Metamodeling: Radial basis functions, versus polynomials

Hussain, Mohammed F.; Barton, Russell R.; Joshi, Sanjay

doi:10.1016/s0377-2217(01)00076-5

Cited by 169 publications

(103 citation statements)

References 14 publications

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“…49 Parametric techniques approximate the functions with no prior knowledge about the underlying data; such techniques include polynomial models and Taguchi models. Non-parametric techniques have an a priori set of functions which are used to derive an approximate function based on observed responses.…”

Section: Review Of Metamodelling: Methodsmentioning

confidence: 99%

Methods for expected value of information analysis in complex health economic models: developments on the health economics of interferon-β and glatiramer acetate for multiple sclerosis

Tappenden

Chilcott²,

Eggington³

et al. 2004

Health Technol Assess

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Section: Review Of Metamodelling: Methodsmentioning

confidence: 99%

Methods for expected value of information analysis in complex health economic models: developments on the health economics of interferon-β and glatiramer acetate for multiple sclerosis

Tappenden

Chilcott²,

Eggington³

et al. 2004

Health Technol Assess

View full text Add to dashboard Cite

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“…In general, using a stochastic kriging metamodel can support both continuous and discrete-valued decision variables. Hussain et al (2002) used radial basis function as the metamodel, which is typically less computationally demanding than kriging. Another type of metamodel is neural networks (Laguna and Marti, 2002).…”

Section: Meta-model Based Methodsmentioning

confidence: 99%

Simulation Optimization: A Review and Exploration in the New Era of Cloud Computing and Big Data

Huang

Chen

et al. 2015

Asia Pac. J. Oper. Res.

163

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Recent advances in simulation optimization research and explosive growth in computing power have made it possible to optimize complex stochastic systems that are otherwise intractable. In the first part of this paper, we classify simulation optimization techniques into four categories based on how the search is conducted. We provide tutorial expositions on representative methods from each category, with a focus in recent developments, and compare the strengths and limitations of each category. In the second part of this paper, we review applications of simulation optimization in various contexts, with detailed discussions on health care, logistics, and manufacturing systems. Finally, we explore the potential of simulation optimization in the new era. Specifically, we discuss * Corresponding author. how simulation optimization can benefit from cloud computing and high-performance computing, its integration with big data analytics, and the value of simulation optimization to help address challenges in engineering design of complex systems.

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“…An RSM based on a radial basis function (RBF) was used to develop statistical surrogate models of the ATD responses with respect to the restraint conditions for each ATD/crash condition. An RBF-based RSM has been widely discussed and applied in building the surrogate models and helping conduct complex optimization analysis (Hussain et al 2002;McDonald et al 2007;Zhou et al 2016). In the current study, the ATD responses included the head injury criterion (HIC), neck tension, neck compression, chest 3-ms clip, chest deflection, and left and right femur forces.…”

Section: Response Surface Modelmentioning

confidence: 99%

Does unbelted safety requirement affect protection for belted occupants?

Klinich

Manary

et al. 2017

Traffic Injury Prevention

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Objective: Federal regulations in the United States require vehicles to meet occupant performance requirements with unbelted test dummies. Removing the test requirements with unbelted occupants might encourage the deployment of seat belt interlocks and allow restraint optimization to focus on belted occupants. The objective of this study is to compare the performance of restraint systems optimized for beltedonly occupants with those optimized for both belted and unbelted occupants using computer simulations and field crash data analyses. Methods: In this study, 2 validated finite element (FE) vehicle/occupant models (a midsize sedan and a midsize SUV) were selected. Restraint design optimizations under standardized crash conditions (U.S.-NCAP and FMVSS 208) with and without unbelted requirements were conducted using Hybrid III (HIII) small female and midsize male anthropomorphic test devices (ATDs) in both vehicles on both driver and right front passenger positions. A total of 10 to 12 design parameters were varied in each optimization using a combination of response surface method (RSM) and genetic algorithm. To evaluate the field performance of restraints optimized with and without unbelted requirements, 55 frontal crash conditions covering a greater variety of crash types than those in the standardized crashes were selected. A total of 1,760 FE simulations were conducted for the field performance evaluation. Frontal crashes in the NASS-CDS database from 2002 to 2012 were used to develop injury risk curves and to provide the baseline performance of current restraint system and estimate the injury risk change by removing the unbelted requirement. Results: Unbelted requirements do not affect the optimal seat belt and airbag design parameters in 3 out of 4 vehicle/occupant position conditions, except for the SUV passenger side. Overall, compared to the optimal designs with unbelted requirements, optimal designs without unbelted requirements generated the same or lower total injury risks for belted occupants depending on statistical methods used for the analysis, but they could also increase the total injury risks for unbelted occupants. Conclusions: This study demonstrated potential for reducing injury risks to belted occupants if the unbelted requirements are eliminated. Further investigations are necessary to confirm these findings.

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Metamodeling: Radial basis functions, versus polynomials

Cited by 169 publications

References 14 publications

Methods for expected value of information analysis in complex health economic models: developments on the health economics of interferon-β and glatiramer acetate for multiple sclerosis

Methods for expected value of information analysis in complex health economic models: developments on the health economics of interferon-β and glatiramer acetate for multiple sclerosis

Simulation Optimization: A Review and Exploration in the New Era of Cloud Computing and Big Data

Does unbelted safety requirement affect protection for belted occupants?

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