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Cooperative relay networks have drawn more and more attention, since they can significantly improve network performance in terms of capacity and reliability. Multiple relay selection scheme is one of important issues which deserve careful design in such network. In this paper, we study the multiple relay selection (MRS) scheme in multiple parallel dual-hop Amplify-and-Forward relay networks, with the purpose of maximizing the received signal-to-noise ratio (SNR) at receiver, whereas the receiver adopts equal-gain combining technique. Based on general genetic algorithm (GA), an adaptive-GA (AGA) is proposed to approach optimal solution with better global and local search ability. Simulation results show that the proposed AGA can get almost optimal performance within much shorter time compared to exhaustive scheme.