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，讨论了圆锥有效解与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率概念，分析了圆锥有效解的主要特点．
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.
出处
《运筹学学报》
CSCD
2000年第3期33-41,共9页
Operations Research Transactions
基金
The National Nature Science Foundation of China.
