| 多目标规划的圆锥有效解 |
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| 引用本文： | 秦志林,胡毓达.多目标规划的圆锥有效解[J].运筹学学报,2000,4(3):33-41. |
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| 作者姓名： | 秦志林 胡毓达 |
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| 作者单位： | 上海交通大学应用数学系,上海,200030 |
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| 基金项目： | Project Supported By The National Nature Science Foundation of China. |
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| 摘 要： | 本文利用有限维向量空间中圆锥的概念，引入了多目标规划问题的一种新的有效解－圆锥有效解，并讨论了这种有效解的性质。同时，讲座了圆锥有效解与Pareto有效解以及绝对最优解之间的关系。最后，通过引进目标总值差异概念，分析了圆锥有效解的主要特点。
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| 关 键 词： | 多目标规划 圆锥有效解 有限维向量空间 PARETO有效解 |
| 修稿时间： | 2000-10-19 |
Circular-Cone Efficient Solution in Multiobjective Programming |
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| ZHILIN QIN,YUDA HU.Circular-Cone Efficient Solution in Multiobjective Programming[J].OR Transactions,2000,4(3):33-41. |
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| Authors: | ZHILIN QIN YUDA HU |
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| Institution: | ZHILIN QIN
,YUDA HU
(Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200030, China) |
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| Abstract: | By means of the circular-cone defined in finite dimensional vector space, a new kind of efficient solution, circular-cone efficient solution, in multiobjective programming prob- lems was introduced and its properties studied in this paper. Moreover, the relationship between the circular-cone efficient solution and Pareto efficient solution, and the absolute optimal solution as well, was discussed. Finally, by introducing the concept of difference- ratio of total objective value, the main specialties of circular-cone efficient solution were discovered. |
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| Keywords: | multiobjective programming circular-cone circular-cone efficient solution |
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