Enhanced leadership-inspired grey wolf optimizer for global optimization problems

Grey wolf optimizer (GWO) is a recently developed population-based algorithm in the area of nature-inspired optimization. The leading hunters in GWO are responsible for exploring the new promising regions of the search space. However, in some circumstances, the classical GWO suffers from the problem of premature convergence due to the stagnation at sub-optimal solutions. The insufficient guidance of search in GWO leads to slow convergence. Therefore, to alleviate from all the above issues, an improved leadership-based GWO called GLF–GWO is introduced in the present paper. In GLF–GWO, the leaders are updated through Levy-flight search mechanism. The proposed GLF–GWO algorithm enhances the search efficiency of leading hunters in GWO and provides better guidance to accelerate the search process of GWO. In the GLF–GWO algorithm, the greedy selection is introduced to avoid their divergence from discovered promising areas of the search space. To validate the efficiency of the GLF–GWO, the standard benchmark suite IEEE CEC 2014 and IEEE CEC 2006 are taken. The proposed GLF–GWO algorithm is also employed to solve some real-engineering problems. Experimental results reveal that the proposed GLF–GWO algorithms significantly improve the performance of the classical version of GWO.

[1]  Ali Madadi,et al.  Optimal Control of DC motor using Grey Wolf Optimizer Algorithm , 2014 .

[2]  Dipayan Guha,et al.  Load frequency control of interconnected power system using grey wolf optimization , 2016, Swarm Evol. Comput..

[3]  Wei Pan,et al.  Grey wolf optimizer for unmanned combat aerial vehicle path planning , 2016, Adv. Eng. Softw..

[4]  Mohamed A. Tawhid,et al.  Multidirectional Grey Wolf Optimizer Algorithm for Solving Global Optimization Problems , 2018, Int. J. Comput. Intell. Appl..

[5]  Kusum Deep,et al.  An Efficient Grey Wolf Optimizer with Opposition-Based Learning and Chaotic Local Search for Integer and Mixed-Integer Optimization Problems , 2019, Arabian Journal for Science and Engineering.

[6]  Jaspreet Singh Dhillon,et al.  Ameliorated grey wolf optimization for economic load dispatch problem , 2019, Energy.

[7]  MirjaliliSeyedali,et al.  Multi-objective grey wolf optimizer , 2016 .

[8]  Carlos A. Coello Coello,et al.  Engineering optimization using simple evolutionary algorithm , 2003, Proceedings. 15th IEEE International Conference on Tools with Artificial Intelligence.

[9]  K. Deb An Efficient Constraint Handling Method for Genetic Algorithms , 2000 .

[10]  Ashok Dhondu Belegundu,et al.  A Study of Mathematical Programming Methods for Structural Optimization , 1985 .

[11]  Mohd Herwan Sulaiman,et al.  Using the gray wolf optimizer for solving optimal reactive power dispatch problem , 2015, Appl. Soft Comput..

[12]  Xianhai Song,et al.  Application of particle swarm optimization to interpret Rayleigh wave dispersion curves , 2012 .

[13]  Hany M. Hasanien,et al.  Single and Multi-objective Optimal Power Flow Using Grey Wolf Optimizer and Differential Evolution Algorithms , 2015 .

[14]  Wei Cai,et al.  Grey Wolf Optimizer for parameter estimation in surface waves , 2015 .

[15]  S. N. Kramer,et al.  An Augmented Lagrange Multiplier Based Method for Mixed Integer Discrete Continuous Optimization and Its Applications to Mechanical Design , 1994 .

[16]  Dervis Karaboga,et al.  A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm , 2007, J. Glob. Optim..

[17]  H Nowacki,et al.  OPTIMIZATION IN PRE-CONTRACT SHIP DESIGN , 1973 .

[18]  Tapabrata Ray,et al.  A socio-behavioural simulation model for engineering design optimization , 2002 .

[19]  Xin-She Yang,et al.  Nature-Inspired Metaheuristic Algorithms , 2008 .

[20]  Jianjun Jiao,et al.  A modified augmented Lagrangian with improved grey wolf optimization to constrained optimization problems , 2017, Neural Computing and Applications.

[21]  T. Jayabarathi,et al.  Economic dispatch using hybrid grey wolf optimizer , 2016 .

[22]  Ardeshir Bahreininejad,et al.  Mine blast algorithm: A new population based algorithm for solving constrained engineering optimization problems , 2013, Appl. Soft Comput..

[23]  Oscar Castillo,et al.  A fuzzy hierarchical operator in the grey wolf optimizer algorithm , 2017, Appl. Soft Comput..

[24]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[25]  Ponnuthurai Nagaratnam Suganthan,et al.  Problem Definitions and Evaluation Criteria for the CEC 2014 Special Session and Competition on Single Objective Real-Parameter Numerical Optimization , 2014 .

[26]  Nikolaus Hansen,et al.  A restart CMA evolution strategy with increasing population size , 2005, 2005 IEEE Congress on Evolutionary Computation.

[27]  R. Coppinger,et al.  Wolf-pack (Canis lupus) hunting strategies emerge from simple rules in computational simulations , 2011, Behavioural Processes.

[28]  Leandro dos Santos Coelho,et al.  Multi-objective grey wolf optimizer: A novel algorithm for multi-criterion optimization , 2016, Expert Syst. Appl..

