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This paper considers a multiple Decode-and-Forward (DF) relay assisted network in the Long Term Evolution-Advanced (LTE-A) system. Multiple Relay Nodes (RNs) joint transmission is applied to enhance the fairness of capacity for Edge User (UE). But a number of RNs activated in the same Time-Frequency Block Group (TFBG) will let Inter-Cell Interference (ICI) be stronger, and will reduce the system average capacity. In order to reconcile this contradiction between average capacity and fairness, this paper proposes an Utility Function (UF) which takes "RN-UE's demand" and "RNs' efficiency" into account. Besides, a low complexity Greedy Multi-RN Selection (GMRS) scheme based on the UF (GMRS-UF) also be proposed.
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