Lagrange's multiplier based resource management for energy efficient D2D communication in 5G networks

Device to device communication is the predominantly renowned trait for the 5G network and IoT applications. In the work, proposed novel joint low power/energy efficient resource allocation with mode selection for the D2D communication underlay in-band with transmit power, interference, data rate constraints are investigated with formulation of a novel problem which integrates the three major modules (resource management, mode selection, and power management) of D2D communication into one. To achieve the low power/energy efficient resource allocation with mode selection, we formulate novel optimization problem with objective of maximizing the energy efficiency using the subtractive form method to solve fractional objective function and form an iterative algorithm. The formulated fractional optimization problem is transformed into min–max problem and solved by the Lagrange dual function with low transmit power, interference, data rate constraints as a lagrange multipliers via an iterative process to achieve the optimal low power. Numerical analysis exemplifies and validates the optimal low power and the energy efficient characteristics of the novel proposed algorithm with all constraints to ensure the quality of the communication for the D2D communication, 5G, and IoT applications with the industrial need of low power/energy efficient devices to promote the conservation of energy and green communication.