Equilibrium Single Evolution Based Cuckoo Search Algorithm
FU Wen-yuan
1. College of Information Science and Engineering, Huaqiao Univesity, Xiamen, Fujian 361002, China;
2. School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, Guangdong 510006, China;
3. Xiamen Key Laboratory of ASIC System, Xiamen, Fujian 361008, China;
4. Fujian Engineering Research Center of Motor Control and System Optimal Schedule, Xiamen, Fujian 361002, China
Abstract:For the whole evaluation strategy in cuckoo search algorithm in the face of multi-dimension function optimization problems,the coupling phenomena among dimensions will deteriorate the search speed and convergence accuracy.Therefore,a new cuckoo search algorithm based on the equilibrium single evolution mechanism is proposed.Then,a new equilibrium single evolution evaluation strategy is also used to update randomly the single dimension of the objective function on each iteration.Note that the randomly updated dimensions obey the uniform distribution to avoid mutual interference between dimensions.Furthermore,two new random walking update laws are proposed to improve the global search speed and convergence accuracy.The results of the 10 benchmark functions and statistical significance demonstrate that ESCES algorithm has a great improvement in global optimization performance,search speed and convergence accuracy compared with the five modified CS algorithms and seven other state-of-the art algorithms.
[1] Yang X S,Deb S.Engineeringoptimisation by Cuckoo search[J].International Journal of Mathematical Modelling & Numerical Optimisation,2010,1(4):330-343.
[2] Basu M,Chowdhury A.Cuckoo search algorithm for economic dispatch[J].Energy,2013,60(7):99-108.
[3] El-Maleh A H,Sait S M,Bala A.State assignment for area minimization of sequential circuits based on cuckoo search optimization[J].Computers & Electrical Engineering,2015,44(14):13-23.
[4] Zhu X,Wang N.Cuckoo search algorithm with membrane communication mechanism for modeling overhead crane systems using RBF neural networks[J].Applied Soft Computing,2017,56:458-471.
[5] Xiao L,Shao W,Yu M,et al.Research and application of a hybrid wavelet neural network model with the improved cuckoo search algorithm for electrical power system forecasting[J].Applied Energy,2017,198:203-222.
[6] Sun W,Sun J.Daily PM2.5 concentration prediction based on principal component analysis and LSSVM optimized by cuckoo search algorithm[J].Journal of Environmental Management,2017,188(1):144-152.
[7] Aziz M A E.Source localization using TDOA and FDOA measurements based on modified cuckoo search algorithm[J].Wireless Networks,2017,23(2):487-495.
[8] Radovan R.Bulatovic,Stevan R.Dordevic,Vladimir S.Dordevic.Cuckoo search algorithm:A metaheuristic approach to solving the problem of optimum synthesis of a six-bar double dwell linkage[J].Mechanism and Machine Theory,2013,61(1):1-13.
[9] Han W,Xu J,Zhou M,et al.Cuckoo search and particle filter-based inversing approach to estimating defects via magnetic flux leakage signals[J].IEEE Transactions on Magnetics,2016,52(4):1-11.
[10] Srivastav A,Agrawal S.Multi-objective optimization of slow moving inventory system using cuckoo search[J].Intelligent Automation & Soft Computing,2017,3(6):1-7.
[11] Yamany W,El-Bendary N,Hassanien A E,et al.Multi-objective cuckoo search optimization for dimensionality reduction[J].Procedia Computer Science,2016,96(8):207-215.
[12] Wang Z,Li Y.Irreversibility analysis for optimization design of plate fin heat exchangers using a multi-objective cuckoo search algorithm[J].Energy Conversion & Management,2015,10(1):126-135.
[13] Piechocki J,Ambroziak D,Palkowski A,et al.Use of modified cuckoo search algorithm in the design process of integrated power systems for modern and energy self-sufficient farms[J].Applied Energy,2014,114(114):901-908.
[14] Nadjemi O,Nacer T,Hamidat A,et al.Optimal hybrid PV/wind energy system sizing:Application of cuckoo search algorithm foralgerian dairy farms[J].Renewable & Sustainable Energy Reviews,2017,70:1352-1365.
