A distributed power control and mode selection algorithm for D2D communications

EURASIP Journal on Wireless Communications and Networking

Table 1 Iterations of the ALPF optimization method in an example scenario

Iteration	Points $(\begin{matrix} γ_{1}^{tgt} \\ γ_{2}^{tgt} \end{matrix})$	Objective function	Lagrange multipliers	Max. violation
0	$(\begin{matrix} 0 \\ 0 \end{matrix})$	357.133	$(\begin{matrix} 0 \\ 0 \\ 0 \end{matrix})$	0
1	$(\begin{matrix} 6.48572 \\ 1.47024 \end{matrix})$	25.4479	$(\begin{matrix} 0 \\ 0 \\ 0 \end{matrix})$	0.0659845
2	$(\begin{matrix} 6.48727 \\ 1.47633 \end{matrix})$	25.4411	$(\begin{matrix} 0 \\ 0 \\ 1.31969 \end{matrix})$	0.0684702
3	$(\begin{matrix} 6.47661 \\ 1.44415 \end{matrix})$	25.4818	$(\begin{matrix} 0 \\ 0 \\ 1.31969 \end{matrix})$	0.0548636
4	$(\begin{matrix} 6.46081 \\ 1.39942 \end{matrix})$	25.555	$(\begin{matrix} 0 \\ 0 \\ 1.31969 \end{matrix})$	0.035204
5	$(\begin{matrix} 6.4493 \\ 1.36862 \end{matrix})$	25.6172	$(\begin{matrix} 0 \\ 0 \\ 1.31969 \end{matrix})$	0.0211488
6	$(\begin{matrix} 6.44168 \\ 1.34844 \end{matrix})$	25.6633	$(\begin{matrix} 0 \\ 0 \\ 1.31969 \end{matrix})$	0.0117258
7	$(\begin{matrix} 6.43088 \\ 1.3186 \end{matrix})$	25.7391	$(\begin{matrix} 0 \\ 0 \\ 6.39165 \end{matrix})$	<0.01