Scaling Laws of Social-Broadcast Capacity for Mobile Ad Hoc Social Networks

In this paper, we mainly investigate capacity scaling laws of the mobile ad hoc social networks (MAHSNs)where social networking applications are implemented over the underlying mobile ad hoc networks. We model the real-world mobility pattern of mobile social users by introducing a clustered model that defines two levels of mobility, i.e., Strong mobility and weak mobility, according to the impacts of mobility on the gain of network capacity. To address the formation of social relationships among mobile social users, we adopt a distance and density aware social model called population-distance-based model that comprehensively and practically takes account of the clustering levels of friendship degree and distribution. Under those models, we derive the capacity scaling laws for social-broadcast sessions in MAHSNs. The results provide the exploratory insights into the impacts of users´ mobility patterns and the formation of social relationships on the network capacity of MAHSNs.