×

NBI

swMATH ID: 5075
Software Authors: Das, Indraneel; Dennis, J.E.
Description: Normal-boundary intersection: A new method for generating the Pareto surface in nonlinear multicriteria optimization problems This paper proposes an alternate method for finding several Pareto optimal points for a general nonlinear multicriteria optimization problem. Such points collectively capture the trade-off among the various conflicting objectives. It is proved that this method is independent of the relative scales of the functions and is successful in producing an evenly distributed set of points in the Pareto set given an evenly distributed set of parameters, a property which the popular method of minimizing weighted combinations of objective functions lacks. Further, this method can handle more than two objectives while retaining the computational efficiency of continuation-type algorithms. This is an improvement over continuation techniques for tracing the trade-off curve since continuation strategies cannot easily be extended to handle more than two objectives.
Homepage: http://softlib.rice.edu/nbilicreg.html
Programming Languages: Matlab
Dependencies: Matlab
Keywords: Pareto set; multicriteria optimization; multiobjective optimization; trade-off curve
Related Software: NSGA-II; MOEA/D; SPEA2; HypE; SMS-EMOA; ASMO; PlatEMO; Matlab; minpack; Genocop; ALGENCAN; DFMO; ParEGO; Ipopt; weightedHypervolume; L-BFGS; MOMBI; OLAF; Omni-optimizer; PAINT
Cited in: 246 Documents
all top 5

Cited by 558 Authors

7 Ehrgott, Matthias
7 Eichfelder, Gabriele
7 Ghosh, Debdas
5 Klamroth, Kathrin
5 Messac, Achille
5 Prudente, Leandro F.
4 Deb, Kalyanmoy
4 Jauny
4 Kaya, C. Yalçin
4 Khorram, Esmaile
4 Schütze, Oliver
4 Shao, Lizhen
4 Upadhayay, Ashutosh
4 Wiecek, Margaret M.
3 Burachik, Regina Sandra
3 Coello Coello, Carlos A.
3 Custódio, Ana Luísa
3 Fliege, Jörg
3 Gonçalves, Max L. N.
3 Gong, Zhaohua
3 Liu, Chongyang
3 Liu, Xin
3 Logist, Filip
3 Lovison, Alberto
3 Mattson, Christopher A.
3 Reynolds, Albert C. jun.
3 Rizvi, Mohammed Mustafa
3 Teo, Kok Lay
3 Vladimirsky, Alexander
2 Akbari, Fereshteh
2 Ansari, Qamrul Hasan
2 Arora, Jasbir S.
2 Audet, Charles
2 Camponogara, Eduardo
2 Cao, Yongtao
2 Chakraborty, Debjani
2 Chen, Minrong
2 de Moraes, Matheus Bernardelli
2 Dellnitz, Michael
2 Dinh The Luc
2 Dong, Zhiming
2 Du, Wei
2 Feng, Enmin
2 García-Alonso, Carlos R.
2 Ghaznavi, Mehrdad
2 Goldsztejn, Alexandre
2 Gottschalk, Hanno
2 Granvilliers, Laurent
2 Guenov, Marin D.
2 Güler, Çiğdem
2 Hajarian, Masoud
2 Hamacher, Horst W.
2 Heldmann, Fabian
2 Jermann, Christophe
2 Jin, Yaochu
2 Jornada, Daniel
2 Khaledian, Kazhal
2 Leon, V. Jorge
2 Lima, F. S.
2 Marler, R. Timothy
2 Martin, Benjamin T.
2 Miettinen, Kaisa M.
2 Ming, Mengjun
2 Mohammadi, Bijan
2 Morovati, Vahid
2 Najafi, Shahabeddin
2 Palermo Coelho, Guilherme
2 Pecci, Filippo
2 Pourkarimi, Latif
2 Recchioni, Maria Cristina
2 Robinson, Timothy J.
2 Smucker, Byran J.
2 Steven, Grant P.
2 Stiglmayr, Michael
2 Stoianov, Ivan
2 Sun, Jianqiao
2 Suresh, Krishnan
2 Talukdar, Sarosh N.
2 Wang, Honggang
2 Wang, Lei
2 Wang, Rui
2 Wang, Xianpeng
2 Wu, Qidi
2 Xie, Yimin
2 Yang, Shengxiang
2 Zhang, Tao
1 Abounacer, Rachida
1 Aguilar Madeira, José Firmino
1 Aliano Filho, Angelo
1 Altinoz, O. Tolga
1 Alvarado, Sergio
1 Alvarez-Gallegos, Jaime
1 Andreani, Roberto
1 Armeni, Saverio
1 Artigues, Christian
1 Assunção, P. B.
1 Auger, Anne
1 Azarm, Shapour
1 Bader, Johannes
1 Bai, Wen
...and 458 more Authors
all top 5

