Abstract
Harmony search (HS), which is widely used in many fields, is a meta-heuristic algorithm. In each iteration, HS generates a new solution under the harmony search consideration rate (HMCR) from harmony memory (HM). And the new solution is fine-tuned through a pitch adjustment rate (PAR). The basic HS obtains a random value from HM for each variable of a solution, and adjusts it in a fixed range. For the sake of improving its performance, we present an enhanced harmony search based on quantum mechanism (QEHS), which incorporates quantum concepts and differential mutation operation into the harmony search algorithm. QEHS reinforces the exploration and exploitation capability in search space, with the use of wave function from Schrödinger formula to express the harmony in HM. For reflecting the effectiveness of QEHS, simulations are carried on 30 benchmark functions from CEC2014. To manifest its feasibility, we compared the results of QEHS with that of other HS variants and some popular algorithms. Facts turn out that QEHS is an efficient and competitive algorithm.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Geem, Z.W., Kim, J.H., Loganathan, G.V.: A new heuristic optimization algorithm: harmony search. Simulation 76(2), 60–68 (2001)
Lee, K.S., Geem, Z.W.: A new structural optimization method based on the harmony search algorithm. Comput. Struct. 82(9–10), 781–798 (2004)
Lee, K.S., Geem, Z.W.: A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice. Comput. Methods Appl. Mech. Eng. 194(36–38), 3902–3933 (2005)
Moayedikia, A., Ong, K.-L., Boo, Y.L., et al.: Feature selection for high dimensional imbalanced class data using harmony search. Engineering Applications of Artificial Intelligence 5738-49 (2017)
Gandhi, T.K., Chakraborty, P., Roy, G.G., et al.: Discrete harmony search based expert model for epileptic seizure detection in electroencephalography. Expert Syst. Appl. 39(4), 4055–4062 (2012)
Landa-Torres, I., Manjarres, D., Salcedo-Sanz, S., et al.: A multi-objective grouping harmony search algorithm for the optimal distribution of 24-hour medical emergency units. Expert Syst. Appl. 40(6), 2343–2349 (2013)
Mahaleh, M.B.B., Mirroshandel, S.A.: Harmony search path detection for vision based automated guided vehicle. Robotics and Autonomous Systems 107156-166 (2018)
Chatterjee, A., Ghoshal, S., Mukherjee, V.: Solution of combined economic and emission dispatch problems of power systems by an opposition-based harmony search algorithm. Int. J. Electr. Power Energy Syst. 39(1), 9–20 (2012)
Assad, A., Deep, K.: Applications of harmony search algorithm in data mining: a survey. In: Proceedings of Fifth International Conference on Soft Computing for Problem Solving, pp. 863–874. Springer, Cham (2016). Doi: https://doi.org/10.1007/978-981-10-0451-3_77
Zhang, T., Geem, Z.W.: Review of harmony search with respect to algorithm structure. Swarm and Evolutionary Computation 4831-43 (2019)
Geem, Z.W.: Harmony search algorithms for structural design optimization. Vol. 239. Springer (2009)
Wang, X., Gao, X.-Z., Zenger, K.: An introduction to harmony search optimization method. Springer (2015)
Zhao, F., Liu, Y., Zhang, C., et al.: A self-adaptive harmony PSO search algorithm and its performance analysis. Expert Syst. Appl. 42(21), 7436–7455 (2015)
Kennedy, J., Eberhart, R.: Particle swarm optimization. In: Proceedings of ICNN'95-International Conference on Neural Networks, pp. 1942–1948. IEEE (1995)
Gheisarnejad, M.: An effective hybrid harmony search and cuckoo optimization algorithm based fuzzy PID controller for load frequency control. Applied Soft Computing 65121-138 (2018)
Yang, X.-S., Deb, S.: Cuckoo search via Lévy flights. In: 2009 World congress on nature & biologically inspired computing (NaBIC), pp. 210–214. IEEE (2009)
Portilla-Flores, E.A., Sánchez-Márquez, Á., Flores-Pulido, L., et al.: Enhancing the harmony search algorithm performance on constrained numerical optimization. IEEE Access 525759-25780 (2017)
Amaya, I., Cruz, J., Correa, R.: Harmony search algorithm: a variant with self-regulated fretwidth. Applied Mathematics and Computation 2661127–2661152 (2015)
