Linking Modeling And Analysis Of Mobile Ad Hoc Network Based On Markov Theory

Nowadays, Mobile Ad Hoc Networks (MANET) has been one hot research subject in telecommunication technology fields, because it is decentralizing, self-organizing, and highly dynamic networks formed by a set of mobile hosts connected through wireless links, without requiring any existing fixed backbone or infrastructure. It is widely used in military, recovery, commercial, civil, and temporary communications and other fields. In the MANET, the linkage changing between two nodes has a significant impact in the performance of the network, but the link generation rate reflects the changing rate of neighborhoods of MANET. So the generation rate is an important index of a network connection. Several mobility models are first introduced and then new mobility models for MANET are presented in this paper. In the models, this paper will make use of Markov theoretical tool for modeling the link changing of mobile nodes, and the analysis is given in the following.First of all, this paper will deduce the linking generation rate for discrete Gauss-Markov mobility model and generalized discrete Gauss-Markov mobility model. The characteristics of models are analysed, and the stability of node degree is discussed in the end. The movement pattern of mobile nodes in the model is characterized by time interval, speed and direction, which reflects a certain degree of randomness and yield more realistic behaviors.Secondly, for the link changing of static network nodes in an arbitrary arrangement in the modeling, the system is composed by deleting, rewiring, adding, and no change to switch among four states of the link changing by the stochastic differential equations tool. Its analysis of a series of results obtained, and the important things are hth moment exponential decreasing and the stability analysis for the system. The mobile node speed factors are primarily taken into account in the systems.Finally, for the link changing in the generalized system modeling and analysis of mobile nodes, this paper takes into account the impact of factors, and gives the judge this system instability or stability of the judge's theorem.