Abstract
The possibility to get a set of Pareto optimal solutions in a single run is one of the attracting and motivating features of using population based algorithms to solve optimization problems with multiple objectives. In this paper, constrained multi-objective problems are tackled using an extended quantum behaved particle swarm optimization. Two strategies to handle constraints are investigated. The first one is a death penalty strategy which discards infeasible solutions that are generated through iterations forcing the search process to explore only the feasible region. The second approach takes into account the infeasible solutions when computing the local attractors of particles and adopts a policy that achieves a balance between searching in infeasible and feasible regions. Several benchmark test problems have been used for assessment and validation. Experimental results show the ability of QPSO to handle constraints effectively in multi-objective context. However, none of the two investigated strategies has been found to be the best in all cases. The first strategy achieved the best results in terms of convergence and diversity for some test problems whereas the second strategy did the same for the others.
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References
Sun, J., Feng, B., Xu, W.: Particle Swarm Optimization with Particles having Quantum Behavior. In: IEEE Proceedings of Congress on Evolutionary Computation, pp. 325–331 (2004)
Fang, W., Sun, J., Ding, Y., Wu, X., Xu, W.: A review of Quantum-behaved Particle Swarm Optimization. IETE Technical Review (2010)
Sun, J., Xu, W., Feng, B.: A Global Search Strategy of Quantum-behaved Particle Swarm Optimization. In: IEEE Conference on Cybernetics and Intelligent Systems, pp. 111–116 (2004)
Meshoul, S., Al-Owaisheq, T.: QPSO-MD: A Quantum Behaved Particle Swarm Optimization for Consensus Pattern Identification. In: Cai, Z., Li, Z., Kang, Z., Liu, Y. (eds.) ISICA 2009. CCIS, vol. 51, pp. 369–378. Springer, Heidelberg (2009)
Deb, K.: Multi-objective optimization using evolutionary algorithms. Wiley, Chichester (2001)
Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGAII. IEEE Transactions on Evolutionary Computation, 182–197 (2002)
Coello, C.A.: Constraint-Handling using an Evolutionary Multiobjective Optimization Technique. Civil Engineering and Environmental Systems 17, 319–346 (2000)
Coello, C.A., Pulido, G.T., Lechuga, M.S.: Handling multiple objectives with particle swarm optimization. IEEE Transactions on Evolutionary Computation, 256–279 (2004)
Sun, J., Lai, C.H., Xu, W.-B., Chai, Z.: A Novel and More Efficient Search Strategy of Quantum-Behaved Particle Swarm Optimization. In: Beliczynski, B., Dzielinski, A., Iwanowski, M., Ribeiro, B. (eds.) ICANNGA 2007. LNCS, vol. 4431, pp. 394–403. Springer, Heidelberg (2007)
Binh, T., Korn, U.: MOBES: A Multiobjective Evolution Strategy For Constrained Optimization Problems. In: Proceedings of the Third International Conference on Genetic Algorithms (Mendel 1997), pp. 76–182 (1997)
Abranham, A., Jain, L.: Evolutionary multiobjective optimization. In: Ajith, A., Lakhmi, J., Robert, G. (eds.) Evolutionary Multiobjective Optimization, Advanced Information and Knowledge Processing, pp. 1–6 (2005)
AlBaity, H., Meshoul, S., Kaban, A.: On Extending Quantum Behaved Particle Swarm Optimization to MultiObjective Context. In: Proceedings of the IEEE World Congress on Computational Intelligence (IEEE CEC 2012), pp. 996–1003 (2012)
Mostaghim, S., Teich, J.: Strategies for finding good local guides in multi-objective particle swarm optimization (mopso). In: Proceedings of the IEEE Swarm Intelligence Symposium, pp. 26–33 (2003)
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Al-Baity, H., Meshoul, S., Kaban, A. (2012). Constrained Multi-objective Optimization Using a Quantum Behaved Particle Swarm. In: Huang, T., Zeng, Z., Li, C., Leung, C.S. (eds) Neural Information Processing. ICONIP 2012. Lecture Notes in Computer Science, vol 7665. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34487-9_55
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DOI: https://doi.org/10.1007/978-3-642-34487-9_55
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