向量优化及其若干进展

Abstract

Abstract: Vector optimization is a mathematical model which minimizes or maximizes a vector-valued function. As an important part of mathematical programming, vector optimization is a promising interdisciplinary research field with many significant applications. Since 1950, the structure of the theory of vector optimization has been very complete, as well as some important progresses have been made in the study of methods, furthermore the applications have been flourishing. In this paper, we briefly review the developments of vector optimization, introduce the main characteristics, the basic theory and methods of it, highlight some recent typical progresses achieved by Chinese researchers, and propose some possible research prospects in future.

Key words: vector optimization, overview of subjects, present situation of academic development, research prospects

CLC Number:

O221，O224

RONG Weidong, YANG Xinmin. Vector optimization and its developments[J]. Operations Research Transactions, 2014, 18(1): 9-38.

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Vector optimization and its developments

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