Adisorn Owatsiriwong ALPS Consultants Introduction: Firefly algorithm is another metaheuristic approach for global optimization. The...

The design variables or problem dimension can be obtained from the given basis solution vectors. That means we are solving the problem by...

Adisorn Owatsiriwong, D.Eng. The PSO framework for Multi-objective optimization (MOO) can be evolved from PSO code for single-objective...

Mindmap Flow chart

Trapezoidal rule Simpson's 1/3 rule

NL optimization problem with equality constraint can be posted as: Min f(x) h_j(x) = 0, j = 1..n We can use Lagrange multiplier to...

The lower-bound and upper-bound collapse load theorems are fundamental concepts in structural engineering, particularly in the field of...

The F90 code is written by program app_1 implicit none real :: x, up, upp, u, dx real,parameter :: pi = 3.1416 integer :: i u(x) =...

The solution is L1 = 3.33 m, L2 = 6.67 m with Lambda = -0.5547. The value of lambda is negative in this problem. The F90 code is shown...

! Main Program PROGRAM SolveLinearSystem IMPLICIT NONE REAL, DIMENSION(3, 3) :: A REAL, DIMENSION(3) :: b INTEGER :: n ! Define the...

! Program Structure: PROGRAM ProgramName ! Declarations and statements CONTAINS ! Subroutines and functions END PROGRAM ProgramName !...

Since the sphere and Matyas functions contain only one global minimum, Gradient descent is effectively used to find that minimum at...

Adisorn Owatsiriwong, D.Eng. In real life, the best solution that fulfills a single objective function might not be the best solution for...

# Import the library import numpy as np # Create a 1D array a = np.array([1, 2, 3]) # Create a 2D array b = np.array([[1, 2, 3], [4, 5,...

# Import the library import pandas as pd # Create a DataFrame df = pd.DataFrame({'A': [1, 2, 3], 'B': [4, 5, 6]}) # Read a CSV file df =...