Algorithm 2 Dynamic Edge Smart Service Migration.

Require:${\theta }_{max},v_i,V,S_{v_i},T{R}_{v_i,k},SCR,SC{R}_{S_{v_i},j,k}$

Ensure:$null$

1: ${\wp }_{v_i}={\sum }_{k=1}^{r_{v_i}}\frac{exp(TC{R}_{v_i,k}/T{R}_{v_i,k})}{{\sum }_{k^{{}^{\prime }}=1}^{r_{v_i}}exp(TC{R}_{v_i,k^{{}^{\prime }}}/T{R}_{v_i,k^{{}^{\prime }}})}\frac{TC{R}_{v_i,k}}{T{R}_{v_i,k}}$

2: if ${\theta }_{max}<{\wp }_{v_i}$ then

3:  while$j<\Vert S_{v_i}\Vert$ do

4:   $l_{S_{v_i,j}}={\sum }_{k=1}^{r_{v_i}}\frac{exp(SC{R}_{s_{v_i},j,k}/TC{R}_{v_i,k})}{{\sum }_{k^{{}^{\prime }}=1}^{r_{v_i}}exp(SC{R}_{s_{v_i},j,k^{{}^{\prime }}}/TC{R}_{v_i,k^{{}^{\prime }}})}\frac{SC{R}_{s_{v_i},j,k}}{TC{R}_{v_i,k}}$

5:  end while

6: $ser\Leftarrow getedgeservicewhichhasthemaximumvalue{l}_{S_{v_i,j}}$

7:  while $v_t\in Vand{v}_t\ne v_i$ do

8:   ${\Delta }_k={\sum }_{k=1}^{r_{v_i}}\frac{exp(SC{R}_{s_{v_i},j,k}/TC{R}_{v_i,k})}{{\sum }_{k^{{}^{\prime }}=1}^{r_{v_i}}exp(SC{R}_{s_{v_i},j,k^{{}^{\prime }}}/TC{R}_{v_i,k^{{}^{\prime }}})}SC{R}_{s_{v_i},j,k}$

9:   ${\wp }_{v_i}^{{}^{\prime }}={\sum }_{k=1}^{r_{v_i}}\frac{exp(TC{R}_{v_i,k}+SC{R}_{s_{v_i},j,k}+{\Delta }_k/T{R}_{v_i,k})}{{\sum }_{k^{{}^{\prime }}=1}^{r_{v_i}}exp(TC{R}_{v_i,k^{{}^{\prime }}+SC{R}_{s_{v_i},j,k^{{}^{\prime }}}+{\Delta }_k^{{}^{\prime }}}/T{R}_{v_i,k^{{}^{\prime }}})}\frac{TC{R}_{v_i,k}+SC{R}_{s_{v_i},j,k}+{\Delta }_k}{T{R}_{v_i,k}}$

10:   if ${\wp }_{v_i}^{{}^{\prime }}<{\theta }_{max}$ then

11:    $Add{v}_{i}to{E}_{h}set$

12:   end if

13:  end while

14:  while $v_t\in E_h$ do

15:   $Getthemaximumflowbandwidt{h}_{i,t}between{v}_{i}and{v}_t$

16:   $Computingthemigrationdela{y}_{i}between{v}_{i}and{v}_t$

17:  end while

18:  $dest\Leftarrow getedgeservicewhichhastheminimumdela{y}_{i,t}$

19:  if $dest==null$ then

20:   $dest=cloud$

21:  end if

22:  $stopService\left(ser\right)$

23:  $transfer(ser,dest)$

24: end if