A Wind Driven Approach Using Lévy Flights for Global Continuous Optimization

2014 ◽  
Author(s):  
Emerson Hochsteiner De Vasconcelos Segundo ◽  
Anderson Levati Amoroso ◽  
Viviana Cocco Mariani ◽  
Leandro Dos Santos Coelho
Keyword(s):  
Continuous Optimization ◽  
Lévy Flights ◽  
Levy Flights ◽  
Global Continuous Optimization

scholarly journals Survival probability of random walks and Lévy flights on a semi-infinite line

2017 ◽  
Vol 50 (46) ◽  
pp. 465002 ◽  
Author(s):  
Satya N Majumdar ◽  
Philippe Mounaix ◽  
Grégory Schehr
Keyword(s):  
Random Walks ◽  
Survival Probability ◽  
Lévy Flights ◽  
Levy Flights ◽  
Infinite Line

scholarly journals First Order Transition for the Optimal Search Time of Lévy Flights with Resetting

2014 ◽  
Vol 113 (22) ◽  
Author(s):  
Lukasz Kusmierz ◽  
Satya N. Majumdar ◽  
Sanjib Sabhapandit ◽  
Grégory Schehr
Keyword(s):  
Search Time ◽  
Order Transition ◽  
Optimal Search ◽  
Lévy Flights ◽  
First Order ◽  
Levy Flights ◽  
First Order Transition

scholarly journals A Novel Bat Algorithm Based on Differential Operator and Lévy Flights Trajectory

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Jian Xie ◽  
Yongquan Zhou ◽  
Huan Chen
Keyword(s):  
Differential Operator ◽  
Dimensional Space ◽  
Bat Algorithm ◽  
High Dimensional ◽  
Local Minima ◽  
Lévy Flights ◽  
Levy Flights ◽  
Mutation Strategy ◽  
Differential Algorithm ◽  
Simulation Results

Aiming at the phenomenon of slow convergence rate and low accuracy of bat algorithm, a novel bat algorithm based on differential operator and Lévy flights trajectory is proposed. In this paper, a differential operator is introduced to accelerate the convergence speed of proposed algorithm, which is similar to mutation strategy “DE/best/2” in differential algorithm. Lévy flights trajectory can ensure the diversity of the population against premature convergence and make the algorithm effectively jump out of local minima. 14 typical benchmark functions and an instance of nonlinear equations are tested; the simulation results not only show that the proposed algorithm is feasible and effective, but also demonstrate that this proposed algorithm has superior approximation capabilities in high-dimensional space.

Anomalous diffusion and Lévy flights in channeling

2004 ◽  
Vol 324 (1) ◽  
pp. 82-85 ◽  
Author(s):  
A.A Greenenko ◽  
A.V Chechkin ◽  
N.F Shul'ga
Keyword(s):  
Anomalous Diffusion ◽  
Lévy Flights ◽  
Levy Flights
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