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: MOEA/D; SPEA2; HypE; SMS-EMOA; ASMO; PlatEMO; Matlab; Genocop; minpack; ALGENCAN; weightedHypervolume; L-BFGS; Ipopt; Omni-optimizer; ParEGO; PAINT; DFMO; jMetal; MOMBI; MOPSO Cited in: 211 Publications
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Cited by 483 Authors

 6 Ehrgott, Matthias 6 Eichfelder, Gabriele 5 Messac, Achille 5 Prudente, Leandro F. 4 Deb, Kalyanmoy 4 Klamroth, Kathrin 4 Schütze, Oliver 4 Shao, Lizhen 4 Wiecek, Margaret M. 3 Coello Coello, Carlos A. 3 Fliege, Jörg 3 Ghosh, Debdas 3 Gonçalves, Max L. N. 3 Gong, Zhaohua 3 Kaya, C. Yalçin 3 Khorram, Esmaile 3 Liu, Chongyang 3 Liu, Xin 3 Logist, Filip 3 Lovison, Alberto 3 Mattson, Christopher A. 3 Reynolds, Albert C. jun. 3 Teo, Kok Lay 3 Vladimirsky, Alexander 2 Akbari, Fereshteh 2 Arora, Jasbir S. 2 Audet, Charles 2 Burachik, Regina Sandra 2 Camponogara, Eduardo 2 Cao, Yongtao 2 Chakraborty, Debjani 2 Chen, Minrong 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 Hamacher, Horst W. 2 Jermann, Christophe 2 Jin, Yaochu 2 Jornada, Daniel 2 Khaledian, Kazhal 2 Leon, V. Jorge 2 Li, Jie 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 Pecci, Filippo 2 Pourkarimi, Latif 2 Recchioni, Maria Cristina 2 Rizvi, M. M. 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, Rui 2 Wang, Xianpeng 2 Xie, Yimin 2 Yang, Shengxiang 1 Abounacer, Rachida 1 Aguilar Madeira, José Firmino 1 Aliano Filho, Angelo 1 Altinoz, O. Tolga 1 Alvarado, Sergio 1 Alvarez-Gallegos, Jaime 1 Armeni, Saverio 1 Artigues, Christian 1 Assunção, P. B. 1 Auger, Anne 1 Azarm, Shapour 1 Bader, Johannes 1 Bai, Wen 1 Banasik, Aleksander 1 Banga, Julio R. 1 Bao, Chunteng 1 Bardow, André 1 Basirzadeh, Hadi 1 Belfares, Lamia 1 Ben Abdelaziz, Fouad 1 Bento, Glaydston C. 1 Bigeon, Jean 1 Bilge, Ümit 1 Blasco, Francesc X. 1 Bloemhof-Ruwaard, Jacqueline M. ...and 383 more Authors
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Cited in 70 Serials

 23 Information Sciences 23 European Journal of Operational Research 13 Optimization and Engineering 13 Structural and Multidisciplinary Optimization 9 Computers & Operations Research 7 Journal of Global Optimization 7 SIAM Journal on Optimization 6 International Journal for Numerical Methods in Engineering 6 Annals of Operations Research 5 Journal of Optimization Theory and Applications 5 Computational Optimization and Applications 4 Mathematical Methods of Operations Research 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 Computational Geosciences 3 4OR 2 Computer Methods in Applied Mechanics and Engineering 2 Operations Research 2 Operations Research Letters 2 Computational and Applied Mathematics 2 INFORMS Journal on Computing 2 Optimization Methods & Software 1 Artificial Intelligence 1 Computers and Fluids 1 Journal of the Franklin Institute 1 Applied Mathematics and Computation 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 Journal of Computational Mathematics 1 Optimization 1 International Journal of Adaptive Control and Signal Processing 1 Numerical Algorithms 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 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 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 Dynamic Games and Applications 1 Statistics and Computing 1 S$$\vec{\text{e}}$$MA Journal 1 EURO Journal on Computational Optimization 1 AIMS Mathematics
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Cited in 19 Fields

 184 Operations research, mathematical programming (90-XX) 31 Numerical analysis (65-XX) 21 Computer science (68-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 14 Mechanics of deformable solids (74-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Systems theory; control (93-XX) 6 Mechanics of particles and systems (70-XX) 6 Biology and other natural sciences (92-XX) 5 Fluid mechanics (76-XX) 4 Geophysics (86-XX) 4 Information and communication theory, circuits (94-XX) 3 Partial differential equations (35-XX) 3 Statistics (62-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 1 Ordinary differential equations (34-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX)