Full Duplex(FD) network is considered as efficient scheme which could service both downlink(DL) and uplink(UL) users by same resource while HD can serve only DL or UL user for each resource. By optimized user scheduling with power control, optimal spectral efficiency could be achieved but optimization problem is non-linear and complex thus it is hard to implement. Low complexity relaxed optimization problem is proposed to solve resource allocation to minimize the transmission completion time in FD network. By adopting proposed scheme, suboptimal solution can be found in linear problem with significantly lower complexity.