| 不确定信息多目标线性优化的鲁棒方法 |
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| 引用本文： | 阎爱玲,修乃华.不确定信息多目标线性优化的鲁棒方法[J].数学的实践与认识,2012,42(6):243-252. |
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| 作者姓名： | 阎爱玲 修乃华 |
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| 作者单位： | 1. 河北工业大学理学院,天津300401;北京交通大学理学院,北京100044
2. 北京交通大学理学院,北京,100044 |
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| 摘 要： | 研究不确定信息的多目标线性优化问题,其数据不能精确给出但是属于一个给定的集合.首先,采用鲁棒方法把该问题转化为一个确定的多目标优化问题.然后,给出此问题解存在的充分条件.最后,通过实例验证了用鲁棒方法解决不确定信息的多目标线性优化问题的有效性.
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| 关 键 词： | 多目标线性优化 Pareto有效解 鲁棒性 |
Robust Method for Multiobjective Linear Programming with Uncertain Data |
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| YAN Ai-ling
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XIU Nai-hua.Robust Method for Multiobjective Linear Programming with Uncertain Data[J].Mathematics in Practice and Theory,2012,42(6):243-252. |
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| Authors: | YAN Ai-ling XIU Nai-hua |
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| Institution: | 1.School of Science,Hebei University of Technology,Tianjin 300401,China) (2.School of Science,Beijing Jiaotong University,Beijing 100044,China) |
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| Abstract: | In this paper,we consider the multiobjective linear programming whose data are not given exactly but belong to a given set.Firstly,we reformulate this problem as a deterministic multiobjective programming by robust method.Then,we give the sufficient condition for the existence of the solution on this problem.At last,we give two numerical examples to illustrate the effectiveness of the robust solutions of the concerned problems. |
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| Keywords: | multiobjective linear programming Pareto efficient solution robustness |
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