NBI

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. (Source: http://plato.asu.edu)


References in zbMATH (referenced in 156 articles , 1 standard article )

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  1. Ghosh, Debdas: On identifying fuzzy knees in fuzzy multi-criteria optimization problems (2019)
  2. Lin, Wu; Lin, Qiuzhen; Zhu, Zexuan; Li, Jianqiang; Chen, Jianyong; Ming, Zhong: Evolutionary search with multiple utopian reference points in decomposition-based multiobjective optimization (2019)
  3. Mita, Kanako; Fukuda, Ellen H.; Yamashita, Nobuo: Nonmonotone line searches for unconstrained multiobjective optimization problems (2019)
  4. Morovati, Vahid; Pourkarimi, Latif: Extension of Zoutendijk method for solving constrained multiobjective optimization problems (2019)
  5. Thies, Christian; Kieckhäfer, Karsten; Spengler, Thomas S.; Sodhi, Manbir S.: Operations research for sustainability assessment of products: a review (2019)
  6. Thomann, Jana; Eichfelder, Gabriele: A trust-region algorithm for heterogeneous multiobjective optimization (2019)
  7. Akbari, Fereshteh; Ghaznavi, Mehrdad; Khorram, Esmaile: A revised Pascoletti-Serafini scalarization method for multiobjective optimization problems (2018)
  8. Artigues, Christian; Jozefowiez, Nicolas; Sarpong, Boadu M.: Column generation algorithms for bi-objective combinatorial optimization problems with a min-max objective (2018)
  9. Bento, G. C.; Cruz Neto, J. X.; López, G.; Soubeyran, Antoine; Souza, J. C. O.: The proximal point method for locally Lipschitz functions in multiobjective optimization with application to the compromise problem (2018)
  10. Custódio, A. L.; Madeira, J. F. A.: MultiGLODS: global and local multiobjective optimization using direct search (2018)
  11. Denysiuk, Roman; Silva, Cristiana J.; Torres, Delfim F. M.: Multiobjective optimization to a TB-HIV/AIDS coinfection optimal control problem (2018)
  12. Hosseininasab, Seyyed-Mohammadreza; Shetab-Boushehri, Seyyed-Nader; Hejazi, Seyed Reza; Karimi, Hadi: A multi-objective integrated model for selecting, scheduling, and budgeting road construction projects (2018)
  13. Kirlik, Gokhan; Sayın, Serpil: Bilevel programming for generating discrete representations in multiobjective optimization (2018)
  14. Liu, Chongyang; Gong, Zhaohua; Teo, Kok Lay; Loxton, Ryan; Feng, Enmin: Bi-objective dynamic optimization of a nonlinear time-delay system in microbial batch process (2018)
  15. Morovati, Vahid; Basirzadeh, Hadi; Pourkarimi, Latif: Quasi-Newton methods for multiobjective optimization problems (2018)
  16. Banasik, Aleksander; Kanellopoulos, Argyris; Claassen, G. D. H.; Bloemhof-Ruwaard, Jacqueline M.; van der Vorst, Jack G. A. J.: Assessing alternative production options for eco-efficient food supply chains using multi-objective optimization (2017)
  17. Burachik, R. S.; Kaya, C. Y.; Rizvi, M. M.: A new scalarization technique and new algorithms to generate Pareto fronts (2017)
  18. Cao, Yongtao; Smucker, Byran J.; Robinson, Timothy J.: A hybrid elitist Pareto-based coordinate exchange algorithm for constructing multi-criteria optimal experimental designs (2017)
  19. Lin, Kuan-Min; Ehrgott, Matthias; Raith, Andrea: Integrating column generation in a method to compute a discrete representation of the non-dominated set of multi-objective linear programmes (2017)
  20. Liu, Chongyang; Gong, Zhaohua; Teo, Kok Lay; Sun, Jie; Caccetta, Louis: Robust multi-objective optimal switching control arising in 1,3-propanediol microbial fed-batch process (2017)

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