### Abstract

Original language | English |
---|---|

Place of Publication | Tilburg |

Publisher | Operations research |

Number of pages | 13 |

Volume | 2005-105 |

Publication status | Published - 2005 |

### Publication series

Name | CentER Discussion Paper |
---|---|

Volume | 2005-105 |

### Fingerprint

### Keywords

- minimax
- Latin hypercube designs
- circle coverings

### Cite this

*Two-Dimensional Minimax Latin Hypercube Designs*. (CentER Discussion Paper; Vol. 2005-105). Tilburg: Operations research.

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**Two-Dimensional Minimax Latin Hypercube Designs.** / van Dam, E.R.

Research output: Working paper › Discussion paper › Other research output

TY - UNPB

T1 - Two-Dimensional Minimax Latin Hypercube Designs

AU - van Dam, E.R.

N1 - Subsequently published in Discrete Applied Mathematics, 2008 Pagination: 13

PY - 2005

Y1 - 2005

N2 - We 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.

AB - We 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.

KW - minimax

KW - Latin hypercube designs

KW - circle coverings

M3 - Discussion paper

VL - 2005-105

T3 - CentER Discussion Paper

BT - Two-Dimensional Minimax Latin Hypercube Designs

PB - Operations research

CY - Tilburg

ER -