Two-Dimensional Minimax Latin Hypercube Designs
AbstractWe investigate minimax Latin hypercube designs in two dimensions for several distance measures.For the l-distance we are able to construct minimax Latin hypercube designs of n points, and to determine the minimal covering radius, for all n.For the l1-distance we have a lower bound for the covering radius, and a construction of minimax Latin hypercube designs for (infinitely) many values of n.We conjecture that the obtained lower bound is attained, except for a few small (known) values of n.For the l2-distance we have generated minimax solutions up to n = 27 by an exhaustive search method.The latter Latin hypercube designs will be included in the website www.spacefillingdesigns.nl.
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Bibliographic InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2005-105.
Date of creation: 2005
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Web page: http://center.uvt.nl
minimax; Latin hypercube designs; circle coverings;
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- C0 - Mathematical and Quantitative Methods - - General
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- NEP-ALL-2005-10-04 (All new papers)
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- Husslage, B.G.M. & Rennen, G. & Dam, E.R. van & Hertog, D. den, 2006. "Space-Filling Latin Hypercube Designs for Computer Experiments (Replaced by CentER DP 2008-104)," Discussion Paper 2006-18, Tilburg University, Center for Economic Research.
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