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.
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References in zbMATH (referenced in 208 articles , 1 standard article )
Showing results 201 to 208 of 208.
Sorted by year (- Zhang, W. H.: On the Pareto optimum sensitivity analysis in multicriteria optimization (2003)
- Messac, Achille; Mattson, Christopher A.: Generating well-distributed sets of Pareto points for engineering design using physical programming (2002)
- Sarker, Ruhul; Liang, Ko-Hsin; Newton, Charles: A new multiobjective evolutionary algorithm (2002)
- Schandl, B.; Klamroth, K.; Wiecek, M. M.: Norm-based approximation in multicriteria programming. (2002)
- Proos, K. A.; Steven, G. P.; Querin, O. M.; Xie, Y. M.: Stiffness and inertia multicriteria evolutionary structural optimisation. (2001)
- Messac, Achille; Puemi-Sukam, Cyriaque; Melachrinoudis, Emanuel: Aggregate objective functions and Pareto frontiers: required relationships and practical implications (2000)
- Thompson, David F.; Gupta, Shubhagm; Shukla, Amit: Tradeoff analysis in minimum volume design of multi-stage spur gear reduction units (2000)
- Das, Indraneel; Dennis, J. E.: Normal-boundary intersection: A new method for generating the Pareto surface in nonlinear multicriteria optimization problems (1998)