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Table 1 A summary of key notations

From: Reference-based fair MAC algorithm in Wi-Fi WLANs with capture effect

State variables

τ i (t)

Transmission probability of the node in the class-i at the time t

p i s(t)

Success probability of the transmission of a node in the class-i at the time t

p i (t)

Probability that a node in the class-i transmits simultaneously with other node at the time t

p i capture(t)

Probability that the transmission of the node in class-i is successfully received when its transmissions simultaneously occurs with other node

T i (t)

Waiting time of the node in class-i, i.e., number of virtual slots between two consecutive successful transmissions

W i (t)

CW size of the node in class i at the time t

System parameters

M

Number of classes in the system

N i

Number of nodes in the class i

N

Total number of nodes, i.e., N = N1 + N2 + · · · + N M

Control parameters

α and β

Control parameters

T ref

Desired waiting time, i.e., target waiting time