Mond-Weir type second order minimax mixed integer programming involving generalised (φ, δ)-univex functions

Arun Kumar Tripathy and Gayatri Devi

International Journal of Mathematics in Operational Research, 2013, vol. 5, issue 5, 626-647

Abstract: 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 (φ, δ)-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.

Keywords: minimax mixed integer programming; non-differentiable symmetric programming; self-duality; efficient solutions; Schwartz inequality; second order (phi, delta)-pseudounivexity; Mond-Weir. (search for similar items in EconPapers)
Date: 2013
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