Minimax and symmetric duality for nonlinear multiobjective mixed integer programming

Article Abstract:

Research is presented concerning the establishment of strong, converse, weak and self-duality theorems for two pairs of symmetric duality models relevant to multiobjective mixed integer programs which are nonlinear.

Operations research, Research, Management, Usage, Industrial efficiency, Economic efficiency, Mathematical analysis, Symmetric functions

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Minimax and symmetric duality for a class of multiobjective variational mixed integer programming problems

Article Abstract:

A pair of multiobjective variational mixed integer programs for arbitrary cones are formulated. Weak, strong, converse and self-duality theorems related to efficient solutions are established.

Research and Development in the Social Sciences and Humanities, Management & Information Science, Management Science, Integer programming

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Multiobjective symmetric duality with cone constraints

Article Abstract:

A unification of the Wolfe vector symmetric dual and the Mond-Weir vector symmetric dual models was effected in the formulation of a pair of multiobjective symmetric dual programs for pseudo-invex functions and arbitrary cones. A number of theorems were developed to attain the unification of the duality models, including formulations on weak, strong, converse and self-duality theorems.

Models, Duality theory (Mathematics), Nonlinear programming

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