[15] Walton S,Hassan O,Morgan K,et al.Modified cuckoo search:A new gradient free optimization algorithm[J].Chaos Solitons & Fractals,2011,44(9):710-718.
[16] Valian E,Tavakoli S,Mohanna S,et al.Improved cuckoo search for reliability optimization problems[J].Computers & Industrial Engineering,2013,64(1):459-468.
[17] Li X T,Yin M H.Modified cuckoo search algorithm with self adaptive parameter method[J].Information sciences,2015,298(12):80-97.
[18] Walton S,Hassan O,Morgan K,et al.Modified cuckoo search:A new gradient free optimisation algorithm[J].Chaos Solitons & Fractals,2011,44(9):710-718.
[19] Fateen S E K,Bonilla-Petriciolet A.A note on effective phase stability calculations using a Gradient-Based Cuckoo Search algorithm[J].Fluid Phase Equilibria,2014,375(6):360-366.
[20] Xiao L,Shao W,Yu M,et al.Research and application of a hybrid wavelet neural network model with the improved cuckoo search algorithm for electrical power system forecasting[J].Applied Energy,2017,198:203-222.
[21] Cheung N J,Ding X M,Shen H B.A nonhomogeneous cuckoo search algorithm based on quantum mechanism for real parameter optimization[J].IEEE Transactions on Cybernetics,2017,47(2):391-402.
[22] Zhong Y,Liu X,Wang L,et al.Particle swarm optimisation algorithm with iterative improvement strategy for multi-dimensional function optimisation problems[J].International Journal of Innovative Computing & Applications,2012,4(3):223-232.
[23] Ren W J,Pan Q K,Liang J J.An improved harmony search algorithm for multi-dimensional function optimization problem[A].IEEE Fifth International Conference on Bio-Inspired Computing:Theories and Applications[C].IEEE,2010.391-395.
[24] 王李进,尹义龙,钟一文.逐维改进的布谷鸟搜索算法[J].软件学报,2013,24(11):2687-2698. Wang L J,Yi Y L,Zhong Y W.Cuckoo search algorithm with dimension by dimension improvement[J].Journal of Software,2013,24(11):2687-2698.(in Chinese)
[25] Valian E,Tavakoli S,Mohanna S,et al.Improved cuckoo search for reliability optimization problems[J].Computers & Industrial Engineering,2013,64(1):459-468.
[26] Li X,Yin M.A particle swarm inspired cuckoo search algorithm for real parameter optimization[J].Soft Computing,2016,20(4):1389-1413.
[27] Nguyen T T,Vo D N.The application of one rank cuckoo search algorithm for solving economic load dispatch problems[J].Applied Soft Computing,2015,37(C):763-773.
[28] Ma L B,Zhu Y L,Zhang D Y,et al.A hybrid approach to artificial bee colony algorithm[J].Neural Computing & Applications,2016,27(2):387-409.
[29] Gao W F,Huang L L,Liu S Y,et al.Artificial bee colony algorithm based on information learning[J].IEEE Transactions on Cybernetics,2015,45(12):2827-2939.
[30] Wu Z,Yu D.Application of improved bat algorithm for solar PV maximum power point tracking under partially shaded condition[J].Applied Soft Computing,2018,62(C):101-109.
[31] Li Y,Bai X,Jiao L,et al.Partitioned-cooperative quantum-behaved particle swarm optimization based on multilevel thresholding applied to medical image segmentation[J].Applied Soft Computing,2017,56(C):345-356.
[32] Singh S,Jagdish J,Bansal C,et al.Accelerating artificial bee colony algorithm with adaptive local search[J],Memetic Computing,2015,7(3):215-230.
[33] Portilla-Flores E A,Sánchez-Márquez A,Flores-Pulido L,et al.Enhancing the harmony search algorithm performance on constrained numerical optimization[J].IEEE Access,2017,(99):1-21.
[34] He L,Huang S.Modified firefly algorithm based multilevel thresholding for color image segmentation[J].Neurocomputing,2017,240:152-174.