Guo, Z., Wang, S., Yue, X., Yang, H.: Global harmony search with generalized opposition-based learning. Soft. Comput. 21(8), 2129–2137 (2015). https://doi.org/10.1007/s00500-015-1912-1
Keshtegar, B., Hao, P., Wang, Y., et al.: Optimum design of aircraft panels based on adaptive dynamic harmony search. Thin-Walled Structures 11837–11845 (2017)
Shor, P.W.: Algorithms for quantum computation: discrete logarithms and factoring. In: Proceedings 35th Annual Symposium on Foundations of Computer Science, pp. 124–134. IEEE (1994)
Qiao, W., Yang, Z.: Solving large-scale function optimization problem by using a new metaheuristic algorithm based on quantum dolphin swarm algorithm. IEEE Access 7138972–7138989 (2019)
Cheung, N.J., Ding, X.-M., Shen, H.-B.: A nonhomogeneous cuckoo search algorithm based on quantum mechanism for real parameter optimization. IEEE Trans. Cybern. 47(2), 391–402 (2016)
Xin-Gang, Z., Ji, L., Jin, M., et al.: An improved quantum particle swarm optimization algorithm for environmental economic dispatch. Expert Systems with Applications 152113370 (2020)
Agrawal, R., Kaur, B., Sharma, S.: Quantum based whale optimization algorithm for wrapper feature selection. Applied Soft Computing 89106092 (2020)
Schrödinger, E.: An undulatory theory of the mechanics of atoms and molecules. Phys. Rev. 28(6), 1049 (1926)
Liang, J.J., Qu, B.Y., Suganthan, P.N.: Problem definitions and evaluation criteria for the CEC 2014 special session and competition on single objective real-parameter numerical optimization. Computational Intelligence Laboratory, Zhengzhou University, Zhengzhou China and Technical Report, Nanyang Technological University, Singapore 635490 (2013)
Qin, A.K., Forbes. F.: Proceedings of the 13th annual conference on Genetic and evolutionary computation, pp. 545–552. ACM (2011)
Luo, K., Ma, J., Zhao, Q.: Enhanced self-adaptive global-best harmony search without any extra statistic and external archive. Information Sciences 482228-247 (2019).
Pan, Q.-K., Suganthan, P.N., Tasgetiren, M.F., et al.: A self-adaptive global best harmony search algorithm for continuous optimization problems. Appl. Math. Comput. 216(3), 830–848 (2010)
Zou, D., Gao, L., Wu, J., et al.: Novel global harmony search algorithm for unconstrained problems. Neurocomputing 73(16–18), 3308–3318 (2010)
Ouyang, H.-B., Gao, L.-Q., Li, S., et al.: Improved harmony search algorithm: LHS. Applied Soft Computing 53133-53167 (2017)
Abedinpourshotorban, H., Hasan, S., Shamsuddin, S.M., et al.: A differential-based harmony search algorithm for the optimization of continuous problems. Expert Systems with Applications 62317-62332 (2016)
Zhu, Q., Tang, X., Li, Y., et al.: An improved differential-based harmony search algorithm with linear dynamic domain. Knowledge-Based Systems 187104809 (2020)
Acknowledgements
The writer is exceedingly grateful to all the reviewers and editors who spent their time and energy on this paper. This study is sustained by the Nature Science Foundation of Fujian Province of P. R. China (No. 2019J01401, No. 2021J01127), and the Special Fund for Scientific and Technological Innovation of Fujian Agriculture and Forestry University (No. CXZX2019117S, No. CXZX2020148C, No. CXZX2020150C), and Educational Research Project for Young and Middle-aged Teachers of Fujian Provincial Department of Education (JA170179), and in part by the Open Project Program of Digital Fujian Tourism Big Data Institute under Grant DFJTBDRI2020103.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Liang, M., Deng, Y., Xiao, W., Wang, L., Zhong, Y. (2022). An Enhanced Harmony Search Based on Quantum Mechanism. In: Chu, SC., Lin, J.CW., Li, J., Pan, JS. (eds) Genetic and Evolutionary Computing. ICGEC 2021. Lecture Notes in Electrical Engineering, vol 833. Springer, Singapore. https://doi.org/10.1007/978-981-16-8430-2_5
Download citation
DOI: https://doi.org/10.1007/978-981-16-8430-2_5
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-16-8429-6
Online ISBN: 978-981-16-8430-2
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)