Levy Flights in Metaheuristics Optimization Algorithms – A Review

Chawla, Mridul; Duhan, Manoj

doi:10.1080/08839514.2018.1508807

Cited by 53 publications

(27 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Therefore, this mechanism enables the algorithm to avoid stagnation in the fitness land space by circumventing any local optima in the search space thanks to the intermingled long and short jumps across the search domain that occurred by the Levy flights. This type of flight pattern takes advantage of reaching distant regions of the solution space without revisiting the already explored spaces, thereby eliminating a huge amount of computational burden that would be resulted from the excessive number of function evaluations [44]. One can see the impacts of Levy Flights even in the dispersion of gas molecules and movement of particles in fluids when turbulent flow conditions are prevalent Generation of random numbers from Levy distribution consists of two constructive steps.…”

Section: The Proposed Methodsmentioning

confidence: 99%

“…Where eigenvalues positive roots of Eq. (44). Assume that length of the slab (L) is 1.0 m; thermal conductivities of each boundary are respectively k1=13.0 W/m.K and k2=50.0 W/m.K; convective heat transfer coefficients of boundary surfaces are respectively h1=100.0 W/m 2 K and h2=200 W/m 2 K; thermal diffusivity of the slab is α=1.1E-5 m 2 /s, and initial slab temperature is taken as T0=25 ֯ C. Figure 4 illustrates the sequence of normalized values of eigenvalues obtained by different algorithms.…”

Section: Case Studymentioning

confidence: 99%

See 1 more Smart Citation

Eagle Strategy Based on Modified Barnacles Mating Optimization and Differential Evolution Algorithms for Solving Transient Heat Conduction Problems

Turgut¹,

Turgut²

2021

ijisae

View full text Add to dashboard Cite

Solving time-dependent heat conduction problems through a conventional solution procedure of iterative root-finding method may sometimes cause difficulties in obtaining accurate temperature distribution across the heat transfer medium. Analytical root-finding methods require good initial estimates for finding exact solutions, however locating these promising regions is some kind of a black-box process. One possible answer to this problem is to convert the root-finding equation into an optimization problem, which eliminates the exhaustive process of determining the correct initial guess. This study proposes an Eagle Strategy optimization framework based on modified mutation equations of Barnacles Mating Optimizer and Differential Evolution algorithm for solving one-dimensional transient heat conduction problems. A test suite of forty optimization benchmark problems have been solved by the proposed algorithm and the respective solution outcomes have been compared with those found by the reputed literature optimizers. Finally, a case study associated with a transient heat conduction problem have been solved. Results show that Eagle strategy can provide efficient and feasible results for various types of solution domains.

show abstract

Section: The Proposed Methodsmentioning

confidence: 99%

Section: Case Studymentioning

confidence: 99%

Eagle Strategy Based on Modified Barnacles Mating Optimization and Differential Evolution Algorithms for Solving Transient Heat Conduction Problems

Turgut¹,

Turgut²

2021

ijisae

View full text Add to dashboard Cite

show abstract

“…In their studies, this technique is compared with a set of problems with different benchmark functions. The research reveals that Levy-based PSO outperforms the conventional PSO with a fast response time due to the characteristics of the Levy flight distribution with fat-tailed characteristics [43]. This significantly inspired the authors to apply this technique in MPP.…”

Section: Introductionmentioning

confidence: 91%

“…Levy flight has been applied in various fields, especially in biology and engineering [43]. The study done by authors [44,45] reveals that the technique of using Levy flight in PSO by replacing the Levy distribution in PSO shows a great advantage in terms of the time response compared to the conventional PSO technique.…”

Section: Introductionmentioning

confidence: 99%

Modified Levy Flight Optimization for a Maximum Power Point Tracking Algorithm under Partial Shading

et al. 2021

View full text Add to dashboard Cite

This paper presents a novel modified Levy flight optimization for a photovoltaic PV solar energy system. Conventionally, the Perturb and Observe (P&O) algorithm has been widely deployed in most applications due to its simplicity and ease of implementation. However, P&O suffers from steady-state oscillation and stability, besides its failure in tracking the optimum power under partial shading conditions and fast irradiance changes. Therefore, a modified Levy flight optimization is proposed by incorporating a global search of beta parameters, which can significantly improve the tracking capability in local and global searches compared to the conventional methods. The proposed modified Levy flight optimization is verified with simulations and experiments under uniform, non-uniform, and dynamic conditions. All results prove the advantages of the proposed modified Levy flight optimization in extracting the optimal power with a fast response and high efficiency from the PV arrays.

show abstract

“…It is a random walk with a step length that follows the Lévy distribution (Roy & Sinha Chaudhuri 2013) that makes moving direction and jumping steps. In the searching process, frequent short-distance local search and a few long-distance global searches are applied to enhance the local search effect (Chawla & Duhan 2018):…”

Section: Lévy Flight Bat Algorithmmentioning

confidence: 99%

A novel framework for prediction of dam deformation based on extreme learning machine and Lévy flight bat algorithm

Chen

Zhang

Karimian

et al. 2021

Journal of Hydroinformatics

View full text Add to dashboard Cite

Dam deformation monitoring and prediction are crucial for evaluating the safety of reservoirs. There are several elements that influence dam deformation. However, the mixed effects of these elements are not always linear. Oppose to a single-kernel extreme learning machine, which suffers from poor generalization performance and instability, in this study, we proposed an improved bat algorithm for dam deformation prediction based on a hybrid-kernel extreme learning machine. To improve the learning ability of the global kernel and the generalization ability of the local kernel, we combined the global kernel function (polynomial kernel function) and local kernel function (Gaussian kernel function). Moreover, a Lévy flight bat optimization algorithm (LBA) was proposed to overcome the shortages of bat algorithms. The results showed that our model outperformed other models. This proves that our proposed algorithm and methods can be used in dam deformation monitoring and prediction in different projects and regions.

show abstract

Levy Flights in Metaheuristics Optimization Algorithms – A Review

Cited by 53 publications

References 47 publications

Eagle Strategy Based on Modified Barnacles Mating Optimization and Differential Evolution Algorithms for Solving Transient Heat Conduction Problems

Eagle Strategy Based on Modified Barnacles Mating Optimization and Differential Evolution Algorithms for Solving Transient Heat Conduction Problems

Modified Levy Flight Optimization for a Maximum Power Point Tracking Algorithm under Partial Shading

A novel framework for prediction of dam deformation based on extreme learning machine and Lévy flight bat algorithm

Contact Info

Product

Resources

About