Second order symmetric duality for nonlinear multiobjective mixed integer programming

Second order symmetric duality for nonlinear multiobjective mixed integer programming

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Article ID: iaor20053320
Country: Netherlands
Volume: 161
Issue: 3
Start Page Number: 673
End Page Number: 682
Publication Date: Mar 2005
Journal: European Journal of Operational Research
Authors: ,
Keywords: programming: nonlinear
Abstract:

We formulate two pairs of second order symmetric duality for nonlinear multiobjective mixed integer programs for arbitrary cones. By using the concepts of efficiency and second order invexity, we establish weak, strong, converse and self-duality theorems for the dual models. Several known results are obtained as special cases.

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