Table 1 Definitions of symbols.

From: An energy efficient hierarchical routing approach for UWSNs using biology inspired intelligent optimization

Symbol

Explanation

\(C_{elec}\)

Energy consumption of the electronic component

\(C_{amp}\)

Energy consumption of the signal amplifier

\(C_{da}\)

Energy consumption for data aggregation

\(C_{TX}\)

Energy consumption of the transmission module

\(C_{RX}\)

Energy consumption of the reception module

d

Communication distance

\(d_{0}\)

Threshold distance for energy consumption model

k

Length of the data packet (bits)

L

Length of the monitoring area side

N

Total number of nodes in the network

M

Number of cluster heads in the current round

\(w_{CH}\)

x-coordinate of a cluster head

\(h_{CH}\)

y-coordinate of a cluster head

\(w_{BS}\)

x-coordinate of the base station

\(h_{BS}\)

y-coordinate of the base station

\(dCH-BS\)

Average distance from cluster heads to the base station

\(C_{residual}\)

Average residual energy of all network nodes

\(w_1, w_2\)

Dynamic weighting factors for the fitness function

\(\sigma _A\)

Standard deviation of nodes’ residual energy

\(C_{thresh}\)

Energy threshold for node selection

\(\gamma\)

Cloning ratio parameter

\(\alpha , \beta , \delta\)

Hierarchical roles of gray wolves (alpha, beta, delta)

\(max\_iterations\)

Maximum number of algorithm iterations