Home Site Statistics  |   Contact  |   About Us       Sunday, April 18, 2021   

Pj0182295- Back to Home

Skip Navigation Links.

   Skip Navigation LinksHOME ›  AREAS OF EXPERTISE ›   Optimization Methods ›  ~ Evolution Method

"Optimization Solution"
Differential Evolution Optimization Method
MIN: Iterations + BestValue


Enter new iteration:
Iteration =

Differential Evolution Method Optimization

This method may be considered as a random-search technique. Stochastic methods are efficient techniques for finding the global minimum of a function with multiple variables. In general, thse type of optimization techniques are inspired by biological processes and are called evolutionary algorithms.

Several advantages of using evolutionary algorithms over the traditional optimization methods include:

  • Optimize with continous or discrete variables.
  • Usually do not require derivative information.
  • Deal with a large number of variables.
  • Work with numerically generated data, experimental data, or analytical functions.

Algorithm Creation

Using the "peaks" function, which is used extensively in Matlab:

f(x,y) = 3(1-x)2 e-x2 - (y + 1)2 - 10( 1/5x - x3 - y5) e-x2

This function has several local minima and maxima. It is also possible to find the global maximum for the peaks function by simply returning the negative value of the function.

Testing the Differential Evolution Method

To test it out we find the the minimum and maximum points of the peaks function. We ran the program using different iteration parameters(4). The user can manipulate and test it further by manually entering new iterations.

Supporting code and methods are not shown.

Other Implementations...

Object-Oriented Implementation
Graphics and Animation
Sample Applications
Ore Extraction Optimization
Vectors and Matrices
Complex Numbers and Functions
Ordinary Differential Equations - Euler Method
Ordinary Differential Equations 2nd-Order Runge-Kutta
Ordinary Differential Equations 4th-Order Runge-Kutta
Higher Order Differential Equations
Nonlinear Systems
Numerical Integration
Numerical Differentiation
Function Evaluation

Consulting Services - Back to Home

Home Math, Analysis,

Eigen Inverse Iteration
Rayleigh-Quotient Method
Cubic Spline Method


Applied Mathematical Algorithms

Home A complex number z = x + iy, where...

Complex Functions
Home Non-linear system methods...

Non Linear Systems
Home Construction of differentiation...

Home Consider the function where...

About Us

KMP Engineering is an independent multidisciplinary engineering consulting company specializing in mathematical algorithms.

Contact Us

2461 E Orangethorpe Ave Fullerton, CA 92631 USA info@keystoneminingpost.com
Site Map

   Areas of Expertise
   Reference Items
   Managed Services

Mining & Software Engineering

Since 2006 All Rights Reserved  © KMP Engineering LINKS | PRIVACY POLICY | LEGAL NOTICE