An Implementation of an Initial Scale in Solving Binary Knapsack Problem Using a Genetic Algorithm

In this paper, we used a new operation in a Genetic Algorithm for solving the binary Knapsack problem depending on it’s LP Relaxation solution after eliminating the fractional part of the non-binary values. The benefit is to make a filter to the initial random population from the farness of the opti...

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Main Authors: Abbas Al-Bayati, Nawar Qubat
Format: Article
Language:Arabic
Published: Mosul University 2007-12-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
Online Access:https://csmj.mosuljournals.com/article_164015_75a093fe658afe47beeff7576b5a2e69.pdf
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author Abbas Al-Bayati
Nawar Qubat
author_facet Abbas Al-Bayati
Nawar Qubat
author_sort Abbas Al-Bayati
collection DOAJ
description In this paper, we used a new operation in a Genetic Algorithm for solving the binary Knapsack problem depending on it’s LP Relaxation solution after eliminating the fractional part of the non-binary values. The benefit is to make a filter to the initial random population from the farness of the optimal solution and unsuitable chromosomes. This good property will be fixed automatically in all generations in the Genetic Algorithm until reaching the optimal binary solution.
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spelling doaj.art-b859828b13e64986b933e4708036c1fd2022-12-21T19:15:00ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902007-12-0142435710.33899/csmj.2007.164015164015An Implementation of an Initial Scale in Solving Binary Knapsack Problem Using a Genetic AlgorithmAbbas Al-Bayati0Nawar Qubat1College of Computer Sciences and Mathematics University of Mosul, Mosul, IraqCollege of Computer sciences and Mathematics University of Mosul/IraqIn this paper, we used a new operation in a Genetic Algorithm for solving the binary Knapsack problem depending on it’s LP Relaxation solution after eliminating the fractional part of the non-binary values. The benefit is to make a filter to the initial random population from the farness of the optimal solution and unsuitable chromosomes. This good property will be fixed automatically in all generations in the Genetic Algorithm until reaching the optimal binary solution.https://csmj.mosuljournals.com/article_164015_75a093fe658afe47beeff7576b5a2e69.pdfgenetic algorithmbinary knapsack problemlp relaxation solution
spellingShingle Abbas Al-Bayati
Nawar Qubat
An Implementation of an Initial Scale in Solving Binary Knapsack Problem Using a Genetic Algorithm
Al-Rafidain Journal of Computer Sciences and Mathematics
genetic algorithm
binary knapsack problem
lp relaxation solution
title An Implementation of an Initial Scale in Solving Binary Knapsack Problem Using a Genetic Algorithm
title_full An Implementation of an Initial Scale in Solving Binary Knapsack Problem Using a Genetic Algorithm
title_fullStr An Implementation of an Initial Scale in Solving Binary Knapsack Problem Using a Genetic Algorithm
title_full_unstemmed An Implementation of an Initial Scale in Solving Binary Knapsack Problem Using a Genetic Algorithm
title_short An Implementation of an Initial Scale in Solving Binary Knapsack Problem Using a Genetic Algorithm
title_sort implementation of an initial scale in solving binary knapsack problem using a genetic algorithm
topic genetic algorithm
binary knapsack problem
lp relaxation solution
url https://csmj.mosuljournals.com/article_164015_75a093fe658afe47beeff7576b5a2e69.pdf
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