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In order to save energy and make more efficient use of wireless channel,this article puts forward an energy saving cooperative relaying scheme which actuates the cooperative transmission only when the feedback from the destination indicates failure of the direct transmission.The proposed scheme selects the optimal relay and its corresponding transmission power in each time slot based on channel condition and residual energy with the objective of minimizing energy consumption and extending network lifetime.In the study,the finite-state Markov channel model is used to characterize the correlation structure of channel fading in wireless networks,and the procedure of relay selection and transmission power decision is formulated as a Markov decision process.Numerical and simulation results show that the proposed scheme consumes less energy and prolongs the network lifetime.