Table 4 Summary of parameter settings for NCRBMO and competitive algorithms on the CEC2017.

From: Hybrid prediction system for reliable multi-seasonal sustainable energy generation under meteorological and environmental volatility

Algorithm

Parameter Name

Value/Range

Parameter Description

Function and Impact

NCRBMO*

N

30 (fixed)

Population size

Determines the breadth of algorithm search capability

T

500 (fixed)

Maximum iterations

Controls algorithm termination condition

Dim

30 (fixed)

Problem dimension

Number of variables in the optimization problem

φ

0.5

Switching coefficient

Controls which phase the algorithm enters

p

[2, 5] default

Small group size

Number of randomly selected individuals for calculating small group mean

q

[10, N] default

Large group size

Number of randomly selected individuals for calculating large group mean

F

0.5

Local exploitation attack step factor

Controls step size in local exploitation phase

γ

1.5 (fixed)

Lévy flight distribution parameter

Controls heavy-tailed characteristics of Lévy flight steps

µ

Normal(0, σ) random selection

Random direction vecto

Introduce random scaling to change the step size.

ν

Normal(0, 1) random selection

Random scaling vector

Introduce random scaling to change the step size.

m

dim/2

Boundary dimension threshold

Dimension boundary separating Tent mapping and Chebyshev mapping

n

{2,3,4,5} random selection

Chebyshev polynomial order

Controls complexity and diversity of Chebyshev mapping: n = 2(unimodal), n = 3(bimodal), n = 4(multimodal), n = 5(complex distribution)

α

0.499

Tent mapping parameter

Controls piecewise linear characteristics of Tent mapping, affects ergodicity of chaotic sequences

Q

[0,1] uniform distribution

Normal cloud model selection probability

Q ≥ 0.5 uses normal cloud model for position update

Ex

BestX

Normal cloud model expectation

Uses current optimal solution as expectation center

En

exp(t/T)

Normal cloud model entropy

Increases exponentially with iteration, controlling distribution range

He

En/10^(−3)

Normal cloud model superentropy

Controls entropy uncertainty, affects search diversity

PO

α_PO

rand(1)/5

Behavior regulation factor

Controls behavior step size, varies randomly with iteration

θ_PO

rand(1) * π

Angle parameter

Random angle value affecting search direction

St

[1, 4] random integer

Behavior selection parameter

Determines which behavior strategy the parrot adopts

H

[0,1] uniform distribution

Communication behavior sub-strategy selection probability

H < 0.5 uses mean-based strategy, H ≥ 0.5 uses exponential decay strategy

HO

I1, I2

[1, 2] random integer

Exploration phase coefficients

Control coefficients in position update formula

Ip1

[0, 1] random integer

Inverse correlation coefficient

Increases randomness

α_HO

5 different methods random selection

Coefficient matrix

Contains 5 different random coefficient generation methods, increasing diversity

b

[2, 4] uniform distribution

Predator defense parameter b

Controls numerator coefficient in defense formula

c

[1, 1.5] uniform distribution

Predator defense parameter c

Controls denominator constant in defense formula

d

[2, 3] uniform distribution

Predator defense parameter d

Controls cosine term coefficient in defense formula

l

[−2π, 2π] uniform distribution

Angle parameter

Controls angle value of cosine function