Evaluating the impact of different types of crossover and selection methods on the convergence of 0/1 Knapsack using Genetic Algorithm

10/07/2020
by   Waleed Bin Owais, et al.
0

Genetic Algorithm is an evolutionary algorithm and a metaheuristic that was introduced to overcome the failure of gradient based method in solving the optimization and search problems. The purpose of this paper is to evaluate the impact on the convergence of Genetic Algorithm vis-a-vis 0/1 knapsack. By keeping the number of generations and the initial population fixed, different crossover methods like one point crossover and two-point crossover were evaluated and juxtaposed with each other. In addition to this, the impact of different selection methods like rank-selection, roulette wheel and tournament selection were evaluated and compared. Our results indicate that convergence rate of combination of one point crossover with tournament selection, with respect to 0/1 knapsack problem that we considered, is the highest and thereby most efficient in solving 0/1 knapsack.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
08/16/2013

Genetic Algorithm for Solving Simple Mathematical Equality Problem

This paper explains genetic algorithm for novice in this field. Basic ph...
research
07/10/2020

Solving System of Nonlinear Equations with the Genetic Algorithm and Newton's Method

An implementation and an application of the combination of the genetic a...
research
01/15/2020

Analysis of Genetic Algorithm on Bearings-Only Target Motion Analysis

Target motion analysis using only bearing angles is an important study f...
research
03/19/2010

Nurse Rostering with Genetic Algorithms

In recent years genetic algorithms have emerged as a useful tool for the...
research
12/05/2005

Amazing geometry of genetic space or are genetic algorithms convergent?

There is no proof yet of convergence of Genetic Algorithms. We do not su...
research
08/23/2020

Compact 200 line MATLAB code for inverse design in photonics by topology optimization: tutorial

We provide a compact 200 line MATLAB code demonstrating how topology opt...
research
05/17/2022

Towards the optimization of ballistics in proton therapy using genetic algorithms: implementation issues

The dose delivered to the planning target volume by proton beams is high...

Please sign up or login with your details

Forgot password? Click here to reset