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Table 1 Description of symbols involved in LSO and ACIE_LSO algorithms

From: An Adaptive Lion Swarm Optimization Algorithm Incorporating Tent Chaotic Search and Information Entropy

Parameter

Meanings

N

Total number of lion populations

D

Total dimension of each lion position

\({x}_{i}=({x}_{i1},{x}_{i2},\cdots ,{x}_{iD})\)

Position of the ith lion

xij

The jth dimension of the ith lion

\({x}_{\mathrm{min},j}\);\({x}_{\mathrm{max},j}\)

Minimum and maximum values of the jth dimension, respectively

\({g}^{k}\)

Optimal position of the kth generation population

\({x}_{i}^{k+1}\)

The position of the ith lion in the kth iteration

\({p}_{i}^{k}\)

Historical optimal position of the ith lion for the kth generation

\({p}_{c}^{k}\)

Historical best position of partners randomly selected from the kth generation of lionesses

\({p}_{m}^{k}\)

The best position in the history of the kth generation of lion cubs following lionesses

\(\overline{{g }^{k}}\)

Location of the ith lion cub driven within the range of the hunt, \(\overline{{g }^{k}}=\overline{{x }_{\mathrm{max}}}+\overline{{x }_{\mathrm{min}}}-{g}^{k}\)

γ

Random numbers generated according to the normal distribution N(0,1)

\(\beta\)

Percentage of adult lions in the pride factor

\(\overline{{x }_{\mathrm{min}}}\),\(\overline{{x }_{\mathrm{max}}}\)

Minimum and maximum mean values for each dimension of the lion’s activity range space

T, t

Maximum iterations and the current iteration, respectively

q

Probability factor of the lion cub behavior which satisfies uniform distribution U(0,1)

α1, α2

Random numbers in the range (0,1)

\({\alpha }_{f}\)

Lioness movement range perturbation factor, \({\alpha }_{f}={\alpha }_{1}\left(\overline{{x }_{\mathrm{max}}}-\overline{{x }_{\mathrm{min}}}\right)\mathrm{exp}{\left(-30t/T\right)}^{10}\)

\({\alpha }_{c}\)

Lion cub movement range perturbation factor, \({\alpha }_{c}={\alpha }_{2}(\overline{{x }_{\mathrm{max}}}-\overline{{x }_{\mathrm{min}}})(T-t)/T\)