A Wind Driven Approach Using Lévy Flights for Global Continuous Optimization

Recently, the metaheuristics have drawn a great attention to researchers. The drawbacks of existing derivative-based numerical methods have forced the researchers to rely on metaheuristics founded on simulations to solve scientific computation and engineering optimization problems. A common feature shared by the metaheuristics is that they combine rules and randomness to imitate some natural phenomena. Wind driven optimization (WDO) belongs to optimization metaheuristic algorithm. It is a stochastic nature-inspired global optimization method based on atmospheric motion. In this paper, we focus our study on an enhanced WDO using Lévy flights (WDOLE) applied to global optimization in the continuous domain. To evaluate the performance of the proposed WDOLE, well-known unconstrained benchmark functions in the literature are optimized using the proposed WDOLE, and provides comparisons with the standard WDO.

[1]  Harun Uğuz,et al.  A novel particle swarm optimization algorithm with Levy flight , 2014, Appl. Soft Comput..

[2]  Emmanuel Hanert,et al.  Front dynamics in a two-species competition model driven by Lévy flights. , 2012, Journal of theoretical biology.

[3]  D. H. Werner,et al.  Nature-Inspired Optimization of High-Impedance Metasurfaces With Ultrasmall Interwoven Unit Cells , 2011, IEEE Antennas and Wireless Propagation Letters.

[4]  R. Stull,et al.  Meteorology for Scientists and Engineers , 1999 .

[5]  Mauro Birattari,et al.  Swarm Intelligence , 2012, Lecture Notes in Computer Science.

[6]  F. Désalmand Meteorology today : An introduction to weather, Climate, and the environment , 1998 .

[7]  Xin-She Yang,et al.  Eagle Strategy Using Lévy Walk and Firefly Algorithms for Stochastic Optimization , 2010, NICSO.

[8]  Nicolas E. Humphries,et al.  Optimal foraging strategies: Lévy walks balance searching and patch exploitation under a very broad range of conditions. , 2014, Journal of theoretical biology.

[9]  Ponnuthurai N. Suganthan,et al.  Real-parameter evolutionary multimodal optimization - A survey of the state-of-the-art , 2011, Swarm Evol. Comput..

[10]  D. Werner,et al.  Wind Driven Optimization (WDO): A novel nature-inspired optimization algorithm and its application to electromagnetics , 2010, 2010 IEEE Antennas and Propagation Society International Symposium.

[11]  Leandro dos Santos Coelho,et al.  Differential evolution based on truncated Lévy-type flights and population diversity measure to solve economic load dispatch problems , 2014 .

[12]  Kazuhiro Ohkura,et al.  A levy flight-based hybrid artificial bee colony algorithm for solving numerical optimization problems , 2014, 2014 IEEE Congress on Evolutionary Computation (CEC).

[13]  Herbert Riehl,et al.  Introduction to the atmosphere , 1965 .

[14]  Shahnorbanun Sahran,et al.  Patch-Levy-based initialization algorithm for Bees Algorithm , 2014, Appl. Soft Comput..

[15]  Ilya Pavlyukevich Lévy flights, non-local search and simulated annealing , 2007, J. Comput. Phys..

[16]  P. N. Suganthan,et al.  Differential Evolution: A Survey of the State-of-the-Art , 2011, IEEE Transactions on Evolutionary Computation.

[17]  Samrat L. Sabat,et al.  Optimal chiller loading for energy conservation using a new differential cuckoo search approach , 2014 .

[18]  David H. Wolpert,et al.  No free lunch theorems for optimization , 1997, IEEE Trans. Evol. Comput..

[19]  Harish Sharma,et al.  Opposition based levy flight search in differential evolution algorithm , 2014, 2014 International Conference on Signal Propagation and Computer Technology (ICSPCT 2014).

[20]  Douglas H. Werner,et al.  The Wind Driven Optimization Technique and its Application in Electromagnetics , 2013, IEEE Transactions on Antennas and Propagation.

[21]  Andries Petrus Engelbrecht,et al.  Fundamentals of Computational Swarm Intelligence , 2005 .

[22]  Amir Hossein Gandomi,et al.  A new improved krill herd algorithm for global numerical optimization , 2014, Neurocomputing.

[23]  Jie Chen,et al.  Optimal Contraction Theorem for Exploration–Exploitation Tradeoff in Search and Optimization , 2009, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[24]  Jeffrey Horn,et al.  Handbook of evolutionary computation , 1997 .

[25]  Xin-She Yang,et al.  Engineering Optimization: An Introduction with Metaheuristic Applications , 2010 .

[26]  J. L. Nolan Stable Distributions. Models for Heavy Tailed Data , 2001 .