Table 1 NOTATION LIST
From: Intelligent computing for WPT–MEC-aided multi-source data stream
Notation | Definition |
|---|---|
K | Number of devices |
\(U_k\) | kth device |
\(\Gamma\) | Duration of a time slot |
\(\alpha _k\) | Duration ratio of the WPT at device \(U_k\) |
\(\beta\) | Energy harvesting efficiency coefficient |
\(p_t\) | Transmission power at the PB |
\(g_k\) | Wireless Channel parameter from the PB to device \(U_k\) |
\(\rho _k\) | Offloading ratio at device \(U_k\) |
\(r_k\) | Transmission rate from device \(U_k\) to the CAP |
\(b_k\) | Wireless bandwidth allocate to device \(U_k\) |
B | Total wireless bandwidth at devices |
\(p_k\) | Transmit power at device \(U_k\) |
\(h_k\) | Wireless channel parameter from device \(U_k\) to the CAP |
\(d_k\) | Amount of the computational data stream at device \(U_k\) |
\(f_{k}\) | Computation capability at device \(U_k\) |
\(\xi _{k}\) | Energy consumption coefficient of |
the processor chip locally at device \(U_k\) | |
\(f_\text{CAP}\) | Computation capability at the CAP |
\({\mathcal {U}}(\cdot )\) | Uniform distribution |
\(d_{\min }\) | The smallest value of the computational data stream |
\(d_{\max }\) | The largest value of the computational data stream |
\(T_k\) | Latency after WPT at device \(U_k\) |
\(E_k\) | Energy consumption at device \(U_k\) |
\(T_k^\text{trans}\) | Transmission latency at device \(U_k\) |
\(E_k^\text{trans}\) | Transmission energy consumption at device \(U_k\) |
\(E_k^\text{local}\) | Device \(U_k\)’s calculated energy consumption at local |
\(T_k^\text{local}\) | Device \(U_k\)’s calculated latency at local |
\(T_k^{CAP}\) | Calculated latency at the CAP |
\(T_k^{EH}\) | Charge latency at device \(U_k\) |
\(EH_k\) | Harvested energy at device \(U_k\) |
\(T_{total}\) | System latency |
J | Number of particles |
\({\varvec{P_j^i}}\) | The position of the jth particle at the ith iteration |
\({\varvec{V_j^i}}\) | The velocity of the jth particle at the ith iteration |
\(\omega\) | Inertia factor |
\({\varvec{pbest_j}}\) | Optimal position at particle j |
\({\varvec{gbest}}\) | Optimal position at swarm |