Table 1 Description of characters.

From: An improved energy saving clustering method for IWSN based on Gaussian mutation adaptive artificial fish swarm algorithm

Character

Description

IWSNs

Industrial wireless sensor networks

BS

Base station

CH , CM

Cluster head and cluster member

GAAFSA

Gaussian mutated adaptive artificial fish swarm algorithm

\({\mu _{fs}}\),\({\mu _{amp}}\)

Power amplification parameter for free space transmission and for multi-path attenuation transmission

\({E_{elec}}\)

Energy needed for transmitting circuit and receiver circuit

d

Communication distance

p

Sent data packets size

Etx(p, d)

Energy consumption of a node when transmitting p bits of data to a node at a distance of d

Erx(d)

Energy required for a node to receive p bits of data

cls

Number of CH nodes in the current cluster

\(Del_{tran}\),\(Del_{prop}\),\(Del_{proc}\),\(Del_{que}\)

Transmission delay, propagation delay, processing delay and queuing delay

Del,Loss

Delay and packet loss rate in communication process

\(\sigma\)

QoS control factor

\(Fit_{ener}\),\(Fit_{QoS}\),\(Fit_{dis}\)

Enegry fitness, QoS fitness and distance fitness before being normalized

\(Fit_{max}^{ener}\),\(Fit_{max}^{QoS}\),\(Fit_{max}^{dis}\)

Maximum enegry fitness, QoS fitness and distance fitness

\(Fit_{min}^{ener}\),\(Fit_{min}^{QoS}\),\(Fit_{min}^{dis}\)

Minimum enegry fitness, QoS fitness and distance fitness

\(Fit_{norm}^{ener}\),\(Fit_{norm}^{QoS}\),\(Fit_{norm}^{dis}\)

Normalized enegry fitness, QoS fitness and distance fitness

\(\tau\),\(\phi\),\(\psi\)

The weights of enegry fitness, QoS fitness and distance fitness

Final

Final Fitness of the proposed GAAFSA