Finin G. S.
Ukr. Mat. Zh. - 2001. - 53, № 4. - pp. 568-571
We propose a method for the solution of a locally finite system of linear inequalities that arises in the course of solution of problems of control over resource in networks with generalized Kirchhoff law. We present a criterion for a system of inequalities to have the graph structure.
Ukr. Mat. Zh. - 2001. - 53, № 1. - pp. 50-56
We study methods for the elimination of an unknown or a group of unknowns from systems of linear inequalities. We justify these methods by using the Helly theorem. The methods considered are applied to the calculation of streams in networks with a generalized conservation law.