Genetic algorithms are considered. Three algorithms are designed and executed
to obtain purely empirical analysis conclusions in order to turn to purely theoretical analysis
results about the behavior of genetic algorithms as a finite dimensional Markov and....

Clonal selection algorithms are considered. Two algorithms are designed and executed to obtain purely empirical analysis conclusions in order to turn to purely theoretical analysis results about the behavior of clonal selection algorithms as a nite dimensional Markov and lumped Markov chains, which conrm the conjectures from these experiments and in order to introduce a complete framework toward a new philosophy of machine intelligence. First, we model clonal selection algorithms using a nite dimensional Markov and lumped Markov chains. Second, we carry on a particle analysis (the basic component) and analyze the convergence properties of these algorithms. Third, we produce two unied Markov and lumped Markov approaches for analysis for a complete framework and propose unique chromosomes for a purely successful optimization of these algorithms. Furthermore, for the Markov approach, we obtain purely theoretical analysis for a classication and Stationary distributions of chains. For the lumped Markov approach, we obtain purely theoretical analysis for all possible conditional multivariate normal distributions of transition probability matrices and stationary multivariate normal distributions ofchains.

Abstract Free convection over a vertical rectangular duct filled with porous matrix with variable viscosity and variable thermal conductivity is studied in this paper. We consider the two-dimensional steady laminar flow and Brinkman–Forchheimer extended Darcy model to define the porous medium. Using the appropriate variables the basic governing equations are transformed to non-dimensional governing equations. The fluid viscosity is assumed to vary exponentially with temperature whereas the thermal conductivity is assumed to vary linearly with temperature. One of the vertical walls of the duct is cooled with constant temperature while the other wall is heated to constant but different temperature. The governing coupled nonlinear momentum and energy equations are solved numerically using finite difference method. The effect of pertinent parameters such as variable viscosity, variable thermal conductivity, Darcy number, inertial parameter, Grashof number, Brinkman number and aspect ratio on the velocity, temperature, volumetric flow rate, shear stress and heat transfer are discussed.