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为了组播应用尤其是组播安全,研究IP组播的用户的动态行为规律具有重要的意义。以组播应用中组成员加入和退出组的动态过程为研究对象,根据组用户加入和退出组行为的无记忆性,认为组播组的成员数为一个连续时间、离散状态的Markov过程,采用概率论方法,推出IP组播行为的生灭模型。模型表明,单位时间内用户加入和退出组的次数正比于组成员数。用MBone运行的实测数据对模型进行验证,证明生灭模型能够很好地近似组播成员的加入和退出行为。
For multicast applications, especially multicast security, it is of great importance to study the dynamic behavior of IP multicast users. According to the memorylessness of group members’ joining and leaving group behavior, the membership of multicast group is regarded as a continuous-time, discrete-time Markov process, using the dynamic process of group member joining and leaving group in multicast application as the research object. Probability theory, the introduction of IP multicast behavior of the birth and death model. The model shows that the number of users joining and leaving a group per unit time is proportional to the number of group members. The measured data of MBone is used to verify the model, which proves that the birth-death model can well approximate the joining and withdrawing of multicast members.