Influence of mobility models on node distribution in ad hoc networks

Node distribution in ad hoc mobile radio networks is a key metric that can influence network performance such as connectivity and system capacity. It is known that the node distribution has a strong relationship with mobility models. However, not enough theoretical research has been done on them due to its randomness and complexity. Most researchers pick up mobility models without carefully examining their properties. This paper attempts a statistical approach on theoretical analysis of mobility models. Several important theorems with regards to mobility models and their influence on mobile node distribution are established. Furthermore, our theorem is applied on investigation of three typical random mobility models. The analysis is further validated by our simulation results. We also proposed some practical approaches on reasonable usage of mobility models.