Role of higher order parameter-free asymptotically optimality models with random functions for discrete minmax fractional programming

Abstract

We introduce the new concepts for optimality models regarding on the several random function and establish several sets of generalized parameter-free asymptotically sufficient optimality conditions with random functions for a discrete minmax fractional programming problem using two partitioning schemes and various second-order (F,?,?,?,?,?,m)-random univexity constraints. The obtained optimality results are application-oriented to other problems in mathematical programming in the interdis-ciplinary nature as well.