[29]  Hossein Nezamabadi-pour,et al.  BGSA: binary gravitational search algorithm , 2010, Natural Computing.

[30]  E. Sandgren,et al.  Nonlinear Integer and Discrete Programming in Mechanical Design Optimization , 1990 .

[31]  Marco Dorigo,et al.  Optimization, Learning and Natural Algorithms , 1992 .

[32]  Kathryn A. Dowsland,et al.  Simulated Annealing , 1989, Encyclopedia of GIS.

[33]  Qiang Tu,et al.  Multi-strategy ensemble grey wolf optimizer and its application to feature selection , 2019, Appl. Soft Comput..

[34]  J. Arora,et al.  A study of mathematical programmingmethods for structural optimization. Part II: Numerical results , 1985 .

[35]  Seyed Mohammad Mirjalili How effective is the Grey Wolf optimizer in training multi-layer perceptrons , 2014, Applied Intelligence.

[36]  Jianjun Jiao,et al.  An exploration-enhanced grey wolf optimizer to solve high-dimensional numerical optimization , 2018, Eng. Appl. Artif. Intell..

[37]  Sirapat Chiewchanwattana,et al.  An improved grey wolf optimizer for training q-Gaussian Radial Basis Functional-link nets , 2014, 2014 International Computer Science and Engineering Conference (ICSEC).

[38]  Amir Hossein Gandomi,et al.  Benchmark Problems in Structural Optimization , 2011, Computational Optimization, Methods and Algorithms.

[39]  Mohamed A. Tawhid,et al.  A Hybrid grey wolf optimizer and genetic algorithm for minimizing potential energy function , 2017, Memetic Computing.

[40]  Tarun Kumar Sharma,et al.  Improved Local Search in Artificial Bee Colony using Golden Section Search , 2012, ArXiv.

[41]  Emile H. L. Aarts,et al.  Simulated Annealing: Theory and Applications , 1987, Mathematics and Its Applications.

[42]  Andrew Lewis,et al.  Grey Wolf Optimizer , 2014, Adv. Eng. Softw..

[43]  Tao Yu,et al.  Grouped grey wolf optimizer for maximum power point tracking of doubly-fed induction generator based wind turbine , 2017 .

[44]  MirjaliliSeyedali Moth-flame optimization algorithm , 2015 .

[45]  Rajesh Kumar,et al.  β-Chaotic map enabled Grey Wolf Optimizer , 2019, Appl. Soft Comput..

[46]  Russell C. Eberhart,et al.  A new optimizer using particle swarm theory , 1995, MHS'95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science.

[47]  Jing J. Liang,et al.  Comprehensive learning particle swarm optimizer for global optimization of multimodal functions , 2006, IEEE Transactions on Evolutionary Computation.

[48]  Peter Rossmanith,et al.  Simulated Annealing , 2008, Taschenbuch der Algorithmen.

[49]  Hossein Nezamabadi-pour,et al.  GSA: A Gravitational Search Algorithm , 2009, Inf. Sci..

[50]  Vikram Kumar Kamboj,et al.  Solution of non-convex economic load dispatch problem using Grey Wolf Optimizer , 2015, Neural Computing and Applications.

[51]  Urvinder Singh,et al.  Modified Grey Wolf Optimizer for Global Engineering Optimization , 2016, Appl. Comput. Intell. Soft Comput..

[52]  Tapabrata Ray,et al.  ENGINEERING DESIGN OPTIMIZATION USING A SWARM WITH AN INTELLIGENT INFORMATION SHARING AMONG INDIVIDUALS , 2001 .

[53]  Jing J. Liang,et al.  Problem Deflnitions and Evaluation Criteria for the CEC 2006 Special Session on Constrained Real-Parameter Optimization , 2006 .

[54]  Chao Lu,et al.  A hybrid multi-objective grey wolf optimizer for dynamic scheduling in a real-world welding industry , 2017, Eng. Appl. Artif. Intell..

[55]  Seyedali Mirjalili,et al.  SCA: A Sine Cosine Algorithm for solving optimization problems , 2016, Knowl. Based Syst..

[56]  Amir Hossein Gandomi,et al.  Cuckoo search algorithm: a metaheuristic approach to solve structural optimization problems , 2011, Engineering with Computers.

[57]  D. Wolpert,et al.  No Free Lunch Theorems for Search , 1995 .

[58]  Provas Kumar Roy,et al.  Oppositional based grey wolf optimization algorithm for economic dispatch problem of power system , 2017, Ain Shams Engineering Journal.

[59]  Hany M. Hasanien,et al.  Augmented grey wolf optimizer for grid-connected PMSG-based wind energy conversion systems , 2018, Appl. Soft Comput..

[60]  Seyed Mohammad Mirjalili,et al.  The Ant Lion Optimizer , 2015, Adv. Eng. Softw..

[61]  Seyed Mohammad Mirjalili,et al.  Moth-flame optimization algorithm: A novel nature-inspired heuristic paradigm , 2015, Knowl. Based Syst..

[62]  Parham Pahlavani,et al.  An efficient modified grey wolf optimizer with Lévy flight for optimization tasks , 2017, Appl. Soft Comput..