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Table 1 Assumptions

From: Evaluation of a duty-cycled asynchronous X-MAC protocol for vehicular sensor networks

Symbol

Quantity

N

Number of nodes in the network

T

Length of a cycle

W

Contention window size in units of a time slot

M

Queue capacity in units of a data packet

m

Number of data packet in queue

S

Data packet size

ı,ȷ

the state of node

P ı,ȷ

the probability of transition from state ı to state ȷ for the node

p f

Probability of transmission failure of data packet

p s

Probability of successfully transmission of data packet

n

Number of sensor nodes in specified area

ρ

Density of sensor nodes

T r

Transmission range

T s

Sensing range

T I

Interference range

λ

Expected data packet arrival rate at the MAC layer

A ı

Probability of ı data packets arriving in a cycle

π

The stationary distribution of the Markov model

τ

The probability of an arbitrary node transmitting in time slot

D

Packet delay