Startseite Wirtschaftswissenschaften Developing a Flexible Methodology for Modeling and Solving Multiple Response Optimization Problems
Artikel
Lizenziert
Nicht lizenziert Erfordert eine Authentifizierung

Developing a Flexible Methodology for Modeling and Solving Multiple Response Optimization Problems

  • Taha-Hossein Hejazi ORCID logo EMAIL logo und Maryam Moradpour
Veröffentlicht/Copyright: 16. Juli 2019
Veröffentlichen auch Sie bei De Gruyter Brill

Abstract

Simultaneous optimization of multiple quality characteristics (responses) of a product or process is required in many real-world problems. Multiresponse optimization (MRO) techniques tries to solve such problems; the ultimate objective of which is to adjust control factors that provides most desired values for the responses. Regression techniques are most commonly used methods to identify and estimate relationships between control variables and responses. Due to the industrial advances and hence the complexity of processes and systems, many relationships between input variables and quality characteristics have become much more complex. In such circumstances, classic regression techniques encounter difficulties to create a well-fitted model which can be easily optimized. The alternative approach proposed in this study is a regression tree method called CART, which is a data mining method. Since the output of CART consists of several if-then terms, NSGA-II algorithm was considered to solve the model and achieve the optimal solutions. Finally, we evaluate performance of the proposed method with a real data set about modeling and improvement of automotive engines.

MSC 2010: 90B50; 90C90; 62-07

Award Identifier / Grant number: 15/96595

Funding statement: This work was supported by the Iran’s National Elites Foundation [15/96595].

References

[1] G. E. P. Box and K. B. Wilson, On the experimental attainment of optimum conditions, J. Roy. Statist. Soc. Ser. B. 13 (1951), 1–38; discussion: 38–45. 10.1007/978-1-4612-4380-9_23Suche in Google Scholar

[2] L. Breiman, J. H. Friedman, R. A. Olshen and C. J. Stone, Classification and Regression Trees, Wadsworth Statis. Probab. Ser., Wadsworth Advanced Books and Software, Belmont, 1984. Suche in Google Scholar

[3] C.-B. Cheng, C.-J. Cheng and E. S. Lee, Neuro-fuzzy and genetic algorithm in multiple response optimization, Comput. Math. Appl. 44 (2002), no. 12, 1503–1514. 10.1016/S0898-1221(02)00274-2Suche in Google Scholar

[4] K. Deb, A. Pratap, S. Agarwal and T. Meyarivan, A fast and elitist multiobjective genetic algorithm: NSGA-II, IEEE Trans. Evol. Comput. 6 (2002), no. 2, 182–197. 10.1109/4235.996017Suche in Google Scholar

[5] T-H. Hejazi, M. Seyyed-Esfahani and M. Mahootchi, Optimization of degree of conformance in multiresponse-multistage systems with a simulation-based metaheuristic, Qual. Reliab. Eng. Int. 31 (2015), no. 4, 645–658. 10.1002/qre.1622Suche in Google Scholar

[6] S. H. R. Pasandideh, S. T. A. Niaki and S. M. Atyabi, A new approach to solve multi-response statistical optimization problems using neural network, genetic algorithm, and goal attainment methods, Int. J. Adv. Manufactur. Technol. 75 (2014), no. 5, 1149–1162. 10.1007/s00170-014-6206-8Suche in Google Scholar

[7] C. Senthilkumar, G. Ganesan and R. Karthikeyan, Optimization of ECM process parameters using NSGA-II, J. Miner. Mat. Character. Eng. 11 (2012), no. 10, 931–937. 10.4236/jmmce.2012.1110091Suche in Google Scholar

[8] T. V. Šibalija and V. D. Majstorović, Advanced Multiresponse Process Optimisation, Springer, Nwe York, 2016. 10.1007/978-3-319-19255-0Suche in Google Scholar

Received: 2018-08-31
Revised: 2019-05-25
Accepted: 2019-05-25
Published Online: 2019-07-16
Published in Print: 2019-12-01

© 2019 Walter de Gruyter GmbH, Berlin/Boston

Heruntergeladen am 6.2.2026 von https://www.degruyterbrill.com/document/doi/10.1515/eqc-2018-0024/html?lang=de
Button zum nach oben scrollen