Homogenization of large-scale movement models in ecology.

A PRELUDE TO THE THEORY OF RANDOM WALKS IN RANDOM ENVIRONMENTS

A random walk on a lattice is one of the most fundamental models in probability theory. When the random walk is inhomogenous and its inhomogeniety comes from an ergodic stationary process, the walk is called a random walk in a random environment (RWRE). The basic questions such as the law of large numbers (LLN), the central limit theorem (CLT), and the large deviation principle (LDP) are ...

Homogenization of the Vlasov Equation and of the Vlasov - Poisson System with a Strong External Magnetic Field

Abstract: Motivated by the difficulty arising in the numerical simulation of the movement of charged particles in presence of a large external magnetic field, which adds an additional time scale and thus imposes to use a much smaller time step, we perform in this paper a homogenization of the Vlasov equation and the Vlasov-Poisson system which yield approximate equations describing the mean beh...

The application of DEA and queuing models to large scale computer networks

A Practical Desalinization Model for Large Scale Application

Salinity of soil and water is the most important agricultural hazard in arid and semi-aridregions. In saline soils, yield production directly influences by soluble salts in the root zone aswell as by shallow water table depth. The first step for reclamation of such soils is reducingsalinity to optimum level by leaching. The objective of this study was to develop a practicalmodel to estimate wat...

OPTIMIZATION OF LARGE-SCALE TRUSS STRUCTURES USING MODIFIED CHARGED SYSTEM SEARCH

Optimal design of large-scale structures is a rather difficult task and the computational efficiency of the currently available methods needs to be improved. In view of this, the paper presents a modified Charged System Search (CSS) algorithm. The new methodology is based on the combination of CSS and Particle Swarm Optimizer. In addition, in order to improve optimization search, the sequence o...