In this paper, a telecommunication network situation is studied. Particularly, the problem considers an upper-level decision maker that enables different types of hubs in the network and another one that connects the users to the enabled hubs. The objective of the upper-level decision maker is to balance the number of users connected to the enabled hubs. However, the connection of users is performed by another decision maker with lower hierarchy, the one associated to the lower-level problem. Hence, decisions at the upper level are given as parameters to the lower level. So that, the lower level is solved to obtain feasible bi-level solutions. In this case, the rational reaction of the decision-maker assigned to the lower level is obtained. Due to the complexity of this problem, an evolutionary algorithm is proposed to obtain a good approximation. Numerical experimentation shows the efficiency and robustness of the proposed solution scheme. Based on the results, it can be concluded that the proposed algorithm provides good alternatives for the bi-level decision-making process. Also, some managerial insights are given regarding the different types of enabled hubs and the connection of the users.

本文研究了电信网络的情况。特别是，该问题考虑了启用网络中不同类型集线器的上层决策者和将用户连接到启用的集线器的另一个决策者。上层决策者的目标是平衡连接到启用集线器的用户数量。然而，用户的连接是由另一个层次较低的决策者执行的，这个决策者与较低层次的问题相关联。因此，上层的决策作为参数提供给下层。这样，求解较低的层次以获得可行的双层解。在这种情况下，得到分配到较低级别的决策者的理性反应。由于该问题的复杂性，提出了一种进化算法以获得良好的近似。数值实验表明了所提出的解决方案方案的效率和鲁棒性。根据结果​​，可以得出结论，所提出的算法为双层决策过程提供了良好的替代方案。此外，还就不同类型的启用集线器和用户连接提供了一些管理见解。