经济数学2016，Vol.33Issue(2)：75-79,5.
双目标规划问题的像集与求解
The Image Set for Solving Double Objective Optimization Problems
摘要
Abstract
The objective of decision‐making in economic management is often related to cost and benefit .A good case in point is that bi‐objective programming based on cost‐benefit analysis is widely used in economic management .However ,so far , there is still a lack of mature algorithms to determine the full solution of the Bi ‐objective programming problem .A general method ,which was used to get the Pareto solution or weak Pareto solution for double objective optimization problems ,was put forward in this research .To be specific ,we constructed a single objective programming with equality constrain to determine the frontier of the image set of double objective optimization problems .Furthermore ,we could determine the frontier's functional monotonicity using Lagrange multiplier and finally get the Pareto solution or weak Pareto solution .Base on above steps ,A gen‐eral framework was presented to solve double objective programming problem .关键词
最优化/双目标规划解法/单目标规划/像集/弱帕累托解Key words
Optimization/The Method of Solving Double-Objective Programming/Single-Objective Programming/Im-age Set/Weak Pareto Solution分类
管理科学引用本文复制引用
马赞甫,刘妍珺..双目标规划问题的像集与求解[J].经济数学,2016,33(2):75-79,5.基金项目
教育部人文社会科学基金项目（12YJC790140），国家社会科学基金项目（12BJY012），贵州省软科学计划项目 （）
