Symbol	Description
LD(i)	LoRa device i
CH	Cluster head
$N_{pr}$	Number of symbols in a packet preamble
$N_{pl}$	Number of symbols in a payload
$L_{packet}$	Size of the transmitted packet
${\rho }_i$	Density of LDs in a particular SF
$\lambda$	Density of LoRa devices
$\mathsf{\Theta }$	Virtual partition threshold point
$R_b$	Bit rate
$A^{\left(i\right)}$	LDs metric attribute
$T_{SF\left(i\right)}$	Time on air for single transmission of LD(i)
$T_{symbol}$	Time for transmitting a symbol
$I_{SF\left(i\right)}$	Interferers in SF region
$P_{opt}$	Optimal partition point
$P_{suc}^i\left(loc\left(x\right)\right)$	Success probability
$P_{avg}(loc\left(x\right),{\mathsf{\Theta }}_{th})$	Average success probability
$L_{Ni}$	Link quality
$E_{sleep\_N_i}\left(t\right)$	Energy dissipated in light-sleep mode
$E_s\left(i\right)$	Energy consumption
$E_{total\_N_i}\left(t\right)$	Total amount of consumed energy
$E_{r{e}_{Ni\left(t\right)}}$	Residual energy of a LoRa node
$L{D}_{max}$	Maximum number of LoRa devices
$L{D}_{min}$	Minimum number of LoRa devices
$W\left(N_i\right)$	Combined relay parameters with weights
$R_{N_i}^{*}$	Optimal rank
$dist(n_i,n_j)$	Euclidean distance
$D_{ratio}(n_i,N_i)$	Minimum distance ratio between nodes
$P\left(C\right|A^{\left(i\right)})$	Probability of LD(i) becoming the CH