Abstract: “there is a rapid growth in cellu lar networks due to the huge turnout for it, but all this happening without the current generations being fully utilized in terms of spectrum. Due to the nature of the cellular system where areas are divided into cells that have limited capacity, some area s might have larger populations causing the full utilization (congestion) of the cell whereas other areas might be serving a far less user base leading to the underutilization of the cell meaning that the overall system isn’t utilized properly. In order to solve this problem load balancing has been proposed with different approaches that ranged from tinkering with the cell reselection parameters or the cell’s shape and coverage. However these methods have failed to catch on thus far for a number of reasons and load balancing is still currently done manually using radio engineers. In our research we explore a mathematical model for load balancing in 4G LTE networks. We have proposed the addition of Wi”

Keywords: 4G,load balancing, offloading, Wi-Fi Aps, Algorithm