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Table 1 Parameters setting for SQP, PS and GA respectively

From: Bio-inspired computational heuristics to study Lane–Emden systems arising in astrophysics model

Methods

Parameter

Setting

Parameter

Setting

SQP

Initial weight vector creation

Randomly between (−1, 1)

Maximum function evaluation

10000

Number of variable

30

Fitness limit

10−25

Total initial weight vectors

1000

X tolerance

10−25

Number of iterations

10000

Function tolerance

10−30

Derivative

By solvers

Nonlinear constraint tolerance

10−30

Finite difference type

Central

Upper bound

−10

Hessian

BFGS

Lower bound

10

Algorithm

SQP

Others

Default

PS

Solver

Pattern search

Maximum size

Inf

Start point

Randn (1, 30)

Scale

On

Poll method

GPS positive 2N

Bind tolerance

10−03

Complete poll

Off

Maximum iteration

2000

Polling order

Consecutive

Max function evaluation

1,000,000

Initial size

1

X tolerance

10−25

Expansion factor

2

Function tolerance

10−30

Tolerance

Eps

Nonlinear constraint tolerance

10−30

Mesh tolerance

10−32

Plot

Function value

GA

Solver

GA

Pop type

Double vector

No of variables

30

Pop size

[30, 30, 30, 30, 30, 30, 30, 30, 30]

Time limit

Default

Initial range

[0,1]

Generations

1,000,000

Scaling fun

Rank

Stall generations

2000

Selection fun

Stochastic

Function tolerance

10−28

Interval

20

Nonlinear constraint tolerance

10−28

Fraction

0.2

Initial penalty

10

Plot

Best function

Penalty factor

100

Elite count

2

Crossover

Forward

Time limit

Inf

Direction

Forward

Other

Defaults