Hybrid optimization technique coupling an evolutionary algorithm and chaotic local search

Main Article Content

abd allah A. mousa

Abstract

Evolutionary algorithms (EAs) are randomized heuristics for search and optimization that are based on principles derived from natural evolution. Mutation, recombination, and selection are iterated with the goal of driving a population of candidate solutions toward better and better regions of the search space. Since the underlying idea is easy to grasp and almost no information about the problem to be optimized is necessary in order to apply it, EAs are widely used in many practical disciplines, mainly in computer science and engineering. However, they are time consuming algorithms that are unpractical from the industrial viewpoint, and they are very poor in terms of Global convergence performance. On the other hand, local search algorithms can converge quickly to these local minima and get stuck in a local optimum solution. In this paper, chaotic local search is proposed as a neighborhood search engine to improve the solution quality, where it intends to explore the less-crowded area in the current archive to possibly obtain more nondominated solutions. Finally, various kinds of multiobjective (MO) benchmark problems have been reported to stress the importance of hybridization algorithms in generating Pareto optimal sets for multiobjective optimization problems.

Downloads

Download data is not yet available.

Article Details

How to Cite
mousa, abd allah A. (2014). Hybrid optimization technique coupling an evolutionary algorithm and chaotic local search. Journal of Global Research in Mathematical Archives(JGRMA), 2(1), 01–10. Retrieved from https://jgrma.com/index.php/jgrma/article/view/149
Section
Research Paper

References

K. Miettinen "Non-linear multiobjective optimization" Dordrecht: Kluwer Academic Publisher; (2002).

Chankong V. and Hiams Y. Y., Multiobjective decision making: theory and methodology, New York: Northholland, (1983).

Steuer, R. E., Multiple criteria optimization: theory, computation and application'. Newyork:Willy, (1986).

C. M. Fonseca and P. J. Fleming, An overview of evolutionary algorithms in multiobjective optimization, Evolutionary Computation 3(1):1-16,(1995).

A. A. Mousa , M. A. El-Shorbagy , Enhanced particle swarm optimization based local search for reactive power compensation problem, Applied Mathematics 2012,3,1276-1284.

Abd Allah A. Galal, Abd Allah A. Mousa, Bekheet N. Al-Matrafi , Ant Colony Optimization Approach Based Genetic Algorithms for Multiobjective Optimal Power Flow Problem under Fuzziness, Applied Mathematics, 2013, 4, 595-603, doi:10.4236/am.2013.44084.

Abd Allah A. Galal, Abd Allah A. Mousa, Bekheet N. Al-Matrafi , Hybrid Ant Optimization System for Multiobjective Optimal Power Flow Problem Under Fuzziness, Journal of Natural Sciences and Mathematics, Vol. 6, No. 2, pp179-199, July 2013.

A. A. Mousa , B. N. AL-Matrafi , Optimization methodology based on neural networks and reference point algorithm applied to fuzzy multiobjective optimization problems, International Journal of Scientific & Engineering Research, Volume 4, Issue 11, November 2013.

B. N. AL-Matrafi , A. A. Mousa ,Optimization methodology based on Quantum computing applied to Fuzzy practical unit commitment problem, International Journal of Scientific & Engineering Research, Volume 4, Issue 11, November-2013 1138.

J.D. Schaffer, Multiple objective optimization with vector evaluated genetic algorithms, in: J.J. Grefenstette, et al. (Eds.), Genetic Algorithms and Their Applications, Proceedings of the 1st International Conference on Genetic Algorithms, Lawrence Erlbaum, Mahwah, NJ, pp. 93–100(1985)..

J. Horn, N. Nafpliotis, D.E. Goldberg, A niched Pareto genetic algorithm for multiobjective optimization, in: J.J. Grefenstette et al. (Eds.), IEEE World Congress on Computational Intelligence, Proceedings of the 1st IEEE Conference on Evolutionary Computation, IEEE Press, Piscataway, NJ, pp. 82–87(1994).

