Second order symmetric duality for nonlinear minimax mixed integer programs

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Article ID:	iaor19991995
Country:	Netherlands
Volume:	101
Issue:	1
Start Page Number:	122
End Page Number:	129
Publication Date:	Aug 1997
Journal:	European Journal of Operational Research
Authors:	Gulati T.R., Ahmad Izhar
Keywords:	minimax problem, duality

Abstract:

Wolfe type second order minimax mixed integer dual programs are formulated and a symmetric duality theorem is established under separability and bonvexity/boncavity of the kernel function K(x,y). Mond–Weit type symmetric duality is also discussed under weaker bonvexity assumptions. Moreover, self-duality theorems for these pairs are obtained assuming K(x,y) to be skew symmetric.

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