Financial and environment considerations present new trends in wireless network known as green communication. As one of the most promising network architectures, the device-to-device(D2D) communication should take seriously account to the energy-efficiency. Most of the existing work in the area of D2 D communication only focus on the direct communication, however, the direct link D2 D communication has to be limited in practice because of long distance, poor propagation medium and cellular interference, etc. A new energy-efficient multi-hop routing algorithm was investigated for multi-hop D2 D system by jointly optimizing channel reusing and power allocation. Firstly, the energy-efficient multi-hop routing problem was formulated as a combinatorial optimization problem. Secondly, to obtain a desirable solution with reasonable computation cost, a heuristic multi-hop routing algorithm was presented to solve the formulated problem and to achieve a satisfactory energy-efficiency performance. Simulation shows the effectiveness of the proposed routing algorithm.
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