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Solving N Queen Problem using Genetic Algorithm

by Ahmed S. Farhan, Wadhah Z. Tareq, Fouad H. Awad
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 122 - Number 12
Year of Publication: 2015
Authors: Ahmed S. Farhan, Wadhah Z. Tareq, Fouad H. Awad
10.5120/21750-5005

Ahmed S. Farhan, Wadhah Z. Tareq, Fouad H. Awad . Solving N Queen Problem using Genetic Algorithm. International Journal of Computer Applications. 122, 12 ( July 2015), 11-14. DOI=10.5120/21750-5005

@article{ 10.5120/21750-5005,
author = { Ahmed S. Farhan, Wadhah Z. Tareq, Fouad H. Awad },
title = { Solving N Queen Problem using Genetic Algorithm },
journal = { International Journal of Computer Applications },
issue_date = { July 2015 },
volume = { 122 },
number = { 12 },
month = { July },
year = { 2015 },
issn = { 0975-8887 },
pages = { 11-14 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume122/number12/21750-5005/ },
doi = { 10.5120/21750-5005 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:10:21.071158+05:30
%A Ahmed S. Farhan
%A Wadhah Z. Tareq
%A Fouad H. Awad
%T Solving N Queen Problem using Genetic Algorithm
%J International Journal of Computer Applications
%@ 0975-8887
%V 122
%N 12
%P 11-14
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper, explain solution to find the 92 solution of n-Queen problem based on GA (Genetic Algorithm). The n-Queen problem become a Widespread platform for the AI researcher for implement their intelligence algorithms and try them. The Genetic algorithm used to solve the problem and each chromosome is be a solution for the problem and depending on the steps of the GA, The 92 solution, all possible solution for 8 Queen problem is founded. The represent of each chromosome have been by using one dimension array with size equal 8 contain only the queens which represent a one solution and the empty location are aborted to reduce the searching time.

References
  1. I. Martinjak and M. Golub, "Com-parison of Heuristic Algorithms for the N-Queen Problem", Proceedings of the ITI 2007 29th Int. Conf. on Information Technology Interfaces, June 25, 2007.
  2. K. D. Crawford, "Solving the N-Queens Problem Using GA", In Proceedings ACM/SIGAPP Symposium on Applied Computing, Kansas City, 1992, pages 1039-1047.
  3. Božikovi?, Marko, G. "paralleling genetic algorithm", Faculty of Electrical Engineering and Computing, Zagreb, 22. 05. 2006.
  4. Sloane, Neil J. A. , Number of ways of placing n non attacking queens on n x n board, The On-Line Encyclopedia of Integer Sequences id:A000170, http://www. research. att. com/~njas/sequence,s/A000170, (30. 01. 2007. )
  5. David E. Goldberg, Genetic algori-thms in search, optimization and machine learning, Addison-Wesley Publishing Company Inc. , Reading, MA, 1989.
  6. Kelly D. Crawford, "Solving n Queen problem using genetic algorithms", Tulsa University.
  7. Eric Cantú-Paz, "A summary of research on parallel genetic algorithms", Computer Science Department and The Illinois Genetic Algorithms (IlliGAL), University of Illinois at Urbana-Champaign, cantupaz@uiuc. edu
  8. Eric Cantú-Paz, "A survey of parallel genetic algorithms, Computer Science Department and The Illinois Genetic Algorithms Laboratory", University of Illinois at Urbana-Champaign, cantupaz@illigal. ge. uiuc. edu.
Index Terms

Computer Science
Information Sciences

Keywords

N-Queen Problem 8-Queen Problem Heuristic Techniques Genetic Algorithm (GA) Swarm Intelligence (SI).