Cited in 81 Serials

29 Information Sciences
26 European Journal of Operational Research
14 Optimization and Engineering
13 Structural and Multidisciplinary Optimization
10 Computers & Operations Research
10 Computational Optimization and Applications
7 Journal of Optimization Theory and Applications
7 Journal of Global Optimization
7 SIAM Journal on Optimization
6 International Journal for Numerical Methods in Engineering
6 Annals of Operations Research
4 Mathematical Methods of Operations Research
4 Computational Geosciences
4 Engineering Optimization
3 Computers & Mathematics with Applications
3 Journal of Computational and Applied Mathematics
3 Applied Mathematical Modelling
3 Mathematical Programming. Series A. Series B
3 Mathematical Problems in Engineering
3 Optimization Methods & Software
3 4OR
2 Computer Methods in Applied Mechanics and Engineering
2 Applied Mathematics and Computation
2 Operations Research
2 Operations Research Letters
2 Journal of Computational Mathematics
2 Computational and Applied Mathematics
2 INFORMS Journal on Computing
1 Artificial Intelligence
1 Computers and Fluids
1 Journal of Computational Physics
1 Journal of the Franklin Institute
1 Chaos, Solitons and Fractals
1 Computing
1 Fuzzy Sets and Systems
1 International Journal of Circuit Theory and Applications
1 Journal of Mathematical Psychology
1 Journal of Statistical Planning and Inference
1 Mathematics and Computers in Simulation
1 Mathematics of Operations Research
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Opsearch
1 SIAM Journal on Control and Optimization
1 Theoretical Computer Science
1 Optimization
1 Neural Networks
1 Machine Learning
1 International Journal of Adaptive Control and Signal Processing
1 Numerical Algorithms
1 Computational Mathematics and Mathematical Physics
1 SIAM Journal on Applied Mathematics
1 Celestial Mechanics and Dynamical Astronomy
1 International Journal of Robust and Nonlinear Control
1 SIAM Journal on Scientific Computing
1 Top
1 Complexity
1 Revista Investigación Operacional
1 International Transactions in Operational Research
1 Science in China. Series E
1 Mechanism and Machine Theory
1 Mathematical and Computer Modelling of Dynamical Systems
1 International Journal of Applied Mathematics and Computer Science
1 Engineering Computations
1 RAIRO. Operations Research
1 OR Spectrum
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Natural Computing
1 Mathematical Biosciences and Engineering
1 GAMM-Mitteilungen
1 Studies in Fuzziness and Soft Computing
1 Optimization Letters
1 Nonlinear Analysis. Hybrid Systems
1 Mathematical Geosciences
1 Advances and Applications in Discrete Mathematics
1 Dynamic Games and Applications
1 Statistics and Computing
1 S\(\vec{\text{e}}\)MA Journal
1 EURO Journal on Computational Optimization
1 AIMS Mathematics
1 Journal of Nonlinear and Variational Analysis
1 Vector Optimization

Citations by Year