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)

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  1. Martin, Benjamin; Goldsztejn, Alexandre; Granvilliers, Laurent; Jermann, Christophe: On continuation methods for non-linear bi-objective optimization: towards a certified interval-based approach (2016)
  2. Schütze, Oliver; Martín, Adanay; Lara, Adriana; Alvarado, Sergio; Salinas, Eduardo; Coello Coello, Carlos A.: The directed search method for multi-objective memetic algorithms (2016)
  3. Cao, Yongtao; Smucker, Byran J.; Robinson, Timothy J.: On using the hypervolume indicator to compare Pareto fronts: applications to multi-criteria optimal experimental design (2015)
  4. Gallard, François; Mohammadi, Bijan; Montagnac, Marc; Meaux, Matthieu: An adaptive multipoint formulation for robust parametric optimization (2015)
  5. Ghosh, Debdas; Chakraborty, Debjani: A direction based classical method to obtain complete Pareto set of multi-criteria optimization problems (2015)
  6. Hartikainen, Markus E.; Lovison, Alberto: PAINT-SICon: constructing consistent parametric representations of Pareto sets in nonconvex multiobjective optimization (2015)
  7. Khaledian, Kazhal; Soleimani-damaneh, Majid: A new approach to approximate the bounded Pareto front (2015)
  8. Salazar, F.J.T.; Macau, E.E.N.; Winter, O.C.: Pareto frontier for the time-energy cost vector to an Earth-Moon transfer orbit using the patched-conic approximation (2015)
  9. Burachik, R.S.; Kaya, C.Y.; Rizvi, M.M.: A new scalarization technique to approximate Pareto fronts of problems with disconnected feasible sets (2014)
  10. Chow, Joseph Y.J.; Regan, Amelia C.: A surrogate-based multiobjective metaheuristic and network degradation simulation model for robust toll pricing (2014)
  11. García-Alonso, Carlos R.; Pérez-Naranjo, Leonor M.; Fernández-Caballero, Juan C.: Multiobjective evolutionary algorithms to identify highly autocorrelated areas: the case of spatial distribution in financially compromised farms (2014)
  12. Khorram, E.; Khaledian, K.; Khaledyan, M.: A numerical method for constructing the Pareto front of multi-objective optimization problems (2014)
  13. Qu, Shaojian; Liu, Chen; Goh, Mark; Li, Yijun; Ji, Ying: Nonsmooth multiobjective programming with quasi-Newton methods (2014)
  14. García-Alonso, Carlos R.; Campoy-Muñoz, Pilar; Salazar Ordoñez, Melania: A multi-objective evolutionary algorithm for enhancing Bayesian networks hybrid-based modeling (2013)
  15. Li, Wen-Yu; Zhang, Xiang; Jia, Shu-Cong; Gu, Xin-Yu; Zhang, Lin; Duan, Xiao-Yu; Lin, Jia-Ru: A novel dynamic adjusting algorithm for load balancing and handover co-optimization in LTE SON (2013)
  16. Wilson, Duncan T.; Hawe, Glenn I.; Coates, Graham; Crouch, Roger S.: A multi-objective combinatorial model of casualty processing in major incident response (2013)
  17. Auger, Anne; Bader, Johannes; Brockhoff, Dimo; Zitzler, Eckart: Hypervolume-based multiobjective optimization: theoretical foundations and practical implications (2012)
  18. Henry, D.: Structured fault detection filters for LPV systems modeled in an LFR manner (2012)
  19. Logist, Filip; van Impe, Jan: Novel insights for multi-objective optimisation in engineering using normal boundary intersection and (enhanced) normalised normal constraint (2012)
  20. Siddiqui, S.; Azarm, S.; Gabriel, S.A.: On improving normal boundary intersection method for generation of Pareto frontier (2012)

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