The aim of the present study is to a new model based on nonlinear singular second order delay differential equation Lane–Emden type and numerically solved by using heuristic technique. Four different examples are presented designed artificial neural networks optimized global search, local search methods their hybrid combinations, respectively, named as genetic algorithm (GA), sequential quadrat...

The steady-state reactive transport model (RTM) is a generalization of the nonlinear reaction-diffusion in porous catalysts. RTM expressed as non-linear ordinary differential equation second-order with boundary conditions. Artificial neural network (ANN), Particle swarm optimization (PSO), and hybrid PSO-SQP (Sequential Quadratic Programming) are used to obtain accurate, approximate solutions R...

We propose an SQP algorithm for mathematical programs with complementarity constraints which solves at each iteration a quadratic program with linear complementarity constraints. We demonstrate how strongly M-stationary solutions of this quadratic program can be obtained by an active set method without using enumeration techniques. We show that all limit points of the sequence of iterate genera...

Particle swarm optimization (PSO) is a recently developed optimization method that has attracted interest of researchers in various areas. PSO has been shown to be effective in solving a variety of complex optimization problems. With properly chosen parameters, PSO can converge to local optima. However, conventional PSO does not have global convergence. Empirical evidences indicate that the PSO...

We have previously proposed a hybrid particle swarm optimisation/ant colony optimisation (PSO/ACO) algorithm for the discovery of classification rules. Unlike a conventional PSO algorithm, this hybrid algorithm can directly cope with nominal attributes, without converting nominal values into binary numbers in a preprocessing phase. PSO/ACO2 also directly deals with both continuous and nominal a...

The purpose of this research is predicting the stock prices using the Particle Swarm Optimization Algorithm and Box-Jenkins method. In this way, the information of 165 corporations is collected from 2001 to 2016. Then, this research considers price to earnings per share and earnings per share as main variables. The relevant regression equation was created using two variables of earnings per sha...

Structural damage detection is a field that has attracted a great interest in the scientific community in recent years. Most of these studies use dynamic analysis data of the beams as a diagnostic tool for damage. In this paper, a massless rotational spring was used to represent the cracked sections of beams and the natural frequencies and mode shape were obtained. For calculation of rotational...

An algorithm for general nonlinearly constrained optimization is presented, which solves an unconstrained piecewise quadratic subprob-lem and a quadratic programming subproblem at each iterate. The algorithm is robust since it can circumvent the diiculties associated with the possible inconsistency of QP subproblem of the original SQP method. Moreover, the algorithm can converge to a point whic...

The flow in sewers is a complete three phase flow (air, water and sediment). The mechanism of sediment transport in sewers is very important. In other words, the passing flow must able to wash deposited sediments and the design should be done in an economic and optimized way. In this study, the sediment transport process in sewers is simulated using a hybrid model. In other words, using the Ada...

In this paper, we focus on the mathematical program with second-order cone (SOC) complementarity constraints, which contains the well-known mathematical program with nonnegative complementarity constraints as a subclass. For solving such a problem, we propose a smoothing-based sequential quadratic programming (SQP) methods. We first replace the SOC complementarity constraints with equality cons...