Modeling parameters of the lower and upper bounds and parameters of the objective function for generalized network flow programming problems

Abstract

In this paper, we propose the mathematical models of the inverse optimization for modeling parameters of the lower and upper bounds and parameters of the objective function for one generalized inhomogeneous linear network flow programming problem under a norm. We have considered the numerical example of modeling of the parameters of the lower and upper bounds, where new parameters are adjusted as little as possible so, that the infeasible solution becomes the feasible solution for the new values parameters.