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 208 articles , 1 standard article )

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  1. Liu, Haitao; Du, Wei; Guo, Zhaoxia: A multi-population evolutionary algorithm with single-objective guide for many-objective optimization (2019)
  2. Liu, Yongqi; Qin, Hui; Zhang, Zhendong; Yao, Liqiang; Wang, Chao; Mo, Li; Ouyang, Shuo; Li, Jie: A region search evolutionary algorithm for many-objective 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. Pantoja-García, Jesús S.; Villarreal-Cervantes, Miguel G.; García-Mendoza, Consuelo V.; Silva-García, Víctor M.: Synergistic design of the bipedal lower-limb through multiobjective differential evolution algorithm (2019)
  6. Thies, Christian; Kieckhäfer, Karsten; Spengler, Thomas S.; Sodhi, Manbir S.: Operations research for sustainability assessment of products: a review (2019)
  7. Thomann, Jana; Eichfelder, Gabriele: A trust-region algorithm for heterogeneous multiobjective optimization (2019)
  8. Zhou, Yuren; He, Xiaoyu; Xiang, Yi; Cai, Shaowei: A set of new multi- and many-objective test problems for continuous optimization and a comprehensive experimental evaluation (2019)
  9. Zou, Juan; Fu, Liuwei; Yang, Shengxiang; Zheng, Jinhua; Ruan, Gan; Pei, Tingrui; Wang, Lei: An adaptation reference-point-based multiobjective evolutionary algorithm (2019)
  10. Akbari, Fereshteh; Ghaznavi, Mehrdad; Khorram, Esmaile: A revised Pascoletti-Serafini scalarization method for multiobjective optimization problems (2018)
  11. Altinoz, O. Tolga; Deb, Kalyanmoy; Yilmaz, A. Egemen: Evaluation of the migrated solutions for distributing reference point-based multi-objective optimization algorithms (2018)
  12. Artigues, Christian; Jozefowiez, Nicolas; Sarpong, Boadu M.: Column generation algorithms for bi-objective combinatorial optimization problems with a min-max objective (2018)
  13. 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)
  14. Custódio, A. L.; Madeira, J. F. A.: MultiGLODS: global and local multiobjective optimization using direct search (2018)
  15. Denysiuk, Roman; Silva, Cristiana J.; Torres, Delfim F. M.: Multiobjective optimization to a TB-HIV/AIDS coinfection optimal control problem (2018)
  16. 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)
  17. Kirlik, Gokhan; Sayın, Serpil: Bilevel programming for generating discrete representations in multiobjective optimization (2018)
  18. 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)
  19. Luo, Jungang; Sun, Xiaomei; Qi, Yutao; Xie, Jiancang: Approximating the irregularly shaped Pareto front of multi-objective reservoir flood control operation problem (2018)
  20. Morovati, Vahid; Basirzadeh, Hadi; Pourkarimi, Latif: Quasi-Newton methods for multiobjective optimization problems (2018)

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