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 208 articles , 1 standard article )

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  1. Ehrgott, Matthias; Winz, Ines: Interactive decision support in radiation therapy treatment planning (2008)
  2. Eichfelder, Gabriele: Adaptive scalarization methods in multiobjective optimization (2008)
  3. Gourion, Daniel; Luc, Dinh The: Generating the weakly efficient set of nonconvex multiobjective problems (2008)
  4. Kumar, Apurva; Nair, Prasanth B.; Keane, Andy J.; Shahpar, Shahrokh: Robust design using Bayesian Monte Carlo (2008)
  5. Masin, Michael; Bukchin, Yossi: Diversity maximization approach for multiobjective optimization (2008)
  6. Miglierina, E.; Molho, E.; Recchioni, M. C.: Box-constrained multi-objective optimization: A gradient-like method without “a priori” scalarization (2008)
  7. Shao, Lizhen; Ehrgott, Matthias: Approximately solving multiobjective linear programmes in objective space and an application in radiotherapy treatment planning (2008)
  8. Siozios, Kostas; Bartzas, Alexandros; Soudris, Dimitrios: Architecture-level exploration of alternative interconnection schemes targeting 3D FPGAs: a software-supported methodology (2008) ioport
  9. Tang, Zhili; Bai, Wen; Dong, Jun: Distributed optimization using virtual and real game strategies for multi-criterion aerodynamic design (2008)
  10. van den Berg, Ewout; Friedlander, Michael P.: Probing the Pareto frontier for basis pursuit solutions (2008)
  11. Belfares, Lamia; Klibi, Walid; Lo, Nassirou; Guitouni, Adel: Multi-objectives tabu search based algorithm for progressive resource allocation (2007)
  12. Engau, Alexander; Wiecek, Margaret M.: 2D decision-making for multicriteria design optimization (2007)
  13. García-Martínez, C.; Cordón, O.; Herrera, F.: A taxonomy and an empirical analysis of multiple objective ant colony optimization algorithms for the bi-criteria TSP (2007)
  14. Martínez Miranzo, Miguel; Sanchis, Javier; Blasco, Francesc X.: Global and well-distributed Pareto frontier by modified normalized normal constraint methods for bicriterion problems (2007)
  15. Portilla-Flores, Edgar A.; Mezura-Montes, Efrén; Álvarez-Gallegos, Jaime; Coello-Coello, Carlos A.; Cruz-Villar, Carlos A.: Integration of structure and control using an evolutionary approach: an application to the optimal concurrent design of a CVT (2007)
  16. Rangavajhala, Sirisha; Mullur, Anoop; Messac, Achille: The challenge of equality constraints in robust design optimization: examination and new approach (2007)
  17. Shukla, Pradyumn Kumar; Deb, Kalyanmoy: On finding multiple Pareto-optimal solutions using classical and evolutionary generating methods (2007)
  18. Dinh The Luc; Tai Quynh Phong; Michel, Volle: A new duality approach to solving concave vector maximization problems (2006)
  19. Fliege, Jörg: An efficient interior-point method for convex multicriteria optimization problems (2006)
  20. Kim, I. Y.; de Weck, O. L.: Adaptive weighted sum method for multiobjective optimization: a new method for Pareto front generation (2006)

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