Dynamical model of repelling particles for construction of distance-based designs

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F19%3APU134425" target="_blank" >RIV/00216305:26110/19:PU134425 - isvavai.cz</a>

Výsledek na webu

<a href="https://esrel2019.org/" target="_blank" >https://esrel2019.org/</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3850/978-981-11-2724-3-1107-cd" target="_blank" >10.3850/978-981-11-2724-3-1107-cd</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Dynamical model of repelling particles for construction of distance-based designs

Popis výsledku v původním jazyce

A methodology is proposed for construction of uniformly distributed point sets within a design domain using an analogy to a dynamical system of interacting particles. It is shown that the distance-based fp criterion of optimality can be viewed as a potential energy of a system of charged particles. The potential energy is employed in derivation of the equations of motion of the particles. The dissipative dynamical system of mutually repelling particles can be simulated to achieve optimal and near-optimal arrangements of points (the design). The design domain is selected to be an Nvar-dimensional unit hypercube, with Nvar being the number of variables (factors). The number of points is equal to the number of simulations (levels). The fp criterion guarantees that the points are spread uniformly within the design domain. Periodicity assumption of the design domain is shown to be an elegant solution how to obtain statistically uniform coverage of the design domain. Solution to such an N-body system is presented. The designs obtained are shown to outperform the existing designs being optimized for multidimensional numerical integration.

Název v anglickém jazyce

Dynamical model of repelling particles for construction of distance-based designs

Popis výsledku anglicky

A methodology is proposed for construction of uniformly distributed point sets within a design domain using an analogy to a dynamical system of interacting particles. It is shown that the distance-based fp criterion of optimality can be viewed as a potential energy of a system of charged particles. The potential energy is employed in derivation of the equations of motion of the particles. The dissipative dynamical system of mutually repelling particles can be simulated to achieve optimal and near-optimal arrangements of points (the design). The design domain is selected to be an Nvar-dimensional unit hypercube, with Nvar being the number of variables (factors). The number of points is equal to the number of simulations (levels). The fp criterion guarantees that the points are spread uniformly within the design domain. Periodicity assumption of the design domain is shown to be an elegant solution how to obtain statistically uniform coverage of the design domain. Solution to such an N-body system is presented. The designs obtained are shown to outperform the existing designs being optimized for multidimensional numerical integration.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

20102 - Construction engineering, Municipal and structural engineering

Projekt

<a href="/cs/project/GC19-06684J" target="_blank" >GC19-06684J: Únava konstrukčního betonu řízená kumulativním smykovým přetvořením</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

29th European safety and reliability conference (ESREL)

ISBN

978-981-11-2724-3

ISSN

—

e-ISSN

—

Počet stran výsledku

8

Strana od-do

2663-2667

Název nakladatele

Neuveden

Místo vydání

Hannover, Germany

Místo konání akce

Hannover

Datum konání akce

22. 9. 2019

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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