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Table 1 Most frequently used modeling notations

From: Analysis of hidden terminal’s effect on the performance of vehicular ad-hoc networks

Notation

Description

ξ

Total number of lanes

ω

Width of the lane (m)

α

Vehicle density (vehicles/lane/km)

D

BSM application data packet size (bytes)

x

Ceil(x): smallest integer greater than or equals to x

SD

Symbol duration (μs)

R

Data rate (bits/s)

T DATA

Time required to transmit a data packet

S DATA

Number of timeslots needed to transmit the data packet

σ

Size of the timeslot (μs)

R c

Communication range (m)

R cs

Channel (carrier) sensing range (m) (1.5 × Rc)

N c

Number of nodes in the communication range

N cs

Number of nodes in the channel sensing range

λ

Packet generation rate in each node (Hz)

V

Set of vehicular nodes

C

Set of communication sets of the nodes

H(vi, vj)

Set of hidden terminals for the transmitter vi and receiver vj pair

P h

Probability of collision due to hidden terminals

P Tx

Probability of transmission in a slot

N h

Average number of hidden terminal nodes for 2-D VANET

T vul

Vulnerable time

S vul

Number of slots in the vulnerable time

P d

Probability of data availability in the MAC queue

b(s)

Value of backoff counter at state s in the Markov Chain

f(s)

Value of freezing slot at state s in the Markov Chain

τ

Stationary probability of data transmission in a slot

\( {\overline{M}}_D \)

Average (mean) MAC delay

W 0

Constant contention window size

F

Number of continuous slots in the freezing state