The k-tier heterogeneous wireless networks (kHWN) deployment focused on the needs of the users. Many challenges exist in integrating kHWN architectures into one seamless flow of voice, data and multimedia. The handoff's between kHWN that allows user equipment (UE) to continuously find seamless connectivity with the transceivers is complex and challenging. The common and most desired, cost effective parameter for vertical handoff scheme (VHOS) is the receiving signal strength (RSS). In this paper we investigated the best suited empirical and statistical model to get the optimized result of the RSS for GSM, UMTS, advanced Long Term Evolution (LTE) and WLAN which are integrated in the kHWN. Based on the RSS results the VHOS algorithm for kHWN is proposed, to achive mobility within the kHWN. The simulation results validate the findings.