中文摘要：

移动自组网络（简称MANET）目前已经成为4G中的重要研究课题。本文在一个典型的随选型路由协议即动态源路由（DSR）协议的基础上，通过对信号强度进行分级来描述节点之间的相对距离，同时利用定向天线技术，建立了移动自组网络有空间重用的离散时间马氏链模型。通过计算平稳分布，进一步分析了节点相邻的概率和节点的平均邻居数两个基本的网络参数。并以定向天线发送信号的特性为基础，给出了一个具体实例，分析相应的参数。这对路由协议的评价和性能分析具有理论上的指导意义。

英文摘要：

Mobile ad hoc networks （MANETs） have become an important project in the 4th generation mobile communication network. In this paper, we establish a discrete-time markov chain model with N-spatial reuse for a MANET under the dynamic source routing protocol （DSR） which is a typical reactive routing protocol. In this model, the distance between any two nodes in the network is described according to the signal intensity level and the space is reused N times in the flooding process by using directional antennas. By calculating the equilibrium distribution of the model, we obtain two ba- sic network parameters which are the probability that a particular mobile node is in the vicinity of another mobile node and the average number of mobile node＇s neighbors. Furthermore, we present a concrete example based on the transmittal characteristics of directional antennas and obtain the corresponding results. The results obtained in this paper are forward to be a frame of reference to evaluate or to analyse the performance of the routing protocol in the MANET.