Optimization Lab 3/3

How to Apply Gauss Elimination in the Simplex Algorithm

Optimization Lab

Adisorn O.

Feb 17, 20240 min read

Simplex Algorithm for Linear Programming Problem: part 2 -- How does it work?

Optimization Lab

Adisorn O.

Feb 16, 20240 min read

Simplex Algorithm for Linear Programming Problem: Part 1- Concept

Optimization Lab

Adisorn O.

Feb 15, 20240 min read

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...

Optimization Lab

Adisorn O.

Feb 6, 20241 min read

Introduction to Particle Swarm Optimization (Diagrams GPT)

Mindmap Flow chart

Optimization Lab

Adisorn O.

Feb 4, 20241 min read

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...

Optimization Lab

Adisorn O.

Dec 10, 20231 min read

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) =...

Optimization Lab

Adisorn O.

Dec 6, 20231 min read

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...

Optimization Lab

Adisorn O.

Dec 6, 20231 min read

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...

Numerical Methods

Adisorn O.

Dec 6, 20232 min read

FORTRAN 95 Cheat Sheet

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

Optimization Lab

Adisorn O.

Dec 3, 20231 min read

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...

AI Lab

Adisorn O.

Oct 14, 20234 min read

Linear Systems: Gauss Elimination with Partial Pivoting

Numerical Methods

Adisorn O.

May 1, 20230 min read

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...

Numerical Methods

Adisorn O.

Apr 29, 20231 min read