scholarly journals Space-filling designs for computer experiments: A review

2016 ◽  
Vol 28 (1) ◽  
pp. 28-35 ◽  
Author(s):  
V. Roshan Joseph
Keyword(s):  
Computer Experiments ◽  
Space Filling

Design and Analysis of Computer Experiments

2017 ◽  
pp. 264-279
Author(s):  
Xinwei Deng ◽  
Ying Hung ◽  
C. Devon Lin
Keyword(s):  
Complex Systems ◽  
Mathematical Models ◽  
Gaussian Process ◽  
Computer Simulations ◽  
Process Modeling ◽  
Computer Experiments ◽  
Space Filling ◽  
Science And Engineering ◽  
The Past ◽  
Statistical Approaches

Computer experiments refer to the study of complex systems using mathematical models and computer simulations. The use of computer experiments becomes popular for studying complex systems in science and engineering. The design and analysis of computer experiments have received broad attention in the past decades. In this chapter, we present several widely used statistical approaches for design and analysis of computer experiments, including space-filling designs and Gaussian process modeling. A special emphasis is given to recently developed design and modeling techniques for computer experiments with quantitative and qualitative factors.

THEORY, METHOD AND APPLICATIONS OF THE UNIFORM DESIGN

2002 ◽  
Vol 09 (04) ◽  
pp. 305-315 ◽  
Author(s):  
KAI-TAI FANG
Keyword(s):  
Data Analysis ◽  
Uniform Design ◽  
Computer Experiments ◽  
Theory Method ◽  
Space Filling ◽  
Design Problems ◽  
Related Data ◽  
Industrial Experiments ◽  
Modelling Methods ◽  
Experimental Region

In modern techniques and science one meets design problems for multi-factor experiments in a large experimental region where the underlying model is unknown. These problems needs space filling designs. The uniform experimental design seeks its design points to be uniformly scattered on the experimental domain and is one kind of space filling designs that can be used for computer experiments and also for industrial experiments when the underlying model is unknown. In this paper we shall introduce the theory and method of the uniform design and related data analysis and modelling methods. Applications of the uniform design to industry and other areas are discussed.

scholarly journals Efficient Generation of Space Filling Scenarios for Computer Experiments

2013 ◽  
Vol 22 (3) ◽  
pp. 15-23
Author(s):  
Dong-Soon Yim ◽  
Jung-Hoon Kim ◽  
Bong-Whan Choi
Keyword(s):  
Computer Experiments ◽  
Space Filling ◽  
Efficient Generation

Hybrid Space-Filling Designs for Computer Experiments

2012 ◽  
pp. 287-301 ◽  
Author(s):  
Rachel T. Johnson ◽  
Douglas C. Montgomery ◽  
Kathryn S. Kennedy
Keyword(s):  
Computer Experiments ◽  
Space Filling ◽  
Hybrid Space

scholarly journals Space-filling Latin hypercube designs for computer experiments

2010 ◽  
Vol 12 (4) ◽  
pp. 611-630 ◽  
Author(s):  
Bart G. M. Husslage ◽  
Gijs Rennen ◽  
Edwin R. van Dam ◽  
Dick den Hertog
Keyword(s):  
Computer Experiments ◽  
Latin Hypercube ◽  
Space Filling ◽  
Latin Hypercube Designs

A New Method for Constructing Optimal Design of Computer Experiments

2011 ◽  
Vol 148-149 ◽  
pp. 496-504
Author(s):  
Hong Wu ◽  
Wei Ping Wang ◽  
Feng Yang
Keyword(s):  
Search Algorithm ◽  
Computer Experiments ◽  
New Method ◽  
Optimal Designs ◽  
Optimal Experimental Design ◽  
Latin Hypercube Design ◽  
Space Filling ◽  
Design Of Computer Experiments ◽  
Optimal Criterion ◽  
Global Optimal

Computer experiments are widely used for the design and development of products. Therefore, a new method for constructing optimal experimental design(SOEDM) is developed in this paper. There are two major developments involved in this work. One is on developing a multi- objective optimal criterion by combining correlation and space-filling criteria. The other is on developing an efficient global optimal search algorithm, named as improved enhanced stochastic evolutionary (IESE) algorithm. Several examples are presented to show: the optimal designs are good in terms of both the correlation and distance criteria, the new method can be used in other experimental designs besides Latin hypercube design the number of levels of each factor is equal to the number of the experimental schemes, and the new algorithm is fast.

scholarly journals Optimal Sliced Latin Hypercube Designs with Slices of Arbitrary Run Sizes

Mathematics ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 854 ◽  
Author(s):  
Jing Zhang ◽  
Jin Xu ◽  
Kai Jia ◽  
Yimin Yin ◽  
Zhengming Wang
Keyword(s):  
Computer Experiments ◽  
New Method ◽  
Latin Hypercube ◽  
Space Filling ◽  
Latin Hypercube Designs ◽  
Qualitative Factors ◽  
Experimental Region

Sliced Latin hypercube designs (SLHDs) are widely used in computer experiments with both quantitative and qualitative factors and in batches. Optimal SLHDs achieve better space-filling property on the whole experimental region. However, most existing methods for constructing optimal SLHDs have restriction on the run sizes. In this paper, we propose a new method for constructing SLHDs with arbitrary run sizes, and a new combined space-filling measurement describing the space-filling property for both the whole design and its slices. Furthermore, we develop general algorithms to search for the optimal SLHD with arbitrary run sizes under the proposed measurement. Examples are presented to illustrate that effectiveness of the proposed methods.

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