Algorithm 1 Optimal caching, cloud, and joint computing (CCJ) algorithm.

1:Initialize$C_i,d_i,p^{\mathrm{c}},{\mathcal{K}}_1=0,{\mathcal{K}}_2=0,{\mathcal{K}}_3=0$, and other known parameters; 2: for $i=1:\left|\mathcal{K}\right|$ do 3:    if $a_k=1$ then 4:        Calculate $E_k^{\mathrm{cache}}$ according to (14); 5:        $k\to {\mathcal{K}}_1;$ 6:    else 7:        Calculate $E_k^{\mathrm{cloud}}$ according to (15); 8:        Calculate $E_k^{\mathrm{joint}}$ according to (17); 9:        if $E_k^{\mathrm{cloud}}<E_k^{\mathrm{joint}}$ then 10:            ${\gamma }_k=1;$ 11:            $k\to {\mathcal{K}}_2;$ 12:        else 13:            ${\gamma }_k=0;$ 14:            $k\to {\mathcal{K}}_3;$ 15:        end if 16:    end if 17: end for 18:Calculate ${\sum }_i^{{\mathcal{K}}_1}{E}_i^{\mathrm{cache}}$, ${\sum }_j^{{\mathcal{K}}_2}{E}_j^{\mathrm{cloud}}$, ${\sum }_i^{{\mathcal{K}}_3}{E}_k^{\mathrm{joint}}$ 19:Calculate $E^{\mathrm{ave}}$ according to (13);