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Evolutionary algorithm with multiobjective optimization technique for solving nonlinear equation systems

INFORMATION SCIENCES 2020年 541卷 345-361页

作者： Gao, Weifeng Luo, Yuting Xu, Jingwei Zhu, Shengqi Xidian Univ Sch Math & Stat Xian 710126 Peoples R China Xidian Univ Natl Lab Radar Signal Proc Xian 710126 Peoples R China

The challenge of solving nonlinear equation systems is how to locate multiple optimal solutions simultaneously in a single run. To address this issue, this paper proposes a novel algorithm by combining a diversity indicator, multi-objective optimization technique, and clustering technique. Firstly, a diversity indicator is designed to maintain the diversity of the population. Then, a K-means clustering-based selection strategy is introduced to locate the promising solutions. Finally, the local search is used to accelerate the convergence of population. The experimental results on 30 nonlinear equation systems show that the proposed algorithm is better than six state-of-the-art algorithms in terms of convergence rate and success rate. (C) 2020 Elsevier Inc. All rights reserved.

关键词： Nonlinear equation systems Transformation technique multiobjective optimization technique K-means clustering Differential evolution (DE)

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multiobjective optimization technique based on monitoring information to increase the performance of thread migration on multicores 16

Multiobjective optimization technique based on monitoring in...

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16th IEEE International Conference on Cluster Computing (CLUSTER)

作者： Lorenzo, O. G. Pena, T. F. Cabaleiro, J. C. Pichel, J. C. Rivera, F. F. Univ Santiago de Compostela CITIUS Ctr Invest Tecnoloxias Informac Santiago De Compostela Galicia Spain

ISBN: (纸本)9781479955480

Multicore systems present on-board memory hierarchies and communication networks that influence their performance when they execute shared memory parallel codes. Characterizing this influence is complex, and understanding the effect of particular hardware configurations on different codes is of paramount importance. In this paper, monitoring information extracted from hardware counters in runtime is used to characterize the behaviour of each thread in the parallel code in terms of three values: the number of floating point operations per second, the operational intensity, and the memory access latency. Note that these values characterize the Roofline Model with the inclusion of additional information about memory access latencies. We propose to use this information to guide thread migration strategies that improve the efficiency of the execution of the code by increasing locality and affinity. The idea behind this proposal is to use these three values as objective functions to be optimized as a multiobjective optimization problem. The proposed technique is an iterative method inspired in evolutive optimization algorithms. To this end, an individual utility function is defined to represent the relative importance of these values. This function is a weighted product that can be considered as representative of the performance of each parallel thread. Different configurations of the SAXPY and SDOT kernels on multicores were used to validate the benefits of the proposed thread migration strategies. The results show that our strategy produces improvements up to 25% in scenarios where locality and affinity are low, and negligible degradation is observed when they are high. The use of hardware counters produces low overheads when extracting monitoring information.

关键词： monitoring optimisation shared memory systems telecommunication networks SAXPY kernels SDOT kernels communication networks monitoring information multicore systems multiobjective optimization technique on-board memory hierarchies roofline model shared memory parallel codes thread migration Hardware Instruction sets Message systems Monitoring Multicore processing optimization Vectors

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Solving Nonlinear Equation Systems by a Two-Phase Evolutionary Algorithm

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IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS 2021年第9期51卷 5652-5663页

作者： Gao, Weifeng Li, Genghui Zhang, Qingfu Luo, Yuting Wang, Zhenkun Xidian Univ Sch Math & Stat Xian 710126 Peoples R China City Univ Hong Kong Dept Comp Sci Hong Kong Peoples R China

A two-phase evolutionary algorithm is developed to find multiple solutions of a nonlinear equations system. It transforms a nonlinear equations system into a multimodal optimization problem. In phase one of the proposed algorithm, a strategy combines a multiobjective optimization technique and a niching technique to maintain the population diversity. Phase two consists of a detection method and a local search method for encouraging the convergence. The detection method finds several promising subregions and the local search method locates the corresponding optimal solutions in each promising subregion. The experiments on a set of 30 nonlinear equation systems demonstrate that the proposed algorithm is better than other state-of-the-art algorithms.

关键词： optimization Sociology Statistics Convergence Nonlinear equations Transforms Maintenance engineering multiobjective optimization technique niching technique nonlinear equation systems (NESs) population diversity

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Comparison of Two Constraint Handling techniques: An empirical study 38

Comparison of Two Constraint Handling Techniques: An empiric...

