Title
Space partitioning in engineering design via metamodel acceptance score distribution
Abstract
Metamodels for simulators are used to reduce computational costs in engineering system design. In general, metamodels have different fit accuracy levels over different regions in the design variables space, especially for highly nonlinear responses over wide spaces. A metamodeling strategy should place less emphasis on sub regions in the design variables space requiring relatively less complex metamodels. In this paper, we present a graphically based methodology that can be used to partition the space for piecewise metamodel building. The method is based on analyzing an initial global metamodel for acceptability in terms of prediction accuracy over the whole space; then generating acceptance score distribution (ASD) plots. Visual inspection of the ASD plots is used as a guidance to partition the design variables space, leading to a metamodel with fair prediction accuracy on a piece-by-piece basis, not just globally on average. The proposed methodology is general and can be applied to various metamodel types. It is tested on a number of problems, including some of the most highly nonlinear test problems used in the literature.
Year
DOI
Venue
2007
10.1007/s00366-007-0056-z
Eng. Comput. (Lond.)
Keywords
Field
DocType
engineering system design,different fit accuracy level,prediction accuracy,engineering design,initial global metamodel,model validationsimulation � metamodelingspace partitioning,wide space,fair prediction accuracy,whole space,metamodel acceptance score distribution,various metamodel type,design variables space,piecewise metamodel building,visual inspection
Space partitioning,Visual inspection,Mathematical optimization,Nonlinear system,Computer science,Systems design,Engineering design process,Partition (number theory),Metamodeling,Piecewise
Journal
Volume
Issue
ISSN
23
3
1435-5663
Citations 
PageRank 
References 
2
0.42
7
Authors
2
Name
Order
Citations
PageRank
Husam Hamad1122.81
Adnan Al-Smadi2266.86