摘要
混合整数非线性规划(mixed integer nonlinear programming,MINLP)已经渗入到了实际生活中的各个领域,其研究有着重要的现实意义.为有效求解不同类型的MINLP问题,研究者们不断提出新的算法和有效软件.本文致力于介绍求解MINLP问题的基本算法与相应的优化软件,并介绍MINLP问题的研究进展.
Mixed integer nonlinear programming (MINLP) has entered into each domain of real life and its research has important practical significance. To solve different types of MINLP problems effectively, researchers have proposed algorithms and effective softwares. This paper is devoted to the basic algorithms proposed to solve the MINLP and the corresponding softwares, and introduces the progress in the research of MINLP problems.
出处
《中国科学:数学》
CSCD
北大核心
2016年第1期1-20,共20页
Scientia Sinica:Mathematica
基金
国家自然科学基金(批准号:11171095
71371065
11331012和81173633)
国家杰出青年科学基金(批准号:11125107)资助项目
关键词
混合整数非线性规划
分支定界
割平面
软件
mixed integer nonlinear programmings branch-and-bounds cutting planes software