Facing supply uncertainty of bulky wastes, the capacitated multi-product stochastic network design model for bulky waste recycling is proposed in this paper. The objective of this model is to minimize the first-stage total fixed costs and the expected value of the second-stage variable costs. The possibility of operation costs and transportation costs for bulky waste recycling is considered ...

The difficulty to obtain a stable estimate of fractal dimension for stochastic fractal (e.g., urban form) is an unsolved issue in fractal analysis. The widely used box-counting method has three main issues: 1) ambiguities in setting up a proper box cover of the object of interest; 2) problems of limited data points for box sizes; 3) difficulty in determining the scaling range. These issues lead...

The 2021 Nobel prize for physics was awarded to two climate scientists, Syukuro Manabe and Klaus Hasselmann, the physicist Giorgio Parisi. While at first sight work of Parisi seems not be related science, this is case. developed contributed many complexity science methods which are nowadays widely used in science. Giorgi also involved development “stochastic resonance” idea explain paleoclimate...

Stochastic processes with multiplicative noise have been studied independently in several different contexts over the past decades. We focus on the regime, found for a generic set of control parameters, in which stochastic processes with multiplicative noise produce intermittency of a special kind, characterized by a power law probability density distribution. We present a review of application...

In this work, we investigate the fine regularity of Lévy processes using the 2-microlocal formalism. This framework allows us to refine the multifractal spectrum determined by Jaffard and, in addition, study the oscillating singularities of Lévy processes. The fractal structure of the latter is proved to be more complex than the classic multifractal spectrum and is determined in the case of alp...

In this study, a novel hybridization approach, which is called CMASFS and based on the covariance matrix adaptation evolution strategy (CMA-ES) stochastic fractal search (SFS) algorithms. To make proposed algorithm dynamic, Gaussian walk equations involved in diffusion process of SFS have been updated decide to use equations. The effectiveness tested using CEC2017 benchmark functions having uni...