Algorithm 2. CFNGS

Input: n, Emax, Emin, Pt, ${\eta }_p$, ${\eta }_d$, $p_i$, ei

Output: {t1,t2,…tn}

1: initial medial parameters: cn = 0 % charging times,               flag = 1 % end mark for charging

2: initial T, EMC according to Theorems 2 and 3

3: while (flag)

4:   solve Problem (11) with CVX tool

5:   for i = 1:n

6:    e(i) = E(i) + Pt × ${\eta }_p$ × ${\eta }_d$ × Tw − $p_i$ × T; %update nodes’ residual energy

7:    if e(i) ≥ Emin

8:      cn = cn + 1 9:      ouput {t1,t2,…tn}

10:    else

11:      flag = 0

12:    end if

13:  end for

14: end while