Table 1 Notation
Notation | Definition | Notation | Definition |
|---|---|---|---|
N | data size of the task | \({{f}_{\text {loc}}},{{f}_{\text {AP}_i}},{{f}_{\text {C}}}\) | Computation capacity of the UE,AP and cloud |
\(\omega\) | CPU cycles for 1 bit | \(R_i\) | Ergodic rate between the UE and AP in mode \(i, i\in \Omega\) |
\(\kappa\) | Effective capacitance coefficient | \({{n}_{1}},{{n}_{2}}\) | Upper bounds of capacity of channel |
\({{B}_{1}},{{B}_{2}}\) | Transmit bandwidth of UE and AP | \(r_i\) | Ergodic rate between the AP and cloud in mode \(i, i\in \Omega\) |
\({{p}_{1}},{{p}_{2}}\) | Transmit power of the UE and AP | \({{v}_{1}},{{v}_{2}},{{v}_{3}}\) | Unit price of UE, AP and cloud |
\(\sigma ^{2}\) | Noise density | \(\lambda _i\) | Distribution density of F-AP(i=1) and AP(i=2) |
\(M_i\) | Coverage probability of mode \(i, i\in \Omega\) | \({{F}_{\min }},{{F}_{\max }}\) | Upper and lower bounds of coverage probability |
\(\varvec{\alpha },\beta\) | Optimized variables | \(T_i\) | Pre-set threshold of SNR value in mode \(i, i\in \Omega\) |
\(\Omega\) | Set of {1,2} | \(\Psi\) | Set of {1,2,3} |
\(Z_i\) | Charge of mode \(i, i\in \Psi\) | k | Probability of an AP supporting computation |
\(G_\mho , \mho \in \{\text {loc,AP,C}\}\) | Prices per second for computing delay at UE, AP and the cloud | P | Expect charge of the system |