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Handover is the process of maintaining session Quality of Service (QoS) while the customer is changing radio access network point of attachment. Handover due to mobility, while seamlessly maintaining service continuity and QoS is one of the 3GPP standard requirements. Handover with in 2G/3G cellular networks has been successfully and widely deployed. However, deployment of new radio technologies in the mobile world has been gaining momentum. Driven by customers and applications need for more data throughput, operators are struggling to deliver the promised services and high data rates to customers. With little or no experience in the new technologies, operators are using existing traffic information from Global System for Mobile communications/ General Radio Packet System (GSM/GPRS) technologies and 3G Universal Mobile Telecommunication Services (UMTS) to deploy 3.5G High Speed Downlink Packet Access (HSDPA) systems. While initial experiences with HSDPA installations have shown improved data rate offering and the opening of new era of video communications and streaming over cellular networks. The diversity of the services and the availability at the moment of two radio access networks to choose from to deliver these services makes the management of available resources rather complex. In this paper, we propose a multi service handover algorithm to optimize the available network resources in multi radio environment based on service requests. The proposed algorithm efficiently optimizes the radio resources available based on the services supported in 3GPP standards. It has two goals: provide highest available resource to the request and maintaining minimum quality of service when networks availability changes due to handover.