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Advances, Systems and Applications

Table 2 Symbols

From: Energy-efficient allocation for multiple tasks in mobile edge computing

Symbol

Description

\(\mathcal {N}\)

Set of mobile devices \(\{1,...,N\}\)

\({\mathcal {T}}_i\)

Set of tasks of mobile device i

\(t_{ij}\)

Task j of mobile device i

\(size_{ij}\)

Data size of task \(t_{ij}\)

\(b_{ij}\)

Required number of CPU cycles of task \(t_{ij}\)

\(d_{ij}^l\)

Number of local CPU cycles assigned to task \(t_{ij}\)

\(d_{ij}^r\)

Number of remote CPU cycles assigned to task \(t_{ij}\)

\(r_i\)

Uplink data rate of mobile device \(i\in {\mathcal {N}}\)

\(f_i^l\)

Local computational capability of mobile device \(i\in {\mathcal {N}}\)

\(f^r\)

Remote computational capability of MEC server

\(runtime_{ij}^{req}\)

Deadline of task \(t_{ij}\)

\(runtime_{ij}^l\)

Local processing duration of task \(t_{ij}\)

\(runtime_{ij}^{tra}\)

Transmission duration of task \(t_{ij}\)

\(runtime_{ij}^{pro}\)

Remote processing duration of task \(t_{ij}\)

\(runtime_{ij}^r\)

Total remote duration of task \(t_{ij}\)

\(E_{ij}^l\)

Energy consumption of local computation for task \(t_{ij}\)

\(E_{ij}^r\)

Energy consumption of remote computation for task \(t_{ij}\)