Algorithm 1 Algorithm for determining the nearly optimal EH time for the system

Input:$\alpha \in \left[0,\dots ,1\right]$

Output:${\alpha }^{*}$ (${\alpha }^{*}$ is the optimal point)

1:functionLoop($\alpha \left[\right]$) 2:    ${\alpha }^{*}$← 0; 3:    $\Delta \alpha$←$0.001$; 4:    ${\mathcal{P}}_{out,\mathcal{I}}^{\Xi *}$← 1; 5:    L←$length\left(\alpha \right)$; 6:    for $l\leftarrow 0$ to $L-1$ do 7:        if $\mathcal{P}{}_{out,I_i}^{\Xi *}>{\mathcal{P}}_{out,\mathcal{I}}^{\Xi }(\Delta \alpha )$ then 8:           ${\alpha }^{*}$←$\Delta \alpha$; 9:           ${\mathcal{P}}_{out,\mathcal{I}}^{\Xi *}\leftarrow {\mathcal{P}}_{out,\mathcal{I}}^{\Xi }(\Delta \alpha )$; 10:           $\Delta \alpha$←$\Delta \alpha +l$; 11:        else 12:           $break$; 13:        end if 14:    end for 15:    return ${\alpha }^{*}$; 16:end function