Evaluation of miniMax Criterion in Constrained Design Domains

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F14%3A00219522" target="_blank" >RIV/68407700:21110/14:00219522 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.esco2014.femhub.com/docs/ESCO2014_Book_of_Abstracts.pdf" target="_blank" >http://www.esco2014.femhub.com/docs/ESCO2014_Book_of_Abstracts.pdf</a>

DOI - Digital Object Identifier

—

Jazyk výsledku

angličtina

Název v původním jazyce

Evaluation of miniMax Criterion in Constrained Design Domains

Popis výsledku v původním jazyce

Space-filling criterion miniMax (mM) of a given design of experiments corresponds to the Largest Empty Sphere problem (LES). The objective is to find the largest (hyper)-sphere that includes no design point and whose center lies in the solved design domain. The value of the miniMax criterion is then equal to the radius of this largest sphere. Position of the largest sphere serves for detection of unexplored areas inside the domain. The smaller the miniMax value, the better the design. The evaluation ofthis criterion represents a complex problem. The exact value can be found using Voronoi diagram. The difficulties associated with finding of intersections of Voronoi edges with faces of the domain can be effectively solved by mirroring of the design points. Unfortunately the time and computational demands of computation of the Voronoi diagram grow rapidly with dimensions. Since engineering praxis often faces constrained multidimensional problems the method for evaluation of the criterion

Název v anglickém jazyce

Evaluation of miniMax Criterion in Constrained Design Domains

Popis výsledku anglicky

Space-filling criterion miniMax (mM) of a given design of experiments corresponds to the Largest Empty Sphere problem (LES). The objective is to find the largest (hyper)-sphere that includes no design point and whose center lies in the solved design domain. The value of the miniMax criterion is then equal to the radius of this largest sphere. Position of the largest sphere serves for detection of unexplored areas inside the domain. The smaller the miniMax value, the better the design. The evaluation ofthis criterion represents a complex problem. The exact value can be found using Voronoi diagram. The difficulties associated with finding of intersections of Voronoi edges with faces of the domain can be effectively solved by mirroring of the design points. Unfortunately the time and computational demands of computation of the Voronoi diagram grow rapidly with dimensions. Since engineering praxis often faces constrained multidimensional problems the method for evaluation of the criterion

Druh

O - Ostatní výsledky

CEP obor

JD - Využití počítačů, robotika a její aplikace

OECD FORD obor

—

Projekt

<a href="/cs/project/GAP105%2F12%2F1146" target="_blank" >GAP105/12/1146: Metody paralelizace inženýrských úloh využívající cenově dostupné technologie</a><br>

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2014

Kód důvěrnosti údajů

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