An adaptive Kriging method with double sampling criteria applied to hydrogen preparation case |
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| Affiliation: | 1. College of Mechanical Engineering in Xuchang University, 461000, Xuchang, China;2. College of Science, Huazhong Agricultural University, 430070, Wuhan, China;1. Boreskov Institute of Catalysis, Pr. Akademika Lavrentieva, 5, Novosibirsk, 630090, Russia;2. Institute of Solid State Physics RAS, St. Academician Osipyan, 2, Chernogolovka, 142432, Moscow, Russia;3. Novosibirsk State University, St. Pirogova, 2, Novosibirsk, 630090, Russia;1. Mudanjiang Normal University, Heilongjiang Province Key Laboratory of New Carbon-Base Functional and Superhard Material, Mudanjiang, 157011, China;2. Institute of Chemical Safety, School of Safety Science and Engineering, Henan Polytechnic University, Jiaozuo, 454003, China;3. School of Physics and Electronic Engineering, Mudanjiang Normal University, Mudanjiang, 157011, China;1. School of Materials and Chemical Engineering, Chuzhou University, Chuzhou, Anhui, 239000, China;2. Jiangsu Key Laboratory of Advanced Catalytic Materials and Technology, Changzhou University, Changzhou, Jiangsu, 213164, China;3. School of Chemical Engineering and Technology, Sun Yat-sen University, Zhuhai, Guangdong, 519082, China;1. Institute of Research and Development, Duy Tan University, Da Nang, 550000, Viet Nam;2. The Faculty of Civil Engineering, Duy Tan University, Da Nang, 550000, Viet Nam;3. Faculty Environmental Management, Prince of Songkla University, Songkhla, Thailand;4. Industrial Engineering Department, Yazd University, Yazd, Iran;1. Department of Mechanical and Automation Engineering, Kao Yuan University, Kaohsiung, Taiwan;2. Department of Power Mechanical Engineering, National Formosa University, Yunlin, Taiwan;3. Advanced Engine Research Center, Kao Yuan University, Kaohsiung, Taiwan |
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| Abstract: | Kriging model has been widely used to approximate expensive black-box problems in many engineering design fields. How to choose an appropriate sampling strategy to produce new expensive updated points is crucial. For this purpose, an adaptive Kriging method with double sampling criteria (AKM-DSC) is proposed. During every iteration of it, maximum curvature criterion and maximum variance criterion based on Kriging model are respectively optimized by trust region (TR) strategy to produce two candidate points. And then, a new screening method is used to determine final expensive-evaluation points from the two candidates. The proposed method is compared with the two typical Kriging modeling methods. The comparison results of seventeen benchmark functions verify that the proposed method can generate higher accuracy Kriging model. Finally, a hydrogen preparation case illustrates the engineering application value of the AKM-DSC method. |
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| Keywords: | Kriging model Infill sampling criteria Global approximation Hydrogen preparation |
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