Apply Ant Colony Algorithm to Search All Extreme Points of Function

TL;DR

This paper explores the novel application of ant colony optimization (ACO) to find all extreme points of multimodal functions, demonstrating high accuracy with solution errors below 10^-8.

Contribution

It introduces a new approach using ACO for extremum problems, which is rarely reported in existing literature.

Findings

Solution error less than 10^-8

Effective in locating all extreme points of multimodal functions

Demonstrates the potential of ACO in complex optimization tasks

Abstract

To find all extreme points of multimodal functions is called extremum problem, which is a well known difficult issue in optimization fields. Applying ant colony optimization (ACO) to solve this problem is rarely reported. The method of applying ACO to solve extremum problem is explored in this paper. Experiment shows that the solution error of the method presented in this paper is less than 10^-8. keywords: Extremum Problem; Ant Colony Optimization (ACO)