Mond-Weir type second order minimax mixed integer programming involving generalised (\(\phi\), \(\delta\))-univex functions (Q1753792)
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scientific article; zbMATH DE number 6876022
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mond-Weir type second order minimax mixed integer programming involving generalised (\(\phi\), \(\delta\))-univex functions |
scientific article; zbMATH DE number 6876022 |
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Mond-Weir type second order minimax mixed integer programming involving generalised (\(\phi\), \(\delta\))-univex functions (English)
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29 May 2018
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Summary: In this paper, we presented a pair of Mond-Weir type non-differentiable second order symmetric minimax mixed integer primal and dual problem containing quadratic form. The duality theorems are established under second order (\(\phi\), \(\delta\))-pseudounivexity assumption. Also self-duality theorem is proved with an example. At the end, several known results are obtained as special cases and a numerical example is developed which validates the model and weak duality theorem.
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minimax mixed integer programming
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non-differentiable symmetric programming
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self-duality
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efficient solutions
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Schwartz inequality
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second-order (\(\phi\), \(\delta\))-pseudounivexity
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