alanrvazquez / ip-algorithm-for-maximin-lhd

IP algorithm for constructing maximin distance Latin hypercube designs.

IP-Algorithm-for-Maximin-LHD

Python implementation of standard and modified IP algorithms for constructing maximin distance Latin hypercube designs. To construct the designs, the algorithms use good lattice points (Zhou and Xu, 2015) and the transformation of Williams (1949). For details, see Vazquez and Xu (2022).

References

Vazquez, A. R. and Xu, H. (2022). An integer programming algorithm for constructing maximin distance designs from good lattice point sets. Accepted for publication in Statistica Sinica.

Williams, E. J. (1949). Experimental designs balanced for the estimation of residual effects of treatments. Australian Journal of Scientific Research 2, 149–168.

Zhou, Y. and H. Xu (2015). Space-filling properties of good lattice point sets. Biometrika 102, 959–966.