| 关于多目标规划信赖域算法收敛的判别准则研究 |
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| 引用本文： | 高峰,侯亚君.关于多目标规划信赖域算法收敛的判别准则研究[J].沈阳理工大学学报,1997,16(3):51-56. |
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| 作者姓名： | 高峰 侯亚君 |
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| 作者单位： | 沈阳工业学院经贸分院，沈阳工业学院 |
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| 摘 要： | 通过对多目标规划的传统算法和非线性规划信赖域算法的深入研究，提出了与多目标规划问题有关的两个重要函数，并找到了它们与多目标规划问题解之间的密切关系，从而为多目标规划的算法找到了一个恰当的停止准则，为构造多目标规划的信赖域算法提供了理论基础．
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| 关 键 词： | 多目标规划，凸函数，弱有效解 |
The Judging Criterion Study for Multiobjective Programming Trust Region Algorithm Convergence |
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| Gao Feng Hou Yajun,Yin Yongchun.The Judging Criterion Study for Multiobjective Programming Trust Region Algorithm Convergence[J].Transactions of Shenyang Ligong University,1997,16(3):51-56. |
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| Authors: | Gao Feng Hou Yajun Yin Yongchun |
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| Abstract: | In this paper,the authors present two important functions concerning with multiobjective programming problems and find close relationship between them by a deep study for traditional multiobjective programming algorithms and nonlinear programming trust region algorithms.Those lead to a suitable stopping criterion for multiobjective algorithms and provide a theoritical basis for constructing multiobjective trust region algorithms. |
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| Keywords: | multiobjective programming convex function weak efficient solution |
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