Abstract
Harmony search algorithm (HSA) is a recent evolutionary algorithm used to solve several optimization problems. The algorithm mimic the improvisation behaviour of a group of musicians to find a good harmony. Several variations of HSA has been proposed to enhance its performance. In this paper, a new variation of HSA that uses multi-parent crossover is proposed (HSA-MPC). In this technique three harmonies are used to generate three new harmonies that will replace the worst three solution vectors in the harmony memory (HM). The algorithm has been applied to solve a set of eight real world numerical optimization problems (1-8) introduced for IEEE-CEC2011 evolutionary algorithm competition. The experiemental results of the proposed algorithm is compared with the original HSA, and two variations of HSA: global best HSA and tournament HSA. The HSA-MPC almost always shows superiority on all test problems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Geem, Z.W., Kim, J.H., Loganathan, G.V.: A New Heuristic Optimization Algorithm: Harmony Search. Simul. 76, 60–68 (2001)
Al-Betar, M.A., Khader, A.T.: A Harmony Search Algorithm for University Course Timetabling. Ann. Oper. Res., 1–29 (2010)
Geem, Z.W.: Harmony Search Applications in Industry. Soft Comput. Appl. Ind. 226, 117–134 (2008)
Ingram, G., Zhang, T.: Overview of Applications and Developments in the Harmony Search Algorithm. In: Geem, Z.W. (ed.) Music-Inspired Harmony Search Algorithm. SCI, vol. 191, pp. 15–37. Springer, Heidelberg (2009)
Taleizadeh, A.A., Niaki, S.T.A., Barzinpour, F.: Multiple-Buyer Multiple-Vendor Multi-product Multi-constraint Supply Chain Problem with Stochastic Demand and Variable Lead-Time: A Harmony Search Algorithm. Appl. Math. Comput. 217, 9234–9253 (2011)
Wang, L., Pan, Q.K., Tasgetiren, M.F.: A Hybrid Harmony Search Algorithm for the Blocking Permutation Flow Shop Scheduling Problem. Comput. Ind. Eng. 61, 76–83 (2011)
Goldberg, D.E.: Genetic Algorithms in Search, Optimization and Machine Learning. Addison Wesley (1989)
Durand, N., Alliot, J.M.: Genetic Crossover Operator for Partially Separable Functions. In: Proceedings of the Third Annual Genetic Programming Conference (1998)
Goldberg, D., Deb, K., Korb, B.: Messy Genetic Algorithms: Motivation, Analysis, and First Results. Complex Syst. 3, 493–530 (1989)
Mitchell, M.: An Introduction to Genetic Algorithms. MIT Press, Cambridge (1996)
Al-Betar, M.A., Khader, A.T., Liao, I.Y.: A Harmony Search Algorithm with Multi-pitch Adjusting Rate for University Course Timetabling. In: Geem, Z.W. (ed.) Recent Advances In Harmony Search Algorithm, vol. 270, pp. 147–162. Springer, Heidelberg (2010)
Omran, M.G.H., Mahdavi, M.: Global-Best Harmony Search. Appl. Math. Comput. 198, 643–656 (2008)
Pan, Q.K., Suganthan, P.N., Tasgetiren, M.T., Liang, J.J.: A Self-adaptive Global Best Harmony Search Algorithm for Continuous Optimization Problems. Appl. Math. Comput. 216, 830–848 (2010)
Wang, C.M., Huang, Y.F.: Self-adaptive Harmony Search Algorithm for Optimization. Expert Syst. Appl. 37, 2826–2837 (2010)
Elsayed, S.M., Sarker, R.A., Essam, D.L.: Ga with A New Multi-parent Crossover for Solving IEEE-CEC2011 Competition Problems. In: 2011 IEEE Congress on Evolutionary Computation (CEC), pp. 1034–1040 (2011)
Das, S., Suganthan, P.N.: Problem Definitions and Evaluation Criteria for the CEC 2011 Competition on Testing Evolutionary Algorithms on Real World Optimization Problems. Technical Report, Nanyang Technological University, Singapore (2011)
Al-Betar, M.A., Doush, I.A., Khader, A.T., Awadallah, M.A.: Novel Selection Schemes for Harmony Search. Appl. Math. Comput. (2011)
Mahdavi, M., Fesanghary, M., Damangir, E.: An Improved Harmony Search Algorithm for Solving Optimization Problems. Appl. Math. Comput. 188, 1567–1579 (2007)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Doush, I.A. (2012). Harmony Search with Multi-Parent Crossover for Solving IEEE-CEC2011 Competition Problems. In: Huang, T., Zeng, Z., Li, C., Leung, C.S. (eds) Neural Information Processing. ICONIP 2012. Lecture Notes in Computer Science, vol 7666. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34478-7_14
Download citation
DOI: https://doi.org/10.1007/978-3-642-34478-7_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34477-0
Online ISBN: 978-3-642-34478-7
eBook Packages: Computer ScienceComputer Science (R0)