Resource Allocation in Millimeter-Wave Device-to-Device Networks

Table 2

Comparison based on performance metrics, network scenario, and solution method and tools.

Performance metric	Reference	Network scenario	Solution method and tools	Direction of communication
Energy efficiency	[28]	Single cell, multiple relays, multiple D2D pairs	Lagrange multiplers, Gale–shapley and Hungarian-based simulation	Uplink
	[36, 37]	Dual band (microwave and mmwave), heterogeneous multicell multiple cellular users, multiple D2D users	Nonlinear optimization, weighted-Tchebycheff technique and matching-theory simulation	Uplink
Transmit power	[28]	Single cell, sectored antenna multiple relays, multiple D2D pairs	Shannon capacity model, Lagrange multipliers, Gale–shapley and Hungarian-based simulation	Uplink
	[31]	Single cell, sectored antenna, full duplex multiple relays, multiple D2D relays, three-sectored antenna	Shannon capacity relation, bipartite graph construction,; Hungarian algorithm simulation	Uplink
	[39]	Single cell, clustered into different classes, multiple D2D users	Shannon capacity, particle swarm optimization simulation in MATLAB	Uplink
	[43]	Single cell, multiple D2D users, multiple cellular users	Shannon capacity relation, stackelberg game simulation	Uplink
Jain’s fairness Index	[28]	Multiple relays, multiple D2D pairs	Lagrangian multipliers, Gale–shapley and Hungarian-based simulation	Uplink
	[29]	Single cell, sectored antenna, multihop D2D users, multiple cellular users operating in TDD mode	Dijkstra’s algorithm and Lagrangian decomposition	Downlink
	[32]	Single cell, sectored antenna, multiple D2D users, multiple cellular users	Rician fade modelling, Monte Carlo simulation	Uplink
User throughput or sum rate or achievable rate	[29]	Single cell, multiple D2D users, multiple cellular users operating in TDD mode	Dijkstra’s algorithm and Lagrangian multipliers	Downlink
	[30]	Single cell, multiple D2D users, multiple cellular users	Heuristic MATLAB simulation	Uplink
	[31]	Full duplex multiple relays, multiple D2D relays, three-sectored antenna	Bipartite graph construction; Hungarian algorithm simulation	Uplink
	[32]	Single cell, sectored antenna, multiple D2D users, multiple cellular users	Rician fading modelling and Monte Carlo simulation	Uplink
	[33]	Multicell, IEEE 802.15.3c antenna model, multiple D2D pairs, multiple cellular users	Coalition formation game modelling	Uplink
	[34]	Single cell, multiple D2D pairs, multiple cellular users	Heuristic simulation	Uplink
	[35]	Hetnet single cell, dual band, multiple D2D pairs, multiple cellular users	Coalition game modelling	Uplink
Network capacity	[35]	Hetnet single cell, dual band, multiple D2D pairs, multiple cellular users	Shannon capacity relation and coalition game modelling	Uplink
Outage probability	[36, 37]	Dual band (microwave and mmwave), heterogeneous multicell, multiple cellular users, multiple D2D users	Nonlinear optimization and matching theory simulation	Uplink
	[44]	Multiple clustered D2D users, multiple cellular users	SINR modelling for cellular and D2D users	Uplink