Table 2 Numerical validation parameters

${\lambda }_{\text{min}}^i$

iid rv between 10 and 384 k b p s with uniform distribution

${\lambda }_{\text{max}}^i$

iid rv between 100 and 2 M b p s with uniform distribution

S

800 MHz

C _i

iid rv between 100 and 10⁷ with uniform distribution

$R_i^{\text{min}}$

iid rv between 0 and 100 k b p s with uniform distribution

$R_i^{\text{max}}$

iid rv between 10 and 250 k b p s with uniform distribution

${\chi }_i^{\text{dep}}$

iid rv between 0 and 1 with uniform distribution

${\chi }_i^{\text{indep}}$

iid rv between 0 and 1 with uniform distribution

$D_i^{\text{th}}$

iid rv between 50 m s and 20 s with uniform distribution

T D _i

iid rv between 0 and 100 K B with uniform distribution

$R_k^{\text{max}}$

Maximum achievable transmission rate through using k th

interface

${\mathit{\text{Dw}}}_k^{\text{th}}$

50 m s interface

D w _k

iid rv between 10 and 250 k b p s with uniform distribution

${\alpha }_k^w$

iid rv between 10 and 250 k b p s with uniform distribution

μ _k

k^th iid rv between 100 k b p s and 2 M b p s with uniform

distribution

${\beta }_j^n$

iid rv between 20 m s and 5 s with uniform distribution

${\alpha }_j^{\mathit{\text{DL}}}$

Cost coefficient of downlink traffic of j th cloud server

${\alpha }_j^{\mathit{\text{UL}}}$

Cost coefficient of uplink traffic of j th cloud server

${\alpha }_j^{\text{comp}}$

Cost coefficient cloud computation of j th cloud

P_maint(k)

iid rv between 120 and 400 m w with uniform distribution for

WiFi interfaces and iid rv between 500 and 800 m W

P _comp

2.34×10^-10W/H e r t z