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The Scientific World Journal
Volume 2014 (2014), Article ID 163949, 15 pages
http://dx.doi.org/10.1155/2014/163949
Research Article

A Novel Latin Hypercube Algorithm via Translational Propagation

School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, China

Received 14 May 2014; Revised 22 July 2014; Accepted 30 July 2014; Published 2 September 2014

Academic Editor: Ming-Huwi Horng

Copyright © 2014 Guang Pan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Metamodels have been widely used in engineering design to facilitate analysis and optimization of complex systems that involve computationally expensive simulation programs. The accuracy of metamodels is directly related to the experimental designs used. Optimal Latin hypercube designs are frequently used and have been shown to have good space-filling and projective properties. However, the high cost in constructing them limits their use. In this paper, a methodology for creating novel Latin hypercube designs via translational propagation and successive local enumeration algorithm (TPSLE) is developed without using formal optimization. TPSLE algorithm is based on the inspiration that a near optimal Latin Hypercube design can be constructed by a simple initial block with a few points generated by algorithm SLE as a building block. In fact, TPSLE algorithm offers a balanced trade-off between the efficiency and sampling performance. The proposed algorithm is compared to two existing algorithms and is found to be much more efficient in terms of the computation time and has acceptable space-filling and projective properties.