In this paper, we take up the timely topic of the modeling, analysis, and solution of refugee migration networks. We construct a general, multiclass, multipath model, determine the governing equilibrium conditions, and provide alternative variational inequality formulations in path flows and in link flows. We also demonstrate how governmental imposed regulations associated with refugees can be captured via constraints. We provide qualitative properties and then establish, via a supernetwork transformation, that the model(s) are isomorphic to traffic network equilibrium models with fixed demands. Illustrative examples are given, along with numerical examples, inspired by a refugee crisis from Mexico to the United States, which are solved using the Euler method embedded with exact equilibration. The work sets the foundation for the development of additional models and algorithms and also provides insights as to who wins and who loses under certain refugee regulations.

在本文中，我们及时探讨了难民迁移网络的建模、分析和解决方案。我们构建了一个通用的、多类的、多路径模型，确定了控制平衡条件，并在路径流和链接流中提供了替代的变分不等式公式。我们还展示了如何通过约束来获取政府实施的与难民相关的法规。我们提供定性属性，然后通过超网络转换建立模型与具有固定需求的交通网络平衡模型同构。受从墨西哥到美国的难民危机的启发，给出了说明性的例子和数值例子，这些例子是使用嵌入精确平衡的欧拉方法解决的。