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Problem Size Reduction using Basis Vectors: Part I -- Concept
The design variables or problem dimension can be obtained from the given basis solution vectors. That means we are solving the problem by...
Adisorn O.
Feb 18, 20241 min read
8 views

Adisorn O.
Feb 17, 20240 min read
14 views

Adisorn O.
Feb 16, 20240 min read
34 views

Adisorn O.
Feb 15, 20240 min read
19 views

PSO algorithm for Multi-Objective Optimization: Part 1- Development Concept
Adisorn Owatsiriwong, D.Eng. The PSO framework for Multi-objective optimization (MOO) can be evolved from PSO code for single-objective...
Adisorn O.
Feb 6, 20241 min read
15 views

Introduction to Particle Swarm Optimization (Diagrams GPT)
Mindmap Flow chart
Adisorn O.
Feb 4, 20241 min read
6 views

Solving nonlinear constrained optimization -- Part 1 equality constraint)
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...
Adisorn O.
Dec 10, 20231 min read
3 views

Example: Maximize flow for a trench section
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) =...
Adisorn O.
Dec 6, 20231 min read
4 views

Example: Solving nonlinear constraint optimization problem using Lagrange Multiplier
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...
Adisorn O.
Dec 6, 20231 min read
8 views

F90 subroutine for Gauss Elimination with partial pivoting
! Main Program PROGRAM SolveLinearSystem IMPLICIT NONE REAL, DIMENSION(3, 3) :: A REAL, DIMENSION(3) :: b INTEGER :: n ! Define the...
Adisorn O.
Dec 6, 20232 min read
9 views
FORTRAN 95 Cheat Sheet
! Program Structure: PROGRAM ProgramName ! Declarations and statements CONTAINS ! Subroutines and functions END PROGRAM ProgramName !...
Adisorn O.
Dec 3, 20231 min read
9 views

Multi-Objective Optimization Problems: Part 1
Adisorn Owatsiriwong, D.Eng. In real life, the best solution that fulfills a single objective function might not be the best solution for...
Adisorn O.
Oct 14, 20234 min read
36 views

Adisorn O.
May 1, 20230 min read
16 views

Newton-Raphson Method for solving nonlinear equation system and unconstrainted optimization problem
[updated 6.12.2023] For optimization problem, the optimum solution of (x1,x2) is found by setting the derivative of objectives of...
Adisorn O.
Apr 29, 20231 min read
18 views
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