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Advances, Systems and Applications

Table 1 Definitions of symbols used in algorithms 1, 2 and 3

From: Near real-time optimization of fog service placement for responsive edge computing

Symbol

Definition

E

all edge nodes in the service topology

F

all fog nodes in the swirl

Ex

an edge node in the service topology

|E|

the number of items in E

Fx

a fog node in the service topology

|F|

the number of items in F

e

an edge node without a service provider

F(e)

fog nodes ordered by distance from e

E(Fx)

edge nodes serviced by Fx

A

set of active fog nodes

De,f

distance between edge node e and fog node f

De

distances of edge node e to all fog nodes

d

a distance according to the chosen metric

dmax

maximum distance between an edge node and fog node

Rx,f

current level of resource x on fog node f

RLx,f

limit for resource x on fog node f

LLx,f

lower limit for resource x on fog node f

RDx

default resource x increase for a service client