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来源类型	Book Section
DOI	10.1007/978-3-642-46607-6_45
	Epsilon Solutions and Duality in Vector Optimization.
	Valyi I; Sawaragi, Y.; Inoue, K.; Nakayama, H.
发表日期	1987
出处	Toward Interactive and Intelligent Decision Support Systems. Eds. Sawaragi, Y. , Inoue, K. & Nakayama, H. , pp. 417-426 Germany: Springer Berlin Heidelberg. ISBN 978-3-642-46607-6 DOI: 10.1007/978-3-642-46607-6_45 .
出版年	1987
语种	英语
摘要	The study of epsilon solutions in vector optimization problems was started in 1979 by S. S. Kutateladze [1]. These types of solutions are interesting because of their relation to non-differentiable optimization and the vector valued extensions of Ekeland’s variational principle as considered by P. Loridan [2] and I. Vályi [3], but computational aspects are perhaps even more important. In practical situations, namely, we often stop the calculations at values that we consider sufficiently close to the optimal solution, or use algorithms that result in some approximates of the Pareto set. Such procedures can result in epsilon solutions that are under study in this paper. A paper by D. J. White [4] deals with this issue and investigates how well these solutions approximate the exact solutions.
主题	System and Decision Sciences - Core (SDS)
URL	http://pure.iiasa.ac.at/id/eprint/14142/
来源智库	International Institute for Applied Systems Analysis (Austria)
引用统计
资源类型	智库出版物
条目标识符	http://119.78.100.153/handle/2XGU8XDN/133105
推荐引用方式 GB/T 7714	Valyi I,Sawaragi, Y.,Inoue, K.,et al. Epsilon Solutions and Duality in Vector Optimization.. 1987.