物流系统中一类向量优化问题弱有效解集非空紧性的刻画与研究

向量优化问题在物流系统中有着广泛的应用，在向量优化问题中，决策者为了选择一个“最好的”可行方案，需要综合考虑各个目标因素。由于向量优化问题的解和决策者的偏好紧密联系，所以最优解的概念在这里是没有意义的。通常研究的是有效解和弱有效解。它们和决策者的控制结构密切相关。文章研究了当目标空间的控制结构为多面体锥时，锥约束凸向量优化问题的弱有效解集的非空紧性的各种刻画，从而为向量优化问题计算方法的发展提供了很好的理论基础。

Characterizing Nonemptiness and Compactness of the Weakly Efficient Solution Set for a Cone-Constrained Convex Vector Optimization Problem in Logistics System

There are many applications about vector optimization problems in logistics system. In order to solve these kinds of problems, people should take into account many factors which are related to their preferences. While considering these problems, we usually study the efficient solution and weakly efficient solution instead of optimal solution. In this paper, I characterize the nonemptiness and compactness of the weakly efficient solution set of a cone-constrained convex vector optimization problem, which is ...