Second-Order Symmetric Duality for Minimax Mixed Integer Programs over Cones

نویسندگان

  • T. R. Gulati
  • S. K. Gupta
چکیده

A duality theorem for a pair of Wolfe-type second-order minimax mixed integer symmetric dual programs over cones is proved under separability and η-bonvexity/η-boncavity of the function k(x, y) appearing in the objective, where : . n m k R R R × ֏ Mond-Weir type symmetric duality over cones is also studied under η-pseudobonvexity/ηpseudoboncavity assumptions. Self duality (when the dual problem is identical to the primal problem) theorems are also obtained. KeywordsInteger programming, Symmetric duality, Minimax, Self duality, η-bonvexity ∗ Corresponding author’s email: [email protected] International Journal of Operations Research

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تاریخ انتشار 2006