Bibliography
Number of the published data : 20
No. Title Author Range Publisher Publication date ISBN URL Description
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
65-86
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 population-based 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 Rotation-Invariant Blend Crossover in a Real-Coded Genetic Algorithm", in Recent Studies in Economic Sciences: Information Systems, Project Managements, Economics, OR and Mathematics
Setsuko Sakai and Tetsuyuki Takahama
65-87
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 group-based 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
51-91
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 group-based learning is shown by solving
thirteen benchmark problems.
4 "A Comparative Study on Detecting Ridge Structure for Population-Based Optimization Algorithms", in Contemporary Works in Economic Sciences: Legal Informatics, Economics, OR and Mathematics
Setsuko Sakai, Tetsuyuki Takahama
61-82
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
101-121
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
55-80
Kyushu University Press
2014/03



7 "A Comparative Study on Graph-Based Speciation Methods for Species-Based Differential Evolution" in Social Systems Solutions through Economic Sciences
Setsuko Sakai, Tetsuyuki Takahama
105-125
Kyushu University Press
2013/03



8 "A Comparative Study on Neighborhood Structures for Speciation in Species-Based Differential Evolution", in Social Systems Solutions Applied by Economic Sciences and Mathematical Solutions
Setsuko Sakai, Tetsuyuki Takahama
111-135
Kyushu University Press
2012/03



9 "RIDE: Differential Evolution with a Rotation-Invariant Crossover Operation for Nonlinear Optimization", in The New Viewpoints and New Solutions of Economic Sciences in the Information Society
Setsuko Sakai, Tetsuyuki Takahama
85-108
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
111-129
Springer-Verlag
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
112-134
Kyushu University Press
2010/03



12 "Solving Difficult Constrained Optimization Problems by the ε Constrained Differential Evolution with Gradient-Based Mutation" in Constraint-Handling in Evolutionary Optimization
Tetsuyuki Takahama, Setsuko Sakai
51-72
Springer-Verlag
2009/04



13 "Multiobjective Optimization by Improved NSGA-II with Extended Crossover and Uniform Distance Selection" in Research on Information Society and Social Systems
Setsuko Sakai, Tetsuyuki Takahama
121-142
Kyushu University Press
2008/10



14 "Constrained Optimization by epsilon Constrained Differential Evolution with Dynamic epsilon-level Control" in Advances in Differential Evolution
Tetsuyuki Takahama, Setsuko Sakai
139-154
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
71-87
Kyushu University Press
2007



16 "Constrained Optimization by alpha Constrained Genetic Algorithm with Simplex Crossover" in Applied Economic Informatics and Systems Sciences
Setsuko Sakai, Tetsuyuki Takahama
173-208
Kyushu University Press
2005



17 "Discovery of Cluster Structure and the Clustering Rules from Medical Database Using ADG; Automatically Defined Groups" in Knowledge-Based Intelligent Systems for Healthcare
Akira Hara, Takumi Ichimura, Tetsuyuki Takahama, Yoshinori Isomichi
51-86
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
256-277
Springer Verlag
2004



19 "Electronic Tendering System -- A New Pricing System --" in Agent-Based Approaches in Economic and Social Complex Systems
Y.Isomichi, T.Takahama
91-97
IOS press
2002



20 情報の論理数学入門(共著)



1991