The Lévy walk hypothesis asserts that the optimal search strategy for a forager under specific conditions is to make successive movement steps that have uniformly random directions and lengths drawn from a probability distribution that is heavy-tailed. This idea has generated a huge amount of interest, with numerous studies providing empirical evidence in support of the hypothesis and others cr...

Abstract The concept of interconnected multi-microgrids (MMGs) is presented as a promising solution for the improvement in operation, control, and economic performance distribution networks. energy management MMGs strenuous challenging task, especially with integration renewable resources (RERs) variation loading due to intermittency these stochastic nature load demand. In this regard, optimize...

Abstract Traditional exhaustive search methods have high time complexity in solving multilevel threshold problems. To address this problem, a Levy flight based firefly algorithm called LFA is proposed. Otsu regard as its objective function. A series of standard test images were used to evaluate the performance algorithm. The Peak signal noise ratio(PSNR) and Structural similarity index (SSIM) a...

The relation between the jump length probability distribution function and the spectral line profile in resonance atomic radiation trapping is considered for partial frequency redistribution (PFR) between absorbed and reemitted radiation. The single line opacity distribution function [M. N. Berberan-Santos et al., J. Chem. Phys. 125, 174308 (2006)] is generalized for PFR and used to discuss sev...

In this paper, we consider the estimation of the parameter of the Levy distribution, the right-tail probability, and P(Y < X). We also consider a test of hypothesis.

We explore a minimal paradigm for thermalization, consisting of two weakly coupled, low dimensional, nonintegrable subsystems. As demonstrated for Bose-Hubbard trimers, chaotic ergodicity results in a diffusive response of each subsystem, insensitive to the details of the drive exerted on it by the other. This supports the hypothesis that thermalization can be described by a Fokker-Planck equat...