No. 
タイトル 
著者 
担当範囲 
出版社 
出版日 
ISBN 
URL 
概要 
1 
"A Study on an Equivalent Penalty Coefficient Value for Adaptive Control of the Penalty Coefficient in Constrained Optimization by Differential Evolution", in Advanced Studies in Economic Sciences: Information Systems, Economics and OR

Setsuko Sakai and Tetsuyuki Takahama

6586

Kyushu University Press

2019/02



The penalty function method has been widely used for solving constrained optimization problems. In the method, an extended objective function, which is the sum of the objective value and the constraint violation weighted by the penalty coefficient, is optimized. However, it is difficult to control the coefficient properly because proper control varies in each problem. In this study, the equivalent penalty coefficient value (EPC) is proposed for populationbased optimization algorithms (POAs). EPC can be defined in POAs where a new solution is compared with the old solution. EPC is the penalty coefficient value that makes the two extended objective values of the solutions the same. Search that gives priority to objective values is realized by selecting a small EPC in a population. Search that gives priority to constraint violations is realized by selecting a large EPC. It is expected that the adaptive control of the penalty coefficient can be realized by selecting an appropriate EPC. The proposed method is introduced to differential evolution. The nature of the proposed method is shown by solving several constrained optimization problems.

2 
"A Study on Selecting an Oblique Coordinate System for RotationInvariant Blend Crossover in a RealCoded Genetic Algorithm", in Recent Studies in Economic Sciences: Information Systems, Project Managements, Economics, OR and Mathematics

Setsuko Sakai and Tetsuyuki Takahama

6587

Kyushu University Press

2018/02



Differential Evolution (DE) has been successfully applied to various optimization problems. The performance of DE is affected by algorithm parameters such as a scaling factor F and a crossover rate CR. Many studies have been done to control the parameters adaptively. One of the most successful studies on controlling the parameters is JADE. In JADE, the values of each parameter are generated according to one probability density function (PDF) which is learned by the values in success cases where the child is better than the parent. However, search performance might be improved by learning multiple PDFs for each parameter based on some characteristics of search points. In this study, search points are divided into plural groups according to some criteria and PDFs are learned by parameter values in success cases for each group. Objective values and distances from a reference point, which is the best search point or the centroid of search points, are adopted as the criteria. The effect of JADE with groupbased learning is shown by solving thirteen benchmark problems.

3 
"A Comparative Study on Grouping Methods for an Adaptive Differential Evolution", in Challenging Researches in Economic Sciences: Legal Informatics, Environmental Economics, Economics, OR and Mathematics

Setsuko Sakai and Tetsuyuki Takahama

5191

Kyushu University Press

2017/03



Differential Evolution (DE) has been successfully applied to various optimization problems. The performance of DE is affected by algorithm parameters such as a scaling factor F and a crossover rate CR. Many studies have been done to control the parameters adaptively. One of the most successful studies on controlling the parameters is JADE. In JADE, the values of each parameter are generated according to one probability density function (PDF) which is learned by the values in success cases where the child is better than the parent. However, search performance might be improved by learning multiple PDFs for each parameter based on some characteristics of search points. In this study, search points are divided into plural groups according to some criteria and PDFs are learned by parameter values in success cases for each group. Objective values and distances from a reference point, which is the best search point or the centroid of search points, are adopted as the criteria. The effect of JADE with groupbased learning is shown by solving thirteen benchmark problems.

4 
"A Comparative Study on Detecting Ridge Structure for PopulationBased Optimization Algorithms", in Contemporary Works in Economic Sciences: Legal Informatics, Economics, OR and Mathematics

Setsuko Sakai, Tetsuyuki Takahama

6182

Kyushu University Press

2016/02




5 
"A Study on Adaptive Parameter Control for Interactive Differential Evolution Using Pairwise Comparison", in New Solutions in Legal Informatics, Economic Sciences and Mathematics

Setsuko Sakai, Tetsuyuki Takahama

101121

Kyushu University Press

2015/03




6 
"A Comparative Study on Estimation Methods of Landscape Modality for Evolutionary Algorithms" in Legal Informatics, Economic Science and Mathematical Research

Setsuko Sakai, Tetsuyuki Takahama

5580

Kyushu University Press

2014/03




7 
"A Comparative Study on GraphBased Speciation Methods for SpeciesBased Differential Evolution" in Social Systems Solutions through Economic Sciences

Setsuko Sakai, Tetsuyuki Takahama

105125

Kyushu University Press

2013/03




8 
"A Comparative Study on Neighborhood Structures for Speciation in SpeciesBased Differential Evolution", in Social Systems Solutions Applied by Economic Sciences and Mathematical Solutions

Setsuko Sakai, Tetsuyuki Takahama

111135

Kyushu University Press

2012/03




9 
"RIDE: Differential Evolution with a RotationInvariant Crossover Operation for Nonlinear Optimization", in The New Viewpoints and New Solutions of Economic Sciences in the Information Society

Setsuko Sakai, Tetsuyuki Takahama

85108

Kyushu University Press

2011/03




10 
"Reducing Function Evaluations Using Adaptively Controlled Differential Evolution with Rough Approximation Model" in Computational Intelligence in Expensive Optimization Problems

T.Takahama and S.Sakai

111129

SpringerVerlag

2010/04




11 
"A Parametric Study on Estimated Comparison in Differential Evolution with Rough Approximation Model" in Social Systems Solution by Legal Informatics, Economic Sciences and Computer Science

Setsuko Sakai and Tetsuyuki Takahama

112134

Kyushu University Press

2010/03




12 
"Solving Difficult Constrained Optimization Problems by the ε Constrained Differential Evolution with GradientBased Mutation" in ConstraintHandling in Evolutionary Optimization

Tetsuyuki Takahama, Setsuko Sakai

5172

SpringerVerlag

2009/04




13 
"Multiobjective Optimization by Improved NSGAII with Extended Crossover and Uniform Distance Selection" in Research on Information Society and Social Systems

Setsuko Sakai, Tetsuyuki Takahama

121142

Kyushu University Press

2008/10




14 
"Constrained Optimization by ε Constrained Differential Evolution with Dynamic εlevel Control" in Advances in Differential Evolution

Tetsuyuki Takahama, Setsuko Sakai

139154

Springer Verlag

2008/06




15 
"Constrained Optimization by Applying a Stochastic Constrained Method to Particle Swarm Optimization", In System Sciences for Economics and Informatics

Setsuko Sakai, Tetsuyuki Takahama

7187

Kyushu University Press

2007




16 
"Constrained Optimization by α Constrained Genetic Algorithm with Simplex Crossover" in Applied Economic Informatics and Systems Sciences

Setsuko Sakai, Tetsuyuki Takahama

173208

Kyushu University Press

2005




17 
"Discovery of Cluster Structure and the Clustering Rules from Medical Database Using ADG; Automatically Defined Groups" in KnowledgeBased Intelligent Systems for Healthcare

Akira Hara, Takumi Ichimura, Tetsuyuki Takahama, Yoshinori Isomichi

5186

Advanced Knowledge International

2004




18 
"Structural Optimization of Neural Networks by Genetic Algorithm with Degeneration (GAd)" in Neural Information Processing: Research and Development

Tetsuyuki Takahama, Setsuko Sakai, Yoshinori Isomichi

256277

Springer Verlag

2004




19 
"Electronic Tendering System  A New Pricing System " in AgentBased Approaches in Economic and Social Complex Systems

Y.Isomichi, T.Takahama

9197

IOS press

2002




20 
情報の論理数学入門(共著)




1991



