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 Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Normal-boundary intersection: A new method for generating the Pareto surface in nonlinear multicriteria optimization problems. Zbl 0911.90287Das, Indraneel; Dennis, J. E. 1998 all top 5 Cited by 485 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 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 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. ...and 385 more Authors all top 5 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. 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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 all top 5 Cited in 19 Fields 185 Operations research, mathematical programming (90-XX) 31 Numerical analysis (65-XX) 21 Computer science (68-XX) 14 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) Citations by Year