Publication:
Flexible space-filling designs for complex system simulations

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Authors
MacCalman, Alexander D.
Subjects
Computer Experiments
Design of Experiments
Genetic Algorithm
Latin Hypercube
Response Surface Methodology
Nearly Orthogonal
Advisors
Paulo, Eugene P.
Date of Issue
2013-06
Date
Jun-13
Publisher
Monterey, California: Naval Postgraduate School
Language
Abstract
In order to better understand the complex nature of a system, analysts need efficient experimental designs that can explore high-dimensional simulation models with multiple outputs. These simulation models are critical to the early phases of system design and involve complicated outputs with a wide variety of linear and nonlinear response surface forms. The most common response surface form for analyzing complex systems is the second-order model. Traditional designs that fit second-order response surface models do not effectively explore the interior of the experimental region and cannot fit higher-order models. We present a genetic algorithm that constructs space-filling designs with minimal correlations between all second-order terms for a mix of continuous and discrete factor types. These designs are specifically suited to fit the second-order model with excellent space-filling properties and are flexible enough to fit higher-order models for a modest number of factors; these high-order terms are what characterize the system complexities. We demonstrate the utility of these designs with a Model-Based Systems Engineering application that integrates multiple simulation outputs to form a trade-off environment for a system design. This research enables the simulation analysis and system design community to better understand the complex nature of multiple simulation outputs.
Type
Thesis
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Department
Computer Science
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NPS Report Number
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Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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