\(\mathcal {S}\)
|
Set of all sensor nodes
|
\(\mathcal {M}\)
|
Set of sectors of directional antenna
|
P
t
|
Transmission probability
|
r
|
Communication radius of each sensor
|
\(\mathcal {K}\)
|
Delay tuning parameter
|
A
|
Deployment area of the network
|
ρ
|
Network density
|
\(\mathcal {T}_{a}\)
|
Neighbor table of node \(a \in \mathcal {S}\)
|
E
n
|
Expected number of nodes in the neighborhood
|
\(\mathcal {N}_{e}^{m}\)
|
Number of expected neighbor nodes in a sector \(m \in \mathcal {M}\)
|
\(\mathcal {N}_{d}^{m}\)
|
Number of discovered neighbor nodes after an iteration
|
\(\mathcal {F}\)
|
Flag indicating a neighbor is discovered directly or indirectly
|
\(\mathcal {R}\)
|
Iteration for neighbor discovery
|
x
′
|
Mini sub-slot of a slot x
|
δ
m
|
Parameter that tunes \(\mathcal {K}\)
|