The evolution of wireless and mobile networks becomes faster and faster, so the optimal allocation of radio resources is a problem which is imperative. This development of telecommunication networks is accompanied with an efficient deployment of wireless networks such Wireless Fidelity and networks mobile as LongTerm Evolution (LTE). In this paper, we propose an algorithm improving the global allocation of radio resources within the framework of a heterogeneous mobile and wireless networks system by using the dynamic programming in particular the Bellman principle of optimality. We took into account the mobility of users by using the \textbf{2D model Fluid Flow} to obtain the best performances which are numerically tested by the Network Simulator 3 (NS3).

翻译：无线和移动网络的演进速度越来越快，因此无线资源的最优分配成为一项亟需解决的问题。电信网络的发展伴随着无线网络（如Wi-Fi）和移动网络（如长期演进LTE）的高效部署。本文提出了一种算法，通过利用动态规划（特别是Bellman最优性原理）在异构移动与无线网络系统框架下改进无线资源的全局分配。我们采用\textbf{二维流体流动模型}考虑了用户的移动性，以获取最优性能，并通过网络模拟器3（NS3）进行了数值验证。