Nonlinear integer transportation problem with additional supply and consumption points

An iterative decomposition method based on the sequential solution of two-dimensional problems subject to constraints from different groups is successfully applied to the case of integer transportation problems with convex objective functions and ascribed suppliers and consumers is proposed. Through the introduction of new variables, it has been possible to extend the constructions of the algorithm in which the central point is the solution of optimization problems with two constraints. A detailed analysis of these problems is presented in the present paper.