N. Srinivas, and K. Deb, " Multiobjective Optimization Using Nondominated Sorting In Genetic Algorithms " Evolutionary Computation ,2(3): 221-248 (1999).

K. Deb, S. Agrawal, A. Pratab, T. Meyarivan, A fast elitist non-dominated sorting genetic algorithms for multiobjective optimization: NSGA II, KanGAL report 200001, Indian Institute of Technology, Kanpur, India, (2000).

E. Zitzler, L. Thiele, Multiobjective optimization using evolutionary algorithmsa comparative case study. In A. E. Eiben, T. Back, M. Schoenauer and H. P. Schwefel (Eds.), Fifth International Conference on Parallel Problem Solving from Nature (PPSN-V), Berlin, Germany, pp. 292 – 301,(1998).

E. Zitzler, M. Laumanns, L. Thiele, SPEA2: Improving the strength Pareto evolutionary algorithm for multiobjective optimization, in: Evolutionary methods for design, optimization and control with applications to industrial problems, EUROGEN 2001, Athens, Greece, (2001).

J.D. Knowles, D.W. Corne, The Pareto archived evolution strategy: a new baseline algorithm for multiobjective optimization, in: Proceedings of the 1999 Congress on Evolutionary Computation, IEEE Press, Piscataway, NJ, pp. 98–105,( 1999).

J.D. Knowles, D.W. Corne, M-PAES: a memetic algorithm for multiobjective optimization, in: Proceedings of the 2000 Congress on Evolutionary Computation, IEEE Press, Piscataway, NJ, 2000, pp. 325–332, (2000).

Goldberg, D. E. ," Genetic Algorithms in Search, Optimization and Machine Learning". Addison Wesley Publishing company ,(1989).

Holland, J.H., " Adaptation Natural and artificial systems". The University of Michigan press, AnnArbor,USA,1975.

Deb, K , "An introduction to genetic algorithms", Sadhana, vol. 24, parts 4&5, August & October, pp 93-315,(1999).

Gen, M. and Cheng, R., "Genetic Algorithms and Engineering Optimization". John Wily & Sons New York, (2000).

Michalewicz, Z., "Genetic Algorithms + Data Structures = Evolution Programs." Springer-Verlag, 3rd Edition, (1996).

Ahmed A. EL-Sawy, Mohamed A. Hussein, EL-Sayed M. Zaki, A. A. Mousa, An Introduction to Genetic Algorithms: A survey A practical Issues, International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January-2014.

Deb, K. "Multi-objective optimization using evolutionary algorithms" NY, USA: Wiley (2001).

Osman M.S., M.A.Abo-Sinna, and A.A. Mousa " IT-CEMOP: An Iterative Co-evolutionary Algorithm for Multiobjective Optimization Problem with Nonlinear Constraints" Journal of Applied Mathematics & Computation (AMC) 183, pp373-389, (2006),

A.A.mousa, Study on multiobjective optimization using improved genetic algorithm: methodology and application, ISBN 978-3-8465-4889-9, Lambert academic publishing GmbH& Co.kG, Berlin,2011.

B. Liu, L. Wang, Y.-H. Jin, Improved particle swarm optimization combined with chaos, Chaos Solutions & Fractals 25 (5) (2005) 1261-1271.

Vincent Kelner, Florin Capitanescu, Olivier Léonard, LouisWehenkel, A hybrid optimization technique coupling an evolutionary and alocal search algorithm ,Journal of Computational and Applied Mathematics 215 (2008) 448 – 456.

Ruhul Sarker , Hussein A. Abbass, and Samin Karim , An Evolutionary Algorithm for Constrained Multiobjective Optimization Problems , at the 5th Australasia-Japan JointWorkshop University of Otago, Dunedin, New Zealand November 19 th -21st 2001.

J. Golinski, Optimal Synthesis Problems Solved by Means of Nonlinear Programming and Random Methods, Journal of Mechanisms, Vol. 5, pp. 287-309, (1970).