sing-HuaCai
蔡幸樺
author Sing-HuaCai
蔡幸樺
spellingShingle Sing-HuaCai
蔡幸樺
Robust Optimization for Selection of Genotypes with Maximum Genetic Gain
author_sort Sing-HuaCai
title Robust Optimization for Selection of Genotypes with Maximum Genetic Gain
title_short Robust Optimization for Selection of Genotypes with Maximum Genetic Gain
title_full Robust Optimization for Selection of Genotypes with Maximum Genetic Gain
title_fullStr Robust Optimization for Selection of Genotypes with Maximum Genetic Gain
title_full_unstemmed Robust Optimization for Selection of Genotypes with Maximum Genetic Gain
title_sort robust optimization for selection of genotypes with maximum genetic gain
publishDate 2019
url http://ndltd.ncl.edu.tw/handle/g6v7bz
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AT càixìnghuà robustoptimizationforselectionofgenotypeswithmaximumgeneticgain
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AT càixìnghuà shǐyòngrobustyōuhuàjìqiǎoyǐxuǎnzéjùyǒuzuìdàhuòyìdejīyīnxíngtài
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