Discrete particle swarm optimization for constructing uniform design on irregular regions

作者：Chen Ray Bing; Hsu Yen Wen; Hung Ying; Wang Weichung^*

来源：Computational Statistics & Data Analysis, 2014, 72: 282-297.

DOI：10.1016/j.csda.2013.10.015

• Central composite discrepancy
• Graphic processing unit
• Parallel computing
• Non-collapsing

Central composite discrepancy (CCD) has been proposed to measure the uniformity of a design over irregular experimental region. However, how CCD-based optimal uniform designs can be efficiently computed remains a challenge. Focusing on this issues, we proposed a particle swarm optimization-based algorithm to efficiently find optimal uniform designs with respect to the CCD criterion. Parallel computation techniques based on state-of-the-art graphic processing unit (GPU) are employed to accelerate the computations. Several two- to five-dimensional benchmark problems are used to illustrate the advantages of the proposed algorithms. By solving a real application in data center thermal management, we further demonstrate that the proposed algorithm can be extended to incorporate desirable space-filling properties, such as the non-collapsing property.

• 出版日期2014-4
• 单位rutgers