Table 1 Parameter for evaluation

P _initial

Probablity that a UE initiates an attachment procedure

0.2

P

Probablity that a session is generated by UE

0.5

λ _k

Average arrival rate of session type‐k

0.4

\(\frac {1} {\mu _{k}}\)

Averate duration of session type‐k

0.05

\({P_{i}} = \frac {1} {1 + \frac {\lambda _{k}}{\mu _{k}}}\)

Probability that a UE is in Idle state

1−P _i

Probability that a UE is in Connected state

S

Area of a considered region (k m ²)

500

Nue

Total number of UEs

\(\rho = \frac {\text {Nue}}{S}\)

UE density (UEs/ k m ²)

C

Total number of eNBs in a considered region

500

R _p

Average number of paging transmission per page

1.1

V

Velocity of UE

γ

Overlapping factor

1.2

\(r = \gamma \sqrt {\frac {S}{C\pi }}\)

Radius of a cell

L=2π r

Perimeter length of a cell (km)

\(R = \frac {\rho LV} {pi}\)

Crossing rate out of a cell (UEs/hour)

C _TAU

Tracking area size

P _r

GW relocation probability