向量优化的Henig真有效点（解）集的连通性

在局部凸的Hausdorff空间中,首先给出Henig真有效点的等价形式,由此得到了Henig真有效点的纯量化形式.借助纯量化形式,证明了Henig真有效点集的连通性.其次,对集值优化问题,当目标集值映射足锥凸时,给出其象集的Henig真有效点集与其象集凸包的Henig真有效点集是相等的结论,并给出了集值映射象集的Henig真有效点的纯量化形式.最后,证明了集值优化问题的Hcnig真有效解集的连通性.     

虚拟企业管理中的伙伴选择问题:模型与理论分析

本文建立了虚拟企业伙伴选择问题的整数规划模型，并从理论上证明了该类问题正规解的存在性．所获结果对于该类问题的研究与求解提供了可靠的理论依据，并将建立的模型和所得结论应用到一个工程实际问题，采用遗传算法求解，取得了满意的计算结果．     

求解一种带有微分方程约束的条件变分问题的多目标最优化方法

Aiming at the conditional variational problem with the bi-objective functionals and the differential equational constraint in the optimal design of the electrostatic lenses, the conditional variational problem is transformed into multi-objective optimization problem by means of the spline function and the integral transformation. For solving the transformed problem, the analytic representation formula of the optimal solution about the original problem is obtained with regard to the voltage distribution and the electron trajectory. It will provide a new effective method for the design of the electrostatic lenses.