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Uniform Design: Theory and Application
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Geometric ModelingDesign Space ExplorationEngineeringThreshold AcceptingNatural SciencesAdvanced DesignDesignBlock DesignShape OptimizationComputer EngineeringComputer-aided DesignComputer ScienceStructural OptimizationUniform DesignComputational GeometryDesign PointsEquipment DesignTopology Optimization
Uniform design (UD) seeks design points that are uniformly scattered on the domain and has been popular since 1980. The study investigates the relationship between uniformity and orthogonality. The authors survey UD fundamentals, construction methods, and examples, and employ a threshold‑accepting global optimization algorithm to generate low‑discrepancy designs. The study demonstrates that UD's possess many desirable properties for diverse applications and that most designs produced are orthogonal.
A uniform design (UD) seeks design points that are uniformly scattered on the domain. It has been popular since 1980. A survey of UD is given in the first portion: The fundamental idea and construction method are presented and discussed and examples are given for illustration. It is shown that UD's have many desirable properties for a wide variety of applications. Furthermore, we use the global optimization algorithm, threshold accepting, to generate UD's with low discrepancy. The relationship between uniformity and orthogonality is investigated. It turns out that most UD's obtained here are indeed orthogonal.