| 包含约束下C^1，1多目标问题的二阶最优性条件 |
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| 引用本文： | 侯震梅,周勇,刘三阳.包含约束下C^1，1多目标问题的二阶最优性条件[J].运筹学学报,2009,13(1). |
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| 作者姓名： | 侯震梅 周勇 刘三阳 |
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| 作者单位： | 1. 新疆财经大学统计信息学院,乌鲁木齐,830012
2. 西安电子科技大学应用数学系,西安,710071 |
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| 摘 要： | 本文讨论当目标函数与支撑函数F是C1,2时,包含约束下多目标规划问题的二阶最优性条件,并根据向量函数的二阶次微分建立了有效解的二阶充分必要条件.
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| 关 键 词： | 运筹学 多目标规划 最优性条件 二阶次微分 有效解 |
Second-Order Optimality Conditions for C1,1 Multi-Objective Programming under Inclusion Constraints |
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| Hou Zhenmei,Zhou Yong,Liu Sanyang.Second-Order Optimality Conditions for C1,1 Multi-Objective Programming under Inclusion Constraints[J].OR Transactions,2009,13(1). |
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| Authors: | Hou Zhenmei Zhou Yong Liu Sanyang |
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| Abstract: | The paper discuses the optimality conditions for multi-objective prob-lems under inclusion constraints in which objective function f and the support functions of set valued map F are C1,1. Second-order necessary and sufficient conditions for efficient solutions are established in terms of second-order subdiiferentials of vector function. |
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| Keywords: | Operations research multi-objective programming optimality condi-tions second-order subdifferentials efficient solutions |
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