Performance analysis and optimization model based on dynamics equation for heterogeneous wireless networks

In this paper, we propose a model based on dynamics equation for performance analysis and optimization for heterogeneous wireless networks (HWNs). First, the channel occupation state with time of HWNs is modelled by dynamics equation, in which users' mobility as an important factor affecting system performance is considered. Then the steady state probability distribution of channel occupation is derived. Based on the results, the expression of the throughput of HWNs is deduced, which includes a factor ρ which is the ratio of service arrival rate accessing one of the networks to the total service arrival rate in the overlapping area. And this paper proposes to maximize the throughput of the HWNs by optimizing the factor ρ to efficiently utilize the resources. Simulation results show that the proposed optimization method can effectively improve the throughput and in the meanwhile decrease the blocking probability of the whole system.