较多有效解类的最优性条件和Lagrange对偶定理  

THE OPTIMALITY CONDITIONS AND THE LAGRANGE DUALITY THEOREMS FOR SEVERAL KINDS OF MAJOR EFFICIENT SOLUTIONS

作　　者：王晓敏[1] 

机构地区：[1]上海交通大学应用数学系,上海200030

出　　处：《系统科学与数学》2000年第3期324-329,共6页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金

摘　　要：利用较多锥的内部和闭包，引进多目标规划问题的严格强较多有效解等概念．根据它们的表示定理，建立各类较多有效解的最优性条件，并由此得到严格弱较多有效解的Lagrange直接对偶和严格强较多有效解的tagrange逆对偶定理.The concepts of several kinds of major efficient solutions are defined on thebasis of the illterior and closure of a ma jor cone. The optimality condition for each kind ofmajor efficient solution is established through its expression theorem. Then the Lagrange directduality theorem for a strictly weakly major efficient solution and the Lagrange inverse for astrictly strongly major efficient solution are proven.

关 键 词：多目标规划 较多有效解 最优性条件 L对偶定理 

分 类 号：O221[理学—运筹学与控制论]