On the Influence of the Interaction Laws of a Dynamical Particle System for Sample Optimization

• Main Authors: Mašek Jan, Vořechovský Miroslav
• Format: Article
• Language: English
• Published: Sciendo 2017-06-01
• Series: Transactions of the VŠB: Technical University of Ostrava, Civil Engineering Series
• Subjects: Particle dynamical system; statistical sampling optimization; periodic space; particle interaction laws; short- and long-range interactions; self-similar designs
• Online Access: http://www.degruyter.com/view/j/tvsb.2017.17.issue-1/tvsb-2017-0016/tvsb-2017-0016.xml?format=INT

The presented paper investigates the effect of the formulation of the energy potential of a dynamical particle system used for the optimization of statistical point sampling. The dynamical particle system, originally developed as a physical analogy to the Audze-Eglajs (AE) optimization criterion and its periodical modification (PAE), effectively demonstrated that the originally proposed energy potential performs well only in poorly applicable scenarios featuring low-dimensional design domains filled with a rather high number of design points. A remedy is presented which involves a refined formulation of the energy potential, as well as its derivation. The reasoning behind this approach is also dealt with in detail.