论文:2019,Vol:37,Issue(4):714-723
引用本文:
叶鹏程, 潘光, 高山. 一种快速优化拉丁超立方试验设计方法[J]. 西北工业大学学报
YE Pengcheng, PAN Guang, GAO Shan. Sampling Design Method of Fast Optimal Latin Hypercube[J]. Northwestern polytechnical university

一种快速优化拉丁超立方试验设计方法
叶鹏程1,2, 潘光1,2, 高山1,2
1. 西北工业大学 航海学院, 陕西 西安 710072;
2. 西北工业大学 无人水下运载技术重点实验室, 陕西 西安 710072
摘要:
工程设计优化中,优化试验设计方法常常用于求解大型复杂系统问题。针对传统优化试验设计方法计算耗时长、效率低的问题,提出一种快速优化拉丁超立方试验设计方法:在拉丁超立方抽样框架下,采用基于最大最小距离准则连续局部枚举方法设计生成高性能小尺寸基础样本,然后利用平移传播算法通过"平移"基础样本快速获得大尺寸试验样本。结合提出的样本尺寸调整策略,使该方法可以快速得到空间填充性能和映射性能良好的任意尺寸试验样本。测试结果表明快速优化拉丁超立方试验设计方法能够兼顾设计效率和样本性能,优于已有典型试验设计方法。
关键词:    试验设计    优化试验设计方法    拉丁超立方设计    平移传播算法   
Sampling Design Method of Fast Optimal Latin Hypercube
YE Pengcheng1,2, PAN Guang1,2, GAO Shan1,2
1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China;
2. Key Laboratory for Unmanned Underwater Vehicle, Northwestern Polytechnical University, Xi'an 710072, China
Abstract:
In engineering design optimization, the optimal sampling design method is usually used to solve large-scale and complex system problems. A sampling design (FOLHD) method of fast optimal Latin hypercube is proposed in order to overcome the time-consuming and poor efficiency of the traditional optimal sampling design methods. FOLHD algorithm is based on the inspiration that a near optimal large-scale Latin hypercube design can be established by a small-scale initial sample generated by using Successive Local Enumeration method and Translational Propagation algorithm. Moreover, a sampling resizing strategy is presented to generate samples with arbitrary size and owing good space-filling and projective properties. Comparing with the several existing sampling design methods, FOLHD is much more efficient in terms of the computation efficiency and sampling properties.
Key words:    design of experiments    optimal sampling design method    latin hypercube design    translational propagation algorithm   
收稿日期: 2018-09-12     修回日期:
DOI: 10.1051/jnwpu/20193740714
基金项目: 国家重点研发计划(2016YFC0301300)与国家自然科学基金(61803306,11502210,51709229)资助
通讯作者:     Email:
作者简介: 叶鹏程(1991-),西北工业大学助理研究员、博士,主要从事近似高维优化方法和水下航行器设计等研究。
相关功能
PDF(1846KB) Free
打印本文
把本文推荐给朋友
作者相关文章
叶鹏程  在本刊中的所有文章
潘光  在本刊中的所有文章
高山  在本刊中的所有文章

参考文献:
[1] YE Pengcheng, PAN Guang, DONG Zuomin. Ensemble of Surrogate Based Global Optimization Methods Using Hierarchical Design Space Reduction[J]. Structural and Multidisciplinary Optimization, 2018, 58(2):537-554
[2] LIU Haitao, ONG Yewsoon, CAI Jianfei. A Survey of Adaptive Sampling for Global Metamodeling in Support of Simulation-Based Complex Engineering Design[J]. Structural and Multidisciplinary Optimization, 2017, 57(1):393-416
[3] LIU Haitao, XU Shengli, WANG Xiaofang. Sequential Sampling Designs Based on Space Reduction[J]. Engineering Optimization, 2015, 47(7):867-884
[4] DONG Huachao, SONG Baowei, DONG Zuomin, et al. Multi-Start Space Reduction(MSSR) Surrogate-Based Global Optimization Method[J]. Structural and Multidisciplinary Optimization, 2016, 54(4):907-926
[5] 刘新亮, 郭波. 基于改进ESE算法的多目标优化试验设计方法[J]. 系统工程与电子技术, 2010, 32(2):410-414 LIU Xinliang, GUO Bo. Multi-Objective Experimentation Design Optimization Based on Modified ESE Algorithms[J]. Systems Engineering and Electronics, 2010, 32(2):410-414(in Chinese)
[6] 刘晓路, 陈英武, 荆显荣,等. 优化拉丁方试验设计方法及其应用[J]. 国防科技大学学报, 2011, 33(5):73-77 LIU Xiaolu, CHEN Yingwu, JING Xianrong, et al. Optimized Latin Hypercube Sampling Method and Its Application[J]. Journal of National University of Defense Technology, 2011, 33(5):73-77(in Chinese)
[7] ZHU Huaguang, LIU Li, LONG Teng, et al. A Novel Algorithm of Maximin Latin Hypercube Design Using Successive Local Enumeration[J]. Engineering Optimization, 2012, 44(5):551-564
[8] YE Kenny, LI William, SUDJIANTO Agus. Algorithmic Construction of Optimal Symmetric Latin Hypercube Designs[J]. Journal of Statistical Planning and Inference, 2000, 90(1):145-159
[9] VIANA Felipe, Venter Gerhard, BALABANOV Vladimir. An Algorithm for Fast Optimal Latin Hypercube Design of Experiments[J]. International Journal for Numerical Methods in Engineering, 2010, 82(2):135-156