Normal Constraint Method with Guarantee of Even Representation of Complete Pareto Frontier

Achille Messac; Christopher A. Mattson

doi:10.2514/1.8977

Normal Constraint Method with Guarantee of Even Representation of Complete Pareto Frontier

AIAA Journal ◽

10.2514/1.8977 ◽

2004 ◽

Vol 42 (10) ◽

pp. 2101-2111 ◽

Cited By ~ 162

Author(s):

Achille Messac ◽

Christopher A. Mattson

Keyword(s):

Pareto Frontier ◽

Normal Constraint Method ◽

Constraint Method ◽

Normal Constraint

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The normalized normal constraint method for generating the Pareto frontier

Structural and Multidisciplinary Optimization ◽

10.1007/s00158-002-0276-1 ◽

2003 ◽

Vol 25 (2) ◽

pp. 86-98 ◽

Cited By ~ 454

Author(s):

A. Messac ◽

A. Ismail-Yahaya ◽

C.A. Mattson

Keyword(s):

Pareto Frontier ◽

Normal Constraint Method ◽

Constraint Method ◽

Normalized Normal Constraint ◽

Normal Constraint

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Pareto Frontier Construction. A GA vs Gauss-Newton Optimization for Normalized Normal Constraint Method

2006 International Conference on Intelligent Engineering Systems ◽

10.1109/ines.2006.1689366 ◽

2006 ◽

Author(s):

M. Martinez ◽

S. Garcia-Nieto ◽

J. Sanchis ◽

X. Blasco

Keyword(s):

Pareto Frontier ◽

Normal Constraint Method ◽

Constraint Method ◽

Normalized Normal Constraint ◽

Normal Constraint

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Effective generation of the Pareto frontier using the Normal Constraint method

10.2514/6.2002-178 ◽

2002 ◽

Cited By ~ 11

Author(s):

A. Ismail-Yahaya ◽

A. Messac

Keyword(s):

Pareto Frontier ◽

Effective Generation ◽

Normal Constraint Method ◽

Constraint Method ◽

Normal Constraint

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Normal Constraint Method with Guarantee of Even Representation of Complete Pareto Frontier

45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference ◽

10.2514/6.2004-1679 ◽

2004 ◽

Cited By ~ 7

Author(s):

Achille Messac ◽

Christopher Mattson

Keyword(s):

Pareto Frontier ◽

Normal Constraint Method ◽

Constraint Method ◽

Normal Constraint

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Effective Generation of the Pareto Frontier: The Normalized Normal Constraint Method

43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference ◽

10.2514/6.2002-1232 ◽

2002 ◽

Cited By ~ 7

Author(s):

Amir Ismail-Yahaya ◽

Achille Messac

Keyword(s):

Pareto Frontier ◽

Effective Generation ◽

Normal Constraint Method ◽

Constraint Method ◽

Normalized Normal Constraint ◽

Normal Constraint

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Improved normalised normal constraint method to solve multi-objective optimal power flow problem

IET Generation Transmission & Distribution ◽

10.1049/iet-gtd.2017.0289 ◽

2018 ◽

Vol 12 (4) ◽

pp. 859-872 ◽

Cited By ~ 11

Author(s):

Shima Rahmani ◽

Nima Amjady

Keyword(s):

Power Flow ◽

Optimal Power Flow ◽

Flow Problem ◽

Multi Objective ◽

Optimal Power ◽

Normal Constraint Method ◽

Constraint Method ◽

Normal Constraint ◽

Power Flow Problem

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The smart normal constraint method for directly generating a smart Pareto set

Structural and Multidisciplinary Optimization ◽

10.1007/s00158-013-0925-6 ◽

2013 ◽

Vol 48 (4) ◽

pp. 763-775 ◽

Cited By ~ 22

Author(s):

B. J. Hancock ◽

C. A. Mattson

Keyword(s):

Pareto Set ◽

Normal Constraint Method ◽

Constraint Method ◽

Normal Constraint

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Multi-Objective Optimisation of an Active Distribution System using Normalised Normal Constraint Method

2019 IEEE Milan PowerTech ◽

10.1109/ptc.2019.8810778 ◽

2019 ◽

Cited By ~ 1

Author(s):

M. Saffari ◽

M. Saeed Misaghian ◽

D. Flynn ◽

M. Kia ◽

V. Vahidinasab ◽

...

Keyword(s):

Distribution System ◽

Multi Objective ◽

Active Distribution System ◽

Normal Constraint Method ◽

Constraint Method ◽

Normal Constraint

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Multi-objective robust optimization of the sustainable helical milling process of the aluminum alloy Al 7075 using the augmented-enhanced normalized normal constraint method

Journal of Cleaner Production ◽

10.1016/j.jclepro.2017.03.121 ◽

2017 ◽

Vol 152 ◽

pp. 474-496 ◽

Cited By ~ 9

Author(s):

Robson Bruno Dutra Pereira ◽

Rodrigo Reis Leite ◽

Aline Cunha Alvim ◽

Anderson Paulo de Paiva ◽

João Roberto Ferreira ◽

...

Keyword(s):

Aluminum Alloy ◽

Robust Optimization ◽

Milling Process ◽

Helical Milling ◽

Multi Objective ◽

Al 7075 ◽

Normal Constraint Method ◽

Constraint Method ◽

Normalized Normal Constraint ◽

Normal Constraint

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Stochastic multiobjective generation maintenance scheduling using augmented normalized normal constraint method and stochastic decision maker

International Transactions on Electrical Energy Systems ◽

10.1002/etep.2722 ◽

2018 ◽

Vol 29 (2) ◽

pp. e2722

Author(s):

Bahareh Bagheri ◽

Nima Amjady

Keyword(s):

Decision Maker ◽

Maintenance Scheduling ◽

Normal Constraint Method ◽

Constraint Method ◽

Normalized Normal Constraint ◽

Normal Constraint

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