A Software Complex of Preparation for Solving a Multilinear Programming Problem

Models based on multilinear functions are considered. Previously, a form was proposed for representing the original multilinear programming problem in the form of two tables: a table of monomials, a table of multilinear constraints, and a criterion. In this paper, two tables are combined into one which includes tables of monomials and multilinear functions. It is created in a screen editor and saved in a sequential file. The user can read the description of the multilinear programming problem in the editor, adjust its parameters, to a certain extent, and the structure of the model, and start optimization. Formulas for evaluating multilinear constraints with control for weakness and incompatibility are proposed. The technology is illustrated in various models. For a specific bilinear model, it is substantiated that the obtained solution of the multilinear programming problem gives the absolute maximum of the criterion.