中文摘要：

该文建立了一种分层移动IP网络分析模型，提出了一种最优管理区域的设置方案。通过对切换时延和管理区域大小之间的数学关系进行定量分析，表明分层移动IP存在最优管理区域。通过采用极小化函数迭代的方法，求出使切换时延达到最小时最优MAP管理区域半径。研究结果为分层移动IP的网络规划和优化提供了重要的理论指导。

英文摘要：

A novel hierarchical mobile IP network analysis model is firstly constructed in this paper. And then a scheme is proposed to set hierarchical mobile IP optimal size of regional network. After mathematical relations between handoff latency and the regional size of hierarchical mobile IP are studied, the conclusion can be drawn that there exists optimal size of regional network. Moreover, a minimum iterative function is adopted to deduce optimal MAP regional radius when handoff latency is minimum. Research results will be benefit to hierarchical mobile IP network planning and optimization.