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38th Chinese Control Conference (CCC)

作者： Si, Chengyong Shen, Jianqiang Zheng, Jiajun Hua, Ziying Wang, Lei Univ Shanghai Sci & Technol Shanghai Hamburg Coll Shanghai 200093 Peoples R China Tongji Univ Coll Elect & Informat Engn Shanghai 201804 Peoples R China

ISBN: (纸本)9789881563972

The relationship between Constraint Handling techniques (CHTs) and Constrained optimization Problems (COPs) is an important issue as it gives some direction on deciding when and how to use these CHTs effectively. In the previous studies, the relationship between problems and algorithms as well as the CHTs are studied from the qualitative and quantitative aspects. This paper tries to study the relationship between COPs and two simple CHTs, i.e., Deb's feasibility-based rule and multiobjective optimization technique, with a new set of benchmark functions adopted. The experimental results show the importance of the classification of problems, which is a basis for related research.

关键词： Constrained optimization Deb's feasibility-based rule multiobjective optimization technique problem characteristics

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Comparison of Two Constraint Handling techniques: An empirical study

Comparison of Two Constraint Handling Techniques: An empiric...

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第三十八届中国控制会议

作者： Chengyong Si Jianqiang Shen Jiajun Zheng Ziying Hua Lei Wang Shanghai-Hamburg College University of Shanghai for Science and Technology College of Electronics and Information Engineering Tongji University

The relationship between Constraint Handling techniques(CHTs) and Constrained optimization Problems(COPs) is an important issue as it gives some direction on deciding when and how to use these CHTs effectively. In the previous studies, the relationship between problems and algorithms as well as the CHTs are studied from the qualitative and quantitative aspects. This paper tries to study the relationship between COPs and two simple CHTs, i.e., Deb's feasibility-based rule and multiobjective optimization technique, with a new set of benchmark functions adopted. The experimental results show the importance of the classification of problems, which is a basis for related research.

关键词： Constrained optimization Deb's feasibility-based rule multiobjective optimization technique problem characteristics

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Parameter Estimation for a System of Beams Resting on Stone Column-Reinforced Soft Soil

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INTERNATIONAL JOURNAL OF GEOMECHANICS 2013年第3期13卷 222-233页

作者： Deb, Kousik Dhar, Anirban Indian Inst Technol Dept Civil Engn Kharagpur 721302 W Bengal India

The paper pertains to the development of a methodology for the identification of optimal design parameters for a system of beams resting on a stone column-improved soft soil. The simulation optimization-based methodology combines a finite difference-based simulation model and an evolutionary multiobjective optimization model. Two different formulations subjected to stress constraints have been incorporated within the methodology;i.e., (1) minimization of settlement at the center of the beam and minimization of the maximum bending moment and (2) minimization of settlement at the center of the beam and minimization of the maximum shear force. Critical evaluation of an illustrative system shows that stiffness of the stone columns or modular ratio and flexural rigidity of the beam are the most important parameters for optimal design. The obtained results also show the potential applicability of the proposed simulation optimization-based methodology. (C) 2013 American Society of Civil Engineers.

关键词： Beam Combined simulation-optimization framework multiobjective optimization technique Optimal design parameters Soft soil Stone columns

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An optimal design of interior permanent magnet synchronous motor for the next generation commuter train

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IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY 2004年第2期14卷 1902-1905页

作者： Fujishima, Y Wakao, S Kondo, M Terauchi, N Waseda Univ Dept Elect Engn & Biosci Tokyo 1698555 Japan Railway Tech Res Inst Tokyo 1858540 Japan

In this paper, we propose a computational approach to the design of an interior permanent magnet synchronous motor to clarify its optimal design applied for traction systems of the next generation commuter train. In the approach, the finite element method, the multiobjective optimization technique, and the response surface methodology are effectively introduced. This approach enables us to save the CPU-time dramatically without degrading accuracies. Additionally, the proposed approach provides the effective information to design engineers. Finally we validate the proposed approach.

关键词： design optimization interior permanent magnet synchronous motor multiobjective optimization technique response surface methodology

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An optimal design of interior permanent magnet synchronous motor for the next generation commuter train

An optimal design of interior permanent magnet synchronous m...

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18th International Conference on Magnet Technology

作者： Fujishima, Y Wakao, S Kondo, M Terauchi, N Waseda Univ Dept Elect Engn & Biosci Tokyo 1698555 Japan Railway Tech Res Inst Tokyo 1858540 Japan

关键词： design optimization interior permanent magnet synchronous motor multiobjective optimization technique response surface methodology

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