WIMAX stands for Wireless Interoperability of Microwave access. It is a technology that provides fast access to data over long distances by using various techniques for point to point communication in cellular networks. The main goal of this cellular system is to make faster and efficient communication without loss of data during handover process. It consists of two types of handover in cellular system: Hard Handover (break before make) and Soft handover (make before break). In this paper we will consider soft handover that uses WiMax technology under the implementation of protocols like VOIP and IPTV. VOIP and IPTV are the protocols that are used in the wireless communication whether for the voice calls or transfer of data in bulk. It always create a kind of congestion in network. We need to consider both these protocols during a soft handover. In this paper for efficient soft handover during the congestion in network created by these two protocols and fast switching during a soft handover by considering the various scenarios like distance, congestion and signal strength. By finding the different values through which we can improve the efficiency of a handover like the quality of service, balance the load on the network, improve throughput by finding the value of Beta i.e. the path lost variable. By minimizing the value of Beta we can make a soft handover more efficient.