Применение методов статистической физики для описания стационарного функционирования производственных систем

Abstract

The mathematical model of economic - industrial systems with mass production is constructed. The state of the production system at any moment is set by a point in two-dimension phase space. The distribution function for a base product is introduced and for it, the equation being analogue of a rate equation in physics is noted. The engineering - industrial and generating functions are determined. In a zero approximation, the closed system of the equations for the moments of a distribution function is written. For a closed system of equations of state of macro parameters of an industrial system, the equations of a perturbed state are obtained. Stability conditions of operation of an industrial system are defined.