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Advances, Systems and Applications

Table 1 Symbol system

From: An edge server deployment method based on optimal benefit and genetic algorithm

Symbol

Implication

G

Mobile Service Computing network

V

The node of Mobile Service Computing

E

Connection during base station and edge server of Mobile Service Computing network

B

The set of mobile correspondence base station

n

Quantity of mobile communication base station

S

Set of edge server

K

Quantity of edge server

\(E_s\)

Set of base stations responsible for every edge server

\(t_b\)

The workload of base station b, where \(b\in B\)

\(t_s\)

The workload successfully assigned to edge server

\(t_c\)

Edge servers deploy additional fixed load

\(T_s\)

The workload of the edge server s, where \(s\in S\)

\(T_s^{opt}\)

Optimal number of cost-effective deployments of edge servers

\(\rho\)

The optimal benefits of edge servers

\(l_b\)

Situation of base station b

\(l_s\)

Situation of edge server s

d

Communication delay among edge server and basestation

\(K_s\)

Optimal deployment amount of edge servers

p

Probability of a base station choosing an edge server

\(P_s\)

Probability of successful allocation of all base stations