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Opposition based Chaotic Differential Evolution algorithm for solving global optimization problems

Radha Thangaraj, Millie Pant, Thanga Raj Chelliah, Ajith Abraham
2012 2012 Fourth World Congress on Nature and Biologically Inspired Computing (NaBIC)  
The proposed OCDE algorithm is different from basic DE in two aspects.  ...  The numerical results obtained by OCDE when compared with the results obtained by DE and ODE (opposition based DE) algorithms on eighteen benchmark function demonstrate that the OCDE is able to find a  ...  Selection is the step to choose the vector by holding a tournament between the target vector and the corresponding trial vector with the aim of creating an individual for the next generation.  ... 
doi:10.1109/nabic.2012.6402168 dblp:conf/nabic/ThangarajPCA12 fatcat:zsmexoff5nawnjyzkptm7twtpe

Numerical awareness in control

2004 IEEE Control Systems  
In papers dealing with methods for systems and control, we often observe a level of naivete concerning basic numerical issues related to algorithm development.  ...  T here is a continuing and growing need in the systems and control community for good algorithms and robust numerical software for increasingly challenging applications.  ...  This article identifies the general principles that lead to numerically reliable algorithms for solving a large collection of control problems.  ... 
doi:10.1109/mcs.2004.1272742 fatcat:23jcim7yzzh4roloyiewxk5auq

A Basic Algorithm for Generating Individualized Numerical Scale (BAGINS) [article]

Faran Ahmed, Kemal Kilic
2022 arXiv   pre-print
There is a growing interest in scale individualization rather than relying on a generic fixed scale since the perceptions of the decision maker regarding these linguistic labels are highly subjective.  ...  To assess the value of scale individualization in general, and the performance of the proposed novel approach in particular, numerical and two empirical studies are conducted.  ...  Algorithm 1 Basic Algorithm for Generating Individualized Numerical Scale (BAGINS) 1: Let S = (S k | k = 1, 2, ..., m) 2: Elicit L = (l ij ) n×n where l ij ∈ S 3: Construct A = (a ij ) n×n such that A  ... 
arXiv:2211.08740v1 fatcat:7wynbae5bjfmxnzyk2udajom4e

An Effective Hybrid Self-Adapting Differential Evolution Algorithm for the Joint Replenishment and Location-Inventory Problem in a Three-Level Supply Chain

Lin Wang, Hui Qu, Tao Chen, Fang-Ping Yan
2013 The Scientific World Journal  
To find an effective approach for the JR-LIP, a hybrid self-adapting differential evolution algorithm (HSDE) is designed.  ...  In this paper, we provide an effective intelligent algorithm for a modified joint replenishment and location-inventory problem (JR-LIP).  ...  Acknowledgments The authors are very grateful for the constructive comments of editors and referees. This  ... 
doi:10.1155/2013/270249 pmid:24453822 pmcid:PMC3878286 fatcat:hahtltu2yralrgcow3j6tbhhmq

Diagonal Scaling of Ill-Conditioned Matrixes by Genetic Algorithm

Behrouz Vajargah, Mojtaba Moradi
2012 Journal of Applied Mathematics, Statistics and Informatics  
Diagonal Scaling of Ill-Conditioned Matrixes by Genetic Algorithm The purpose of this article is to use genetic algorithm for finding two invertible diagonal matrices D1 and D2 such that the scaled matrix  ...  A genetic algorithm starts by generating a number of possible solutions to a problem, evaluates them and applies the basic genetic operators to that initial population according to the individual fitness  ...  Although there are more elaborate versions of these operators, the basic principles remain similar for most Genetic algorithms.  ... 
doi:10.2478/v10294-012-0005-3 fatcat:roimcyauzncahke2el3m5cr66a

Guest Editors' Introduction: Multigrid Computing

S. McCormick, U. Rude
2006 Computing in science & engineering (Print)  
M ultigrid methods are among the most important algorithms for computational scientists because they're the most efficient solvers for a wide range of problems.  ...  equations (PDEs) and the linear systems that arise when they're discretized, the basic multigrid principle of coupling multiple scales has much wider applicability.  ...  Thus, we can't easily use it as a generic linear solver-rather, we often have to customize it for each individual problem.  ... 
doi:10.1109/mcse.2006.109 fatcat:uas2az2i3ndwniygxmedk44d7m

New mutation schemes for differential evolution algorithm and their application to the optimization of directional over-current relay settings

Radha Thangaraj, Millie Pant, Ajith Abraham
2010 Applied Mathematics and Computation  
In the present study we propose five new mutation schemes for the basic DE algorithm. The corresponding versions are termed as MDE1, MDE2, MDE3, MDE4 and MDE5.  ...  These new schemes make use of the absolute weighted difference between the two points and instead of using a fixed scaling factor F, use a scaling factor following the Laplace distribution.  ...  The second function is a simple sphere function which is strictly convex and unimodal and is generally considered as a good starting point for testing an optimization algorithm.  ... 
doi:10.1016/j.amc.2010.01.071 fatcat:fc6wlecqwfghtfapfcf2gbmcie

Multi-objective Optimization Based on Improved Differential Evolution Algorithm

Shuqiang Wang, Jianli Ma
2014 TELKOMNIKA (Telecommunication Computing Electronics and Control)  
Meanwhile, a random mutation mechanism is adopted to process individuals that show stagnation behaviour.  ...  After that, a series of frequently-used benchmark test functions are used to test the performance of the fundamental and improved DE algorithms.  ...  Secondly, the paper makes an numerical experiment on the performance of the improved algorithms and makes a comparative analysis.  ... 
doi:10.12928/telkomnika.v12i4.531 fatcat:6scl2yva75fplh4r2t4mdo2dta

Genetic Algorithm for Multidimensional Scaling over Mixed and Incomplete Data [chapter]

P. Tecuanhuehue-Vera, Jesús Ariel Carrasco-Ochoa, José Fco. Martínez-Trinidad
2012 Lecture Notes in Computer Science  
For this reason, in this paper we propose a genetic algorithm especially designed for multidimensional scaling over mixed and incomplete data.  ...  Some experiments using datasets from the UCI repository, and a comparison against a common algorithm for multidimensional scaling, shows the behavior of our proposal.  ...  Algorithm 1 shows the generic genetic algorithm used in this work, which is based on the basic genetic algorithms [14] .  ... 
doi:10.1007/978-3-642-31149-9_23 fatcat:n6lrrkwszbf5pjessk532fsqmm

An analysis of the behavior of simplified evolutionary algorithms on trap functions

S. Nijssen, T. Back
2003 IEEE Transactions on Evolutionary Computation  
Methods are developed to numerically analyze an evolutionary algorithm (EA) that applies mutation and selection on a bit-string representation to find the optimum for a bimodal unitation function called  ...  As a main result of this analysis, a new so-called (1 : )-EA is proposed, which generates offspring using individual mutation rates .  ...  This algorithm is a very simplified version of an EA. We use this algorithm to introduce an extension of an ordinary EA: different fixed mutation rates are used to generate children.  ... 
doi:10.1109/tevc.2002.806169 fatcat:vfpgrhzie5hslj6ylhqefviexa

Metamodel-Based Optimization of the Labyrinth Seal

Sebastian Rulik, Włodzimierz Wróblewski, Daniel Frączek
2017 Archive of Mechanical Engineering  
Due to the complexity of the problem and for the sake of the computation time, a decision was made to modify the standard evolutionary optimization algorithm by adding an approach based on a metamodel.  ...  It then complements the next generation of the evolutionary algorithm.  ...  Here, the developed algorithm is based on a traditional genetic algorithm, where some individuals are generated additionally using a metamodel based on an artificial Neural Network.  ... 
doi:10.1515/meceng-2017-0005 fatcat:oj3reoztr5fc3jux3cip6ie7zq

A Novel Cloud Evolutionary Strategy for Ackley's Function

Zi-Qiang LUO, Peng CAO, Bin WEN, Yu ZHANG
2017 DEStech Transactions on Engineering and Technology Research  
than standard genetic algorithm or a kind of optimization algorithm based on the genetic algorithm and nonlinear programming in the convergence speed and search accuracy.  ...  This paper proposes a novel evolutionary strategy based on cloud model, and applies it to solving the well-known multi-modal Ackley's problem.The results indicate that cloud evolutionary strategy is better  ...  For the sake of comparing and analysising, set the total number of individuals of each generation n = 20, community richness m=10, the populations scale PS=(6,4,3,1,1,1,1,1,1,1), λ= 3, K = 4, L= 2, and  ... 
doi:10.12783/dtetr/sste2016/6518 fatcat:rtiduev5jbcm7mmds4shlg26ly

Computation in Large-Scale Scientific and Internet Data Applications is a Focus of MMDS 2010 [article]

Michael W. Mahoney
2010 arXiv   pre-print
; and the second, MMDS 2008, explored more generally fundamental algorithmic and statistical challenges in modern large-scale data analysis.  ...  The 2010 Workshop on Algorithms for Modern Massive Data Sets (MMDS 2010) was held at Stanford University, June 15--18.  ...  Acknowledgments I am grateful to the numerous individuals who provided assistance prior to and during MMDS 2010; to my co-organizers Alex Shkolnik, Petros Drineas, Lek-Heng Lim, Gunnar Carlsson; and to  ... 
arXiv:1012.4231v1 fatcat:46lpcsxylbc7rhv5cr336bdvdm

A simple adaptive Differential Evolution algorithm

Radha Thangaraj, Millie Pant, Ajith Abraham
2009 2009 World Congress on Nature & Biologically Inspired Computing (NaBIC)  
DE is generally considered as a reliable, accurate, robust and fast optimization techniques.  ...  Differential Evolution (DE) is a simple and efficient scheme for global optimization over continuous spaces.  ...  In this way individuals in a new generation are as good as or better than the individuals in the previous generation. IV.  ... 
doi:10.1109/nabic.2009.5393350 dblp:conf/nabic/ThangarajPA09a fatcat:5od2zuwihbctha2nt2v5whhnmm

Genetic Algorithm And Padé-Moment Matching For Model Order Reduction

Shilpi Lavania, Deepak Nagaria
2015 Zenodo  
A mixed method for model order reduction is presented in this paper.  ...  The denominator polynomial is derived by matching both Markov parameters and time moments, whereas numerator polynomial derivation and error minimization is done using Genetic Algorithm.  ...  Selection Function To produce successive generations, selection of individuals plays a very significant role in a genetic algorithm.  ... 
doi:10.5281/zenodo.1109494 fatcat:mjynoxllzjgs3ilhwfinnygiau
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