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Advances, Systems and Applications

Table 1 Notations

From: Efficient task offloading using particle swarm optimization algorithm in edge computing for industrial internet of things

Symbol

Meaning

Di

The amount of data for the i-th task

Ci

CPU cycles needed to process each bit of data

Cu,i

CPU frequency of the i-th device

Cs,j

CPU frequency of the j-th MEC server

W

Transmission bandwidth

Si

Transmission power of the i-th device

Ai,j

Channel gain

N0

Noise power spectral density

ri,j

Transmission rate from local device i to the MEC server j

\(E_{\max }^{j}\)

Maximum energy consumption constraint of the j-th MEC server

g

Penalty factor

\(T_{i}^{j}\)

The total delay from local device i to the MEC server j

\(E_{i}^{j}\)

The energy consumption from the i-th device to the j-th MEC server

\(E_{calc,i}^{j}\)

Calculation energy consumption from the i-th device to the j-th MEC server

\(E_{tran,i}^{j}\)

Transmission energy consumption from the i-th device to the j-th MEC server

\(T_{mec,i}^{j}\)

Calculation delay from the i-th device to the j-th MEC server

\(T_{tran,i}^{j}\)

Transmission delay from the i-th device to the j-th MEC server

M

The number of tasks

N

The number of MEC servers