Boundary modeling in model-based calibration for automotive engines via the vertex representation of the convex hulls

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• 作者：Hayato Waki ; Florin Nae
• 关键词：Convex hull ; Boundary modeling ; Optimization ; Model ; based calibration ; Automotive engine ; MBC toolbox
• 刊名：Pacific Journal of Mathematics for Industry
• 出版年：2017
• 出版时间：December 2017
• 年：2017
• 卷：9
• 期：1
• 全文大小：546KB
• 刊物类别：Applications of Mathematics; Quantitative Finance; Mathematical Applications in Computer Science; Ma
• 刊物主题：Applications of Mathematics; Quantitative Finance; Mathematical Applications in Computer Science; Mathematical Applications in the Physical Sciences; Mathematical Modeling and Industrial Mathematics;
• 出版者：Springer Berlin Heidelberg
• ISSN：2198-4115
• 卷排序：9

文摘

When using the convex hull approach in the boundary modeling process, Model-Based Calibration (MBC) software suites – such as Model-Based Calibration Toolbox from MathWorks – can be computationally intensive depending on the amount of data modeled. The reason for this is that the half-space representation of the convex hull is used. We discuss here another representation of the convex hull, the vertex representation, which proves capable to reduce the computational cost. Numerical comparisons in this article are executed in MATLAB by using MBC Toolbox commands, and show that for certain conditions, the vertex representation outperforms the half-space representation.