Global Optimization Method with Enhanced Adaptive Response Surface Method for Computation-Intensive Design Problems

2012 ◽  
Vol 5 (2) ◽  
pp. 881-887 ◽  
Author(s):  
Teng Long ◽  
Li Liu ◽  
Lei Peng
Keyword(s):  
Global Optimization ◽  
Response Surface ◽  
Response Surface Method ◽  
Adaptive Response ◽  
Optimization Method ◽  
Global Optimization Method ◽  
Design Problems ◽  
Surface Method ◽  
Adaptive Response Surface Method

scholarly journals Adaptive Response Surface Method Using Inherited Latin Hypercube Design Points

2003 ◽  
Vol 125 (2) ◽  
pp. 210-220 ◽  
Author(s):  
G. Gary Wang
Keyword(s):  
Response Surface ◽  
Response Surface Method ◽  
Adaptive Response ◽  
High Dimensional ◽  
Latin Hypercube Design ◽  
Latin Hypercube ◽  
Design Problems ◽  
Surface Method ◽  
Adaptive Response Surface Method ◽  
Design Experiments

This paper addresses the difficulty of the previously developed Adaptive Response Surface Method (ARSM) for high-dimensional design problems. ARSM was developed to search for the global design optimum for computation-intensive design problems. This method utilizes Central Composite Design (CCD), which results in an exponentially increasing number of required design experiments. In addition, ARSM generates a complete new set of CCD points in a gradually reduced design space. These two factors greatly undermine the efficiency of ARSM. In this work, Latin Hypercube Design (LHD) is utilized to generate saturated design experiments. Because of the use of LHD, historical design experiments can be inherited in later iterations. As a result, ARSM only requires a limited number of design experiments even for high-dimensional design problems. The improved ARSM is tested using a group of standard test problems and then applied to an engineering design problem. In both testing and design application, significant improvement in the efficiency of ARSM is realized. The improved ARSM demonstrates strong potential to be a practical global optimization tool for computation-intensive design problems. Inheriting LHD points, as a general sampling strategy, can be integrated into other approximation-based design optimization methodologies.

Improvement on the Adaptive Response Surface Method for High-Dimensional Computation-Intensive Design Problems

2001 ◽  
Author(s):  
G. Gary Wang
Keyword(s):  
Response Surface ◽  
Response Surface Method ◽  
Adaptive Response ◽  
High Dimensional ◽  
Latin Hypercube ◽  
Design Problems ◽  
Latin Hypercube Designs ◽  
Surface Method ◽  
Adaptive Response Surface Method ◽  
Design Experiments

Abstract This paper addresses the difficulty of the previously developed Adaptive Response Surface Method (ARSM) for high-dimensional design problems. The ARSM was developed to search for the global design optimum for computation-intensive design problems. This method utilized the Central Composite Designs (CCD), which resulted in an exponentially increasing number of required design experiments. In addition, the ARSM generates a complete new set of CCDs in a gradually reduced design space. These two factors greatly undermine the efficiency of the ARSM. In this work, the Latin Hypercube Designs (LHD) were utilized to generate saturated design experiments. Because of the use of Latin Hypercube Designs, the historical design experiments can be inherited in later iterations. The improved ARSM has been tested using a group of standard testing problems and then applied to an engineering design. In both testing and design application, significant efficiency improvement of the ARSM was observed. The ARSM at the current stage demonstrated strong potential to be an efficient global optimization tool for computation-intensive design problems.

scholarly journals Pareto Set Computation in Convex Multi-objective Design using Adaptive Response Surface Method (ARSM)

2016 ◽  
Vol 42 ◽  
pp. 05003
Author(s):  
Miguel A. Panesso ◽  
Camilo J. Cruz ◽  
Juan C. Bohorquez ◽  
Luis E. Muñóz ◽  
Néstor M. Peña ◽  
...  
Keyword(s):  
Response Surface ◽  
Response Surface Method ◽  
Adaptive Response ◽  
Pareto Set ◽  
Multi Objective ◽  
Surface Method ◽  
Adaptive Response Surface Method

Gradient-Free Trust-Region-Based Adaptive Response Surface Method for Expensive Aircraft Optimization

AIAA Journal ◽  
2018 ◽  
Vol 56 (2) ◽  
pp. 862-873 ◽  
Author(s):  
Teng Long ◽  
Xin Li ◽  
Renhe Shi ◽  
Jian Liu ◽  
Xiaosong Guo ◽  
...  
Keyword(s):  
Response Surface ◽  
Response Surface Method ◽  
Adaptive Response ◽  
Trust Region ◽  
Surface Method ◽  
Adaptive Response Surface Method
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