Table 2 Lista of notations.

From: Optimizing resource allocation for IoT applications in the edge cloud continuum using hybrid metaheuristic algorithms

Notation

Description

Β

Trade-off factor between cost and makespan

\(C\left({T}_{i}\right)\)

Total execution cost

\(M({T}_{i})\)

Total makespan

CRP

Cloud resource provider

D(t)

Diversity of the population at iteration t

ERP

Edge resource provider

F

Pareto front (set of non-dominated solutions)

L

Levy flight step size

RU

Resource user

T

Set of tasks

VM

Virtual machine

F

Objective function value

P

Adaptive probability for switching between global and local pollination

T

Iteration index

X

Binary decision variable indicating execution location (1 for edge, 0 for cloud)

Y

Binary variable representing task-resource assignment

PIR

Percentage improvement

\(\varphi\)

Scalability