Normal-Boundary Intersection: A New Method for Generating the Pareto Surface in Nonlinear  Multicriteria Optimization Problems

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dc.contributor.authorDas, Indraneelen_US
dc.contributor.authorDennis, J.E. Jr.en_US
dc.date.accessioned2018-06-18T17:42:59Zen_US
dc.date.available2018-06-18T17:42:59Zen_US
dc.date.issued1996-07en_US
dc.date.noteJuly 1996en_US
dc.description.abstractThis 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.en_US
dc.format.extent29 ppen_US
dc.identifier.citationDas, Indraneel and Dennis, J.E. Jr.. "Normal-Boundary Intersection: A New Method for Generating the Pareto Surface in Nonlinear  Multicriteria Optimization Problems." (1996) <a href="https://hdl.handle.net/1911/101880">https://hdl.handle.net/1911/101880</a>.en_US
dc.identifier.digitalTR96-19en_US
dc.identifier.urihttps://hdl.handle.net/1911/101880en_US
dc.language.isoengen_US
dc.relation.HasVersionSIAM J. Optim. 8 (1998), no. 3, 631-657en_US
dc.titleNormal-Boundary Intersection: A New Method for Generating the Pareto Surface in Nonlinear  Multicriteria Optimization Problemsen_US
dc.typeTechnical reporten_US
dc.type.dcmiTexten_US
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