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This paper considers a resource allocation problem in device-to-device (D2D)communications sharing the same frequency spectrum. In particular, the CUsutilize non-orthogonal multiple access (NOMA) while DUs adopt the orthogonalfrequency division multiple access (OFDMA). A multi-objective optimizationproblem (MOOP) is formulated, which jointly maximizes the sum rate of D2D andCUs (CUs) in uplink communications while taking into account the maximumtransmit power budget and minimum data rate requirement for D2D and CUs. ThisMOOP is handled by the weighted Tchebycheff method, which converts it into asingle-objective optimization (SOOP). Then, the monotonic optimization approachis employed to solve this SOOP optimally. Numerical results unveil aninteresting tradeoff between D2D and CUs.

Multi-objective Resource Allocation for D2D and Enabled MC-NOMA Networks by Tchebycheff Method