On multiple-objective optimal designs

On multiple-objective optimal designs
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DOI:
10.1016/j.jspi.2018.09.007
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发表时间:
2019-05-01
影响因子:
0.9
通讯作者:
Yang, Min
Yang, Min
中科院分区:
数学3区
文献类型:
--
作者:
Cheng, Qianshun;Yang, Min

文献摘要

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多目标实验构成了现代科学研究的主食。推导多目标优化设计是一个长期存在的挑战性问题,可用的工具很少。现有的几种方法不能提供一个满意的解决方案一般:要么计算是非常昂贵的或满意的解决方案是不能保证的。提出了一种新的算法来解决这个文献空白。我们证明了该算法的收敛性,并在各种例子中表明,新算法可以获得真正的解决方案,以高的速度。(C)2018爱思唯尔B.V.保留所有权利。
Experiments with multiple objectives form a staple diet of modern scientific research. Deriving optimal designs with multiple objectives is a long-standing challenging problem with few tools available. The few existing approaches cannot provide a satisfied solution in general: either the computation is very expensive or a satisfied solution is not guaranteed. A novel algorithm is proposed to address this literature gap. We prove convergence of this algorithm, and show in various examples that the new algorithm can derive the true solutions with high speed. (C) 2018 Elsevier B.V. All rights reserved.