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Over the last few years we are deploying various kinds of radio access technologies (RATs). Different kinds of RATs are being deployed in overlay, providing different services in terms of their bandwidth, coverage, Quality of Service (QoS), price, etc. Under the multi-radio overlay network environment RAT selection becomes an important issue for efficient use of radio access networks. One of the most important parameters in RAT selection algorithms is user mobility. According to various user mobility pattern selected RAT may be different, even with the same other parameter sets including place and time. Wrong selection of RAT calls for ping pong or subsequent handover, which causes inefficient use of radio and network resources. In order to verify user mobility effects under multi-radio overlay environment a proper mobility model is crucial. Numbers of previous mobility models were considered but they lack probabilistic change of speed between zones which are of different mobility characteristics. In this paper we propose speed-changing probabilistic 1-D mobility model and show how the speed is changing from zone to zone comparing with previous works.