Formulation of the Optimal Latin Hypercube Design of Experiments Using a Permutation Genetic Algorithm

2004 ◽  
Author(s):  
Stuart Bates ◽  
Johann Sienz ◽  
Vassili Toropov
Keyword(s):  
Genetic Algorithm ◽  
Design Of Experiments ◽  
Latin Hypercube Design ◽  
Latin Hypercube ◽  
Optimal Latin Hypercube Design

scholarly journals A Novel Latin Hypercube Algorithm via Translational Propagation

2014 ◽  
Vol 2014 ◽  
pp. 1-15 ◽  
Author(s):  
Guang Pan ◽  
Pengcheng Ye ◽  
Peng Wang
Keyword(s):  
Computation Time ◽  
Latin Hypercube Design ◽  
Latin Hypercube ◽  
Space Filling ◽  
Enumeration Algorithm ◽  
Latin Hypercube Designs ◽  
Initial Block ◽  
Optimal Latin Hypercube Design ◽  
Computationally Expensive ◽  
Formal Optimization

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.

The Buckling Optimization on Composite Beam with Hat Stiffener

2014 ◽  
Vol 953-954 ◽  
pp. 1649-1652 ◽  
Author(s):  
Jia Bo Qiu ◽  
Xi Zhu
Keyword(s):  
Genetic Algorithm ◽  
Sensitivity Analysis ◽  
Optimization Model ◽  
Composite Beam ◽  
Mathematical Optimization ◽  
Latin Hypercube Design ◽  
Critical Buckling Load ◽  
Buckling Optimization ◽  
Optimal Latin Hypercube Design ◽  
Mathematical Optimization Model

The paper carried out the buckling optimization on composite beam with hat stiffener by taking ply angle as optimal variables and the critical buckling load (CBL) as the optimal objective. Firstly, the paper established the mathematical optimization model, and then carried out sensitivity analysis of ply angle through Optimal Latin Hypercube Design, finally optimized the design of the layer using Genetic Algorithm. The results show that the CBL of stiffened beam with the optimized ply angle is increased by 64% than that with initial ply angle; CBL can be increased by changing the ply angle, the sheet should adopt the 0° or 90° layer, while the surface and center of stiffener should adopt ±45° layer and the rest should be 0° or 90°.

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