Paper Info
Title
A multivariate normal boundary intersection PCA-based approach to reduce dimensionality in optimization problems for LBM process
Abstract
Laser beam machining (LBM) is a promising manufacturing process that exhibits several desirable quality characteristics. Given a large number of objective functions, the level of complexity increases in an optimization problem. Therefore, this study presents a multivariate application of the normal boundary intersection (NBI) method to reduce dimensionality in optimization problems of the LBM process. Such an approach is capable of exploring the entire solution space with only a small number of Pareto points, and generating equispaced frontiers based on the objective functions written in terms of principal component scores. Hence, a design of experiment with three input parameters and six quality characteristics was undertaken to appropriately model the process requirements applied to AISI 314S steel. The results indicate that the proposed methodology is capable of achieving optimal values for interest characteristics. In addition, this approach shows a reduction in computational effort of approximately 91.89% (from 259 to 21 subproblems) in obtaining the best solution for rough operation.
Year
DOI
Venue
2019
10.1007/s00366-018-0678-3
Engineering with Computers
Keywords
Field
DocType
Laser beam machining, Principal component analysis, Normal boundary intersection, Material removal rate, Roughness
Small number,Mathematical optimization,Multivariate statistics,Curse of dimensionality,Multivariate normal distribution,Optimization problem,Pareto principle,Mathematics,Principal component analysis,Design of experiments
Journal
Volume
Issue
ISSN
35.0
4
1435-5663
Citations 
PageRank 
References 
1
0.35
10
Authors
6
Name
Order
Citations
PageRank
Gabriela Belinato110.35
Fabrício Alves de Almeida220.72
Anderson Paulo de Paiva3357.58
J. H. F. Gomes481.56
Pedro Paulo Balestrassi5527.62
Pedro Alexandre Rodrigues Carvalho Rosa610.35