Iranian Journal of Optimization
http://ijo.iaurasht.ac.ir/
Iranian Journal of Optimizationendaily1Tue, 01 Dec 2020 00:00:00 +0330Tue, 01 Dec 2020 00:00:00 +0330An Ant-Colony Optimization Clustering Model for Cellular Automata Routing in Wireless Sensor Networks
http://ijo.iaurasht.ac.ir/article_677288.html
High efficient routing is an important issue for the design of wireless sensor network (WSN) protocols to meet the severe hardware and resource constraints. This paper presents an inclusive evolutionary reinforcement method. The proposed approach is a combination of Cellular Automata (CA) and Ant Colony Optimization (ACO) techniques in order to create collision-free trajectories for every agent of a team while their formation is kept unchallengeable. The method reacts with problem distribution changes and therefore can be used in dynamical or unknown environments, without the need of a priori knowledge of the space. The swarm of agents are divided into subgroups and all the desired trails are created with the combined use of a CA path finder and an ACO algorithm. In case of lack of pheromones, paths are created using the CA path finder. Compared to other methods, the proposed method can create accurate clustered, collision-free and reliable paths in real time with low complexity while the implemented system is completely autonomous.Control Chart Recognition Patterns using Fuzzy Rule-Based System
http://ijo.iaurasht.ac.ir/article_678493.html
Control Chart Patterns (CCPs) recognition is one the most important concepts in control chart application. Relating the patterns exhibited on the control chart to assignable causes is an ambiguous and vague task especially when multiple patterns co-exist. In this study, a fuzzy rule-based system is developed for X ̅ control charts to prioritize the control chart causes based on the accumulated evidence. To demonstrate the reasonable performance of the proposed fuzzy rule-based system, the case studies are performed and the results are analyzed.Meshless RBF Method for Linear and Nonlinear Sobolev Equations
http://ijo.iaurasht.ac.ir/article_678649.html
Radial Basis Functions are considered as important tools for scattered data interpolation. Collocation procedure is a powerful technique in meshless methods which is developed on the assumption of radial basis functions to solve partial differential equations in high dimensional domains having complex shapes. In this study, a numerical method, implementing the RBF collocation method and finite differences, is employed for solving not only 2-D linear, but also nonlinear Sobolev equations. First order finite differences and Crank-Nicolson method are applied to discretize the temporal part. Using the energy method, it is shown that the applied time-discrete approach is convergent in terms of time variable with order . The spatial parts are approximated by implementation of two-dimensional MQ-RBF interpolation resulting in a linear system of algebraic equations. By solving the linear system, approximate solutions are determined. The proposed scheme is verified by solving different problems and error norms and are computed. Computations accurately demonstrated the efficiency of the suggested method.Efficiency Evaluation of Railway Freight Stations by Using DEA Approach
http://ijo.iaurasht.ac.ir/article_680085.html
Railway freight stations roles as points in which traffic processes can be merged and diverged are of paramount importance. Numerous activities such as train formation, alighting and interchanging, technical checks are also done at these points. Due to the great importance of using railway infrastructures and rolling stocks facilities efficiently, the efficiency studies in this area are considered as a demanding task more than ever. Therefore, we implement a methodology based on data envelopment analysis to address this issue. The suggested methodology in this research can be used for measuring the efficiency of railway freight stations and ranking them by using DEA and Anderson &amp; Peterson methods. This methodology can be used for analyzing the relative &lsquo;technical efficiency&rsquo; of railway freight stations to manage train stops regarding the current station capacity. We applied this model in a case study of the 12 busiest train stations in Isfahan railway to measure and rank their efficiency and assess the effect of traffic type on the results by using robust regression.Trust optimization in the single web services using a neuro-fuzzy system
http://ijo.iaurasht.ac.ir/article_680763.html
Due to improvement of Internet, employing web services is developed. By utilizing web services, distributed applications can exchange information. Trust is a main criterion to choose the proper web service as web services selection is a main issue which is still absorbing researchers to conduct research works on this field and analyze it. Due to the significant of this problem, neuro-fuzzy system is used to optimize the trust of single web services. Eight factors such as QoS, user preferences, subjective perspectives, objective perspectives, credibility of raters, bootstrapping, dynamic computing of trust and independency are considered in the considered neuro-fuzzy system. To achieve a trust optimization, 8 membership function various neuro-fuzzy systems are considered in this paper. Ultimately, the obtained results illustrates that the root mean square error, the precision amount, the recall amount and the F score amount of the neuro-fuzzy system is: 0.0873 %, 0.986, 0.988 and 0.987.A New Eight-Order Iteretive Method for Solving Nonlinear Equations with High Efficiency index
http://ijo.iaurasht.ac.ir/article_678578.html
In this paper, we develop a new eighth-order method for simple roots of non- linear equations via weight function and interpolation methods. The method requires only three(3) function evaluation and a derivative evaluation with 81/4 &asymp; 1.682 efficiency index . Numerical comparison between the proposed method with some other methods were presented, which shows that our method is promising .Earthwork Volume Optimization Using Imperialistic Competitive Algorithm to Minimize Energy Consumption of Agricultural Land Leveling
http://ijo.iaurasht.ac.ir/article_678708.html
Land leveling is one of the most important steps in soil preparation for consequent objectives. Parallel policies need to take both energy and environmental subjects into the account as well as certain financial development and eco-friendly protection. Energy is one of the most important elements in agricultural sector. Nevertheless, pollution is linked with the usage of fossil fuels (particularly gasoline) as an energy source. Earthwork optimization plays an important role in reducing the total cost of highway projects. In this research, ICA has been followed to optimize earthwork volume for minimizing energy consumption of agricultural land leveling compared to minimum least squares, genetic algorithm, particle swarm optimization (PSO) have been employed for developing of optimization the energy related and other parameters. The study was specified based on the proposed land leveling project in district of Ahwaz, Iran. The study farm was a 70 ha area and located in the west of Iran. Topography of the farm was mapped in the scale of mapping as fine as 1:500. The outputs of the plan were length, width and height of points (coordinates of x, y and z) and the grid size in the region was 20 m&times;20 m. The aim of this work was use of new techniques and specifically optimization methods such as Imperialist competitive algorithm, genetic algorithms and PSO in modeling the leveling plane to minimize cut and fill volume and consequently the amount of energy consumption of leveling operations. It has been assumed that soil cut and fill volumes are equal and no need to move/ remove excessive soil. Therefore, there is no need to define a cut/fill variable in the model based on ICA. The results indicated that ICA offers a plan of earthwork, minimizing energy consumption of land leveling more efficiently than minimum least squares, genetic algorithm and PSO.Approximate solution of nonlinear fractional order model of HIV infection of CD4+T via Differential Quadrature Radial Basis Functions technique
http://ijo.iaurasht.ac.ir/article_678709.html
In this research, differential quadrature radial basis functions Method is performed to a fractional order model of HIV infection of CD4+T. Here, Caputo fractional derivative is used and it is approximated by forward finite difference method. Results have been compared with the results of Laplace Adomian decomposition method (LADM), Laplace Adomian decomposition method-pade (LADM-pade), Runge-Kutta, Variational iteration method (VIM) and Variational iteration method-pade (VIM-Pade) for &alpha;_1=&alpha;_2=&alpha;_3 and residual functions have been plotted. And also approximate solutions of suggested method for different order of fractional derivatives have been shown.Numerical solution of Fredholm and Volterra integral equations using the normalized Müntz−Legendre polynomials
http://ijo.iaurasht.ac.ir/article_678710.html
The current research approximates the unknown function based on the normalized M&uuml;ntz&minus;Legendre polynomials (NMLPs) in conjunction with a spectral method for the solution of nonlinear Fredholm and Volterra integral equations. In this method, by using operational matrices, a system of algebraic equations is derived that can be readily handled through the use of the Newton scheme. The stability, error bound, and convergence analysis of the method are discussed in detail by preparing some theorems. Several illustrative examples are provided formally to show the efficiency of the proposed method.Solution of optimal control problems using shifted chebyshev polynomial
http://ijo.iaurasht.ac.ir/article_680084.html
This paper suggests a new and efficient method for solving linear quadratic optimal control problems. A shifted chebyshev matrix approach is implemented for solving this problem. In this method, the problem of optimal control changes into a problem of non-linear programming which can be solved easily. The corresponding nonlinear programming problem will be solved using Matlab software to find the unknown coefficients which are related to the approximate solution. Numerical examples are also given in order to compare this new method with another one.Efficiency Evaluation in Presence of Undesirable and Negative Factors
http://ijo.iaurasht.ac.ir/article_682155.html
Data envelopment analysis (DEA) has been proven as an excellent data-oriented efficiency analysis method for comparing decision making units (DMUs) with multiple inputs and multiple outputs. In conventional DEA models, it is assumed that the input or output variables are all non-negative and desirable. However, in some situations, a performance measure can take positive quantity for some DMUs and negative value for others. Also, undesirable (bad) inputs and outputs may be presented in the production process. Hence, the standard model cannot directly reflect the efficiency score. The paper proposes a modified model in which both undesirable and negative data are treated to improve the relative efficiency of the DMU under evaluation. The focus of this paper is on treating the negative data on the definition of the two non-negative variable and the decreasing of undesirable outputs. A real example of 20 bank branches shows applicability of the proposed approachStability Theorem and Results for Quadrupled Fixed Point of Contractive Type Single Valued Operators
http://ijo.iaurasht.ac.ir/article_682156.html
This paper present the existence and uniqueness of quadrupled fixed point theorems, whose method is quite primarily based definitely on Perov-type fixed point theorem for contraction in metric spaces equipped with vector-valued matrices. Furthermore, the study consist of Ulam-Hyers stability results for quadrupled fixed points of contractive type single valued mappings on complete metric spaces will be obtained.Legendre Wavelet Method for a Class of Fourth-Order Boundary Value Problems
http://ijo.iaurasht.ac.ir/article_682157.html
In this paper we apply an approximate method based on Galerkin approach with Legendre wavelets basis, on a class of fourth order boundary value problems. The approach reduces the main equation to a system of linear algebraic equations that could be solved numerically. The operational matrix of the method is obtained, and the convergence of the method is proved. we approximate the solution and its higher order derivatives, for some special examples and compare the results with some other numerical methods. The results show the effectiveness of the proposed method.Lump solutions of Biharmonic equation
http://ijo.iaurasht.ac.ir/article_682709.html
In this article, through symbolic computation With Maple, we get the solution of the (1 + 1)-dimensional Biharmonic-equation. These solutions, which we call lump solution, obtained using square functions, are rationally localized in all directions in the space. It should be noted that not all nonlinear partial differential equations have a lump solution. Finally, by selecting the appropriate parameter, the lump solutions are shown in the figures.