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Reference | Target/objective | Method | Performance metric |
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[28] | Maximize energy efficiency and reduce transmission power in a full duplex (FD) relay-aided mmwave D2D communication | Lagrange dual decomposition and Karush–Kuhn–Tucker (KKT) conditions Matching theory for relaying | Energy efficiency(EE) Transmit power Jains’ fairness index |
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[29] | Maximize sum rate in a single-cell mmwave time division duplex cellular network by considering joint adaptive selection for multibeam reflection of NLOS devices and D2D relays | Lagrangian dual-based algorithm | Sum rate Jains’ fairness index |
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[30] | Maximization of throughput in an outdoor mmwave small cell environment with a trade-off between number of admitted devices and interference constraint. | Heuristic algorithm | Throughput Satisfaction ratio |
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[31] | Joint relay selection and power allocation to maximize system throughput and minimize aggregate transmission power by taking data rate threshold and total transmit power constraints | Matching theory | Transmit power Throughput |
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[32] | Optimal subchannel allocation for underlay to maximize sum rate and spectrum efficiency for D2D communication in outdoor mmwave scenario | Iterative water filling algorithm | Sum rate Spectrum efficiency Jains’ fairness index |
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[33] | Optimal subchannel allocation for access and D2D links in a densely deployed multiple mmwave small cells to maximize sum rate | Coalition game | Sum rate |
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[34] | Enhance system throughput and spectrum efficiency in an urban scenario in the E-band by reducing interference from multiple D2D pairs | Heuristic algorithm | Throughput D2D efficiency ratio |
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[35] | Maximize the network sum rate in D2D-enabled communication in heterogeneous cellular networks by combining mmwave and sub-6 GHz | Coalition formation game | Network sum rate |
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[36] | Maximize EE of the CUs served by either macrocells or mmwave small cells by considering simultaneous subcarrier and power allocation to satisfying a given QoS level for D2D pairs. The macrocells operate at 2.4 GHz and small cells operate at 28 GHz. | Lagrangian and Hungarian method | Energy efficiency Outage probability of D2D pairs |
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[37] | Energy efficiency maximization for cellular and D2D user devices. The cellular devices are either served by macrocells or mmwave small cells and the QoS requirements of D2D users are maintained. | Lagrange technique and KKT conditions Hungarian method | Energy efficiency Sum rate Outage probability |
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[38] | A Stackelberg game-based time-sharing technique proposed for interfering D2D communication paths to maximize throughput at 60 GHz | Stackelberg game | Throughput D2D user density |
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[39] | Transmit power minimization scheme by considering device association and beamwidth selection in a 60 GHz mmwave D2D network | Particle swarm optimization (PSO) | Transmit power Achievable rate |
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[40] | Resource allocation, beam selection, and interference coordination in integrated mmwave and sub-6 GHz network scenario with two-hop D2D relaying. | Graph theory | Throughput |
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[41] | Resource sharing in D2D communication for a mmwave and 4G system architecture with TDMA-based MAC structure | Nonlinear integer programming Heuristic resource sharing scheme | Network capacity |
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[42] | Maximization of mmwave D2D throughput by joint allocation of transmit angle and time slot | Graph theory | Throughput |
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[43] | Minimize D2D link transmit power and maximize the achievable throughput | Stackelberg game | Transmit power Throughput |
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[44] | Optimize outage probability for uplink cellular and D2D communicating users for a D2D-enabled mmwave network with clustered D2D pairs | Stochastic geometry and Laplace transform | Outage probability |
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