Technique for optimizing the adaptive control of the output of an enterprise based on a dynamical economic and mathematical model

Abstract

The article is devoted to the application of dynamic economic and mathematical models for managing the production of an enterprise based on the use of the feedback principle. Formation of a discrete controllable dynamical system is given, which describes the process of production output by a manufacturing enterprise in the presence of a predictable demand function for products. The phase vector of a dynamical system describes the main parameters of production, and the control action vector (control vector) describes the intensity of the use of technological methods of production that are available to the subject of control. It is assumed that in each period of time the subject of control knows the vector function that describes the volume of demand for the company's products in subsequent periods of time, and the given geometric restrictions on the implementation of the phase vector, control vector and demand vector are also known. As the target function of the problem, the value of the discrepancy between the volumes of output by the enterprise relative to the given predicted value of the demand function in the subsequent control period is considered. Using the generated dynamical system, the paper proposes an economic-mathematical model of the studied problem of optimizing the adaptive control of the enterprise's output, which includes a class of admissible strategies for adaptive control and the formulation of the problem. The paper proposes a method for solving the formulated problem of optimizing the adaptive control of the output of an enterprise, which is implemented as a finite sequence of one-step algebraic operations on vectors of a finite-dimensional vector space, a finite set of solutions to problems of linear and convex mathematical programming. The results obtained can be used in the development of intelligent decision support systems for the actual tasks of managing the production of products at industrial enterprises.