Decomposition Algorithm in a Nonlinear Transport Problem with Storage

Previously, a method was proposed for solving the classical transport problem in an integer formulation, based on the decomposition of the original problem into a sequence of two-dimensional problems with recalculation of the coefficients of the objective functions. The method was then extended to cover additional points of production and consumption. This paper considers the case when the transportation costs for additional points are proportional to arbitrary powers of the transportation volume.