On the productivity of the interval linear economic model of the inter-industry balance

In this paper, we consider the interval formulation of the intersectoral balance problem, which is the basis of many linear economic models. The analysis of the productivity of the Leontief model in the conditions of interval uncertainty of the initial data is given. A theorem on the productivity of the interval linear model of the inter industry balance is formulated and proved. Here we rely on the interval Frobenius eigenvalue for the considered interval matrix of coefficients of